118 research outputs found

    Condition Assessment and Fault Prognostics of Microelectromechanical Systems.

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    International audienceMicroelectromechanical systems (MEMS) are used in different applications such as automotive, biomedical, aerospace and communication technologies. They create new functionalities and contribute to miniaturize the systems and reduce their costs. However, the reliability of MEMS is one of their major concerns. They suffer from different failure mechanisms which impact their performance, reduce their lifetime and their availability. It is then necessary to monitor their behavior and assess their health state to take appropriate decision such as control reconfiguration and maintenance. These tasks can be done by using Prognostic and Health Management (PHM) approaches. This paper addresses a condition assessment and fault prognostic method for MEMS. The paper starts with a short review about MEMS and presents some challenges identified and which need to be raised to implement PHM methods. The purpose is to highlight the intrinsic constraints of MEMS from PHM point of view. The proposed method is based on a global model combining both nominal behavior model and degradation model to assess the health state of MEMS and predict their remaining useful life. The method is applied on a microgripper, with different degradation models, to show its effectiveness

    Identification and control of diffusive systems applied to charge trapping and thermal space sensors

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    The work underlying this Thesis, has contributed to the main study and characterization of diffusive systems. The research work has been focused on the analysis of two kind of systems. On the one hand, the dynamics of thermal anemometers has been deeply studied. These sensors detect the wind velocity by measuring the power dissipated of a heated element due to forced convection. The thermal dynamics of different sensor structures have been analyzed and modeled during the Thesis work. On the other hand, we have dealed with microelectromechanical systems (MEMS). The dynamics of charge trapped in the dielectric layer of these systems has also been studied. It is know, that this undesired effect has been associated to diffusion phenomena. In this Thesis a characterization method based on the technique of Diffusive Representation (DR), for linear and nonlinear time-varying diffusive systems, is presented. This technique allows to describe a system with an arbitrary order state-space model in the frequency domain. The changes in the dynamics of a system over time may come as a result of the own actuation over the device or as a result of an external disturbance. In the wind sensor case, the time variation of the model comes from the wind, which is an external disturbance, whereas in the MEMS case, changes in the actuation voltage generate time-variation in the model. The state-space models obtained from DR characterization have proven to be able to reproduce and predict the behaviour of the devices under arbitrary excitations. Specifically, in the case of wind sensors, the thermal dynamics of these sensors, under constant temperature operation, has been predicted for different wind velocities using Sliding Mode Controllers. As it has been observed, these controllers also help to understand how the time response of a system, under closed loop, can be accelerated beyond the natural limit imposed by its own thermal circuit if the thermal filter associated to the sensor structure has only one significative time constant. The experimental corroboration of the thermal analysis is presented with various prototypes of wind sensors for Mars atmosphere. On one side, the time-varying thermal dynamics models of two different prototypes of a spherical 3-dimensional wind sensor, developed by the Micro and Nano Technologies group of the UPC, have been obtained. On the other side, the engineering model prototype of the wind sensor of the REMS (Rover Environmental Monitoring Station) instrument that it is currently on board the Curiosity rover in Mars has been characterized. For the characterization of the dynamics of the parasitic charge trapped in the dielectric layer of a MEMS device, the experimental validation is obtained through quasi-differential capacitance measurements of a two-parallel plate structure contactless capacitive MEMS.El trabajo que subyace a esta Tesis, ha contribuido principalmente al estudio y la caracterización de los sistemas difusivos. El trabajo de investigación se ha centrado en el análisis de dos tipos de sistemas. Por un lado, la dinámica de los anemómetros térmicos ha sido estudiada en profundidad. Estos sensores detectan la velocidad del viento a través de la medida de la potencia disipada en un elemento caliente debido a la convección forzada. Durante el trabajo de esta Tesis, se ha analizado y modelado la dinámica térmica de diferentes sensores . Por otro lado, se han tratado también los sistemas microelectromecánicos (MEMS). Se ha estudiado la dinámica de la carga atrapada en la capa dieléctrica de estos sistemas. Este fenómeno lento e indeseado está asociado a fenómenos de difusión. En esta Tesis se presenta un método de caracterización basado en la técnica de Representación Difusa (DR), para sistemas difusivos lineales y no lineales que varían en el tiempo. Esta técnica permite describir un sistema con un modelo de variables de estado de orden arbitrario en el dominio frecuencial. Los cambios en la dinámica de un sistema a lo largo del tiempo pueden ser debidos a la propia actuación sobre el dispositivo o como resultado de una perturbación externa. En el caso del sensor de viento, la variación de tiempo del modelo proviene de la propia variación del viento, la cual es una perturbación externa, mientras que en el caso de los dispositivos MEMS, los cambios en la tensión de actuación generan variaciones en el tiempo en el modelo. Los modelos de variables de estado obtenidos a partir de la caracterización con Representación Difusiva tienen la capacidad de reproducir y predecir el comportamiento de dichos dispositivos ante excitaciones arbitrarias. En concreto, en el caso de los sensores de viento, la dinámica térmica de estos sensores, operando a temperatura constante, se ha predicho para diferentes velocidades de viento, usando la teoría de los Sliding Mode Controllers (Controladores de Modo Deslizante). Tal y como se ha observado, estos controladores ayudan también a comprender cómo la respuesta temporal de un sistema, en lazo cerrado, puede acelerarse más allá del límite natural impuesto por su propio circuito térmico si el filtro térmico asociado a la estructura del sensor tiene solo una constante de tiempo significativa. La corroboración experimental del análisis térmico se presenta con varios prototipos de sensores de viento para la atmósfera de Marte. Por un lado, se han obtenido los modelos de la dinámica térmica variable en el tiempo de dos prototipos diferentes de un sensor de viento 3D esférico, desarrollado por el grupo de Micro y Nano Tecnologías de la UPC. Por otro lado, se ha caracterizado el prototipo de modelo de ingeniería del sensor de viento del instrumento REMS (Rover Environmental Monitoring Station) que está actualmente abordo del rover Curiosity en Marte. Para la caracterización de la dinámica de la carga atrapada en la capa dieléctrica de un dispositivo MEMS, la validación experimental se ha obtenido a través de medidas cuasi-diferenciales de la capacidad de un dispositivo MEMS con estructura de dos placas paralelas.Postprint (published version

    Identification and control of diffusive systems applied to charge trapping and thermal space sensors

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    The work underlying this Thesis, has contributed to the main study and characterization of diffusive systems. The research work has been focused on the analysis of two kind of systems. On the one hand, the dynamics of thermal anemometers has been deeply studied. These sensors detect the wind velocity by measuring the power dissipated of a heated element due to forced convection. The thermal dynamics of different sensor structures have been analyzed and modeled during the Thesis work. On the other hand, we have dealed with microelectromechanical systems (MEMS). The dynamics of charge trapped in the dielectric layer of these systems has also been studied. It is know, that this undesired effect has been associated to diffusion phenomena. In this Thesis a characterization method based on the technique of Diffusive Representation (DR), for linear and nonlinear time-varying diffusive systems, is presented. This technique allows to describe a system with an arbitrary order state-space model in the frequency domain. The changes in the dynamics of a system over time may come as a result of the own actuation over the device or as a result of an external disturbance. In the wind sensor case, the time variation of the model comes from the wind, which is an external disturbance, whereas in the MEMS case, changes in the actuation voltage generate time-variation in the model. The state-space models obtained from DR characterization have proven to be able to reproduce and predict the behaviour of the devices under arbitrary excitations. Specifically, in the case of wind sensors, the thermal dynamics of these sensors, under constant temperature operation, has been predicted for different wind velocities using Sliding Mode Controllers. As it has been observed, these controllers also help to understand how the time response of a system, under closed loop, can be accelerated beyond the natural limit imposed by its own thermal circuit if the thermal filter associated to the sensor structure has only one significative time constant. The experimental corroboration of the thermal analysis is presented with various prototypes of wind sensors for Mars atmosphere. On one side, the time-varying thermal dynamics models of two different prototypes of a spherical 3-dimensional wind sensor, developed by the Micro and Nano Technologies group of the UPC, have been obtained. On the other side, the engineering model prototype of the wind sensor of the REMS (Rover Environmental Monitoring Station) instrument that it is currently on board the Curiosity rover in Mars has been characterized. For the characterization of the dynamics of the parasitic charge trapped in the dielectric layer of a MEMS device, the experimental validation is obtained through quasi-differential capacitance measurements of a two-parallel plate structure contactless capacitive MEMS.El trabajo que subyace a esta Tesis, ha contribuido principalmente al estudio y la caracterización de los sistemas difusivos. El trabajo de investigación se ha centrado en el análisis de dos tipos de sistemas. Por un lado, la dinámica de los anemómetros térmicos ha sido estudiada en profundidad. Estos sensores detectan la velocidad del viento a través de la medida de la potencia disipada en un elemento caliente debido a la convección forzada. Durante el trabajo de esta Tesis, se ha analizado y modelado la dinámica térmica de diferentes sensores . Por otro lado, se han tratado también los sistemas microelectromecánicos (MEMS). Se ha estudiado la dinámica de la carga atrapada en la capa dieléctrica de estos sistemas. Este fenómeno lento e indeseado está asociado a fenómenos de difusión. En esta Tesis se presenta un método de caracterización basado en la técnica de Representación Difusa (DR), para sistemas difusivos lineales y no lineales que varían en el tiempo. Esta técnica permite describir un sistema con un modelo de variables de estado de orden arbitrario en el dominio frecuencial. Los cambios en la dinámica de un sistema a lo largo del tiempo pueden ser debidos a la propia actuación sobre el dispositivo o como resultado de una perturbación externa. En el caso del sensor de viento, la variación de tiempo del modelo proviene de la propia variación del viento, la cual es una perturbación externa, mientras que en el caso de los dispositivos MEMS, los cambios en la tensión de actuación generan variaciones en el tiempo en el modelo. Los modelos de variables de estado obtenidos a partir de la caracterización con Representación Difusiva tienen la capacidad de reproducir y predecir el comportamiento de dichos dispositivos ante excitaciones arbitrarias. En concreto, en el caso de los sensores de viento, la dinámica térmica de estos sensores, operando a temperatura constante, se ha predicho para diferentes velocidades de viento, usando la teoría de los Sliding Mode Controllers (Controladores de Modo Deslizante). Tal y como se ha observado, estos controladores ayudan también a comprender cómo la respuesta temporal de un sistema, en lazo cerrado, puede acelerarse más allá del límite natural impuesto por su propio circuito térmico si el filtro térmico asociado a la estructura del sensor tiene solo una constante de tiempo significativa. La corroboración experimental del análisis térmico se presenta con varios prototipos de sensores de viento para la atmósfera de Marte. Por un lado, se han obtenido los modelos de la dinámica térmica variable en el tiempo de dos prototipos diferentes de un sensor de viento 3D esférico, desarrollado por el grupo de Micro y Nano Tecnologías de la UPC. Por otro lado, se ha caracterizado el prototipo de modelo de ingeniería del sensor de viento del instrumento REMS (Rover Environmental Monitoring Station) que está actualmente abordo del rover Curiosity en Marte. Para la caracterización de la dinámica de la carga atrapada en la capa dieléctrica de un dispositivo MEMS, la validación experimental se ha obtenido a través de medidas cuasi-diferenciales de la capacidad de un dispositivo MEMS con estructura de dos placas paralelas

    ARTIFICAL NEURAL NETWORKS IN RF MEMS SWITCH MODELING

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    The increased growth of the applications of RF MEMS switches in modern communication systems has created an increased need for their accurate and efficient models. Artificial neural networks have appeared as a fast and efficient modeling tool providing similar accuracy as the standard commercial simulation packages. This paper gives an overview of the applications of artificial neural networks in modeling of RF MEMS switches, in particular of the capacitive shunt switches, proposed by the authors of the paper. Models for the most important switch characteristics in electrical and mechanical domains are considered, as well as the inverse models aimed to determine the switch bridge dimensions for given requirements for the switch characteristics

    Joule heat effects on reliability of RF MEMS switches

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    Microelectromechanical systems (MEMS) technology has been evolving for about two decades and, now it is integrated in many designs, including radio frequency (RF) switches characterized by µm dimensions. Today, designers are attempting o develop the ideal RF MEMS switch, yet electro-thermo-mechanical (ETM) effects still limit the design possibilities and adversely affect reliability of these microswitches. The ETM effects are a result of Joule heat generated at the microswitch contact areas. This heat is due to the current passing through the microswitch, characteristics of the contact interfaces, and other parameters characterizing a particular design. It significantly raises temperature of the microswitch, thus affecting the mechanical and electrical properties of the contacts, which may lead to welding, causing a major reliability issue. Advanced research was performed, in this thesis, to minimize the Joule heat effects on the contact areas, thus improving performance of the microswitch. Thermal analyses done computationally on a cantilever-type RF MEMS switch indicate heat-effected zones and the influences that various design parameters have on these zones. Uncertainty analyses were also performed to ensure accuracy of the computational results, which indicate contact temperatures on the order of 700˚C, for the cases considered in this thesis. Although these temperatures are well below the melting temperatures of the materials used, new designs of the microswitches will have to be developed, in order to lower their maximum operating temperatures and reduce temporal effects they cause, to increase reliability of the RF MEMS switches

    Microelectromechanical Systems and Devices

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    The advances of microelectromechanical systems (MEMS) and devices have been instrumental in the demonstration of new devices and applications, and even in the creation of new fields of research and development: bioMEMS, actuators, microfluidic devices, RF and optical MEMS. Experience indicates a need for MEMS book covering these materials as well as the most important process steps in bulk micro-machining and modeling. We are very pleased to present this book that contains 18 chapters, written by the experts in the field of MEMS. These chapters are groups into four broad sections of BioMEMS Devices, MEMS characterization and micromachining, RF and Optical MEMS, and MEMS based Actuators. The book starts with the emerging field of bioMEMS, including MEMS coil for retinal prostheses, DNA extraction by micro/bio-fluidics devices and acoustic biosensors. MEMS characterization, micromachining, macromodels, RF and Optical MEMS switches are discussed in next sections. The book concludes with the emphasis on MEMS based actuators

    Dielectric charge control in contactless capacitive MEMS

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    Micro-Electro-Mechanical Systems, or MEMS, has been a continuously growing technology during the last decades. Since 1959, when the theoretical physicist Richard Feynman introduced the concept of nanotechnology in his famous talk "There is plenty of room at the bottom", several companies and researchers have been involved in the permanent improving of these devices. MEMS is the technology of microscopic devices, particularly those with moving parts and it is widely used in both sensing and actuating applications. In this regard, a large number of microsensors for almost every possible sensing modality have been de- veloped, including pressure, inertial forces, chemical species, magnetic fields, etc. Accordingly to this, MEMS can be found today in many real applications across multiple markets, such as automotive, consumer, defense, industrial, medical, telecommunications, etc. The main advantages for the use of MEMS in front of other classical technologies are small size, low cost, high isolation and low power consumption. However, there are still some reliability issues hindering the use of MEMS devices in some applications. Mechanical and electrical phenomena involving such micro-scale structures have been matter of study during the last years, being dielectric charging the most important in the case of electrostatically actuated MEMS. The charge accumulated in dielectric layers has a significant impact on the behavior of such devices by altering the electric field distribution in the structure and causing some undesirable effects such as shifts of the Capacitance-Voltage (C-V) characteristic and even permanent stiction of movable mechanical parts, so that the device becomes permanently damaged. Thus, detection and control of dielectric charge are of capital importance due to their strong influence on device performance and reliability. In order to face this challenge, in this Thesis dielectric charge phenomena have been studied under bipolar voltage actuation and several different control strategies have been proposed. These control schemes have demonstrated to be useful to set the dielectric charge to a desired level for contactless MEMS such as varactors, electrostatic positioners or microphone MEMS. Furthermore, these methods have provided the first active compensation of charge trapping generated by ionizing radiation in any device. The first approach to control trapped charge proposed consisted in alternating voltage polarity, depending on the sampled value of the device capacitance. This method demonstrated the feasibility of compensating horizontal shifts of the C-V by charge injection while paving the way for the second control proposed. For the implementation of this second method, which was later patented worldwide, two voltage waveforms were introduced for both monitoring and controlling the net trapping charge. This method resulted in a true sigma-delta modulator capable of providing control for both signs of net trapped charge. Finally, two further methods were proposed which improved the performance of the second control. The first one implemented a second-order sigma-delta control and the last one introduced some modifications in the feedback loop to allow continuous capacitance control while dielectric charge is being also controlled.Los sistemas micro-electromecánicos, conocidos como MEMS, constituyen una alternativa tecnologíca que ha experimentado un gran crecimiento en las últimas décadas. Desde que en 1959, cuando el físico teórico Richard Feynman introdujo el concepto de nanotecnología en su famosa conferencia "There is plenty of room at the bottom", multitud de investigadores y empresas se han dedicado al desarrollo y la mejora permanente de este tipo de dispositivos. Las principales ventajas del uso de MEMS frente otras tecnologías más clásicas radican en su menor tamaño, su reducido coste y su bajo consumo. En tanto MEMS se refiere habitualmente a tecnologías micrométricaa de dispositivos que presentan partes móbiles, éstos son extensamente utilizados en aplicaciones tanto de detección como de actuación. Así, se ha desarrollado un gran número de microsensores MEMS, cubriendo prácticamente todas las modalidades de detección, incluyendo presión, fuerzas inerciales, sustancias químicas, campos magnéticos, etc. Hoy en día, se utilizan dispositivos MEMS en aplicaciones de mercados como automoción, industria, medicina, telecomunicaciones, defensa, etc. Sin embargo, existen aún problemas de fiabilidad que limitan el uso de los MEMS en determinadas aplicaciones. Los fenómenos mecánicos y eléctricos que se producen en estas estructuras micrométricas han sido objeto de estudio durante los últimos años, siendo el más destacado el producido por la carga eléctrica acumulada en las capas dieléctricas que forman parte de los MEMS actuados electrostáticamente. Esta acumulación de carga altera la distribución de campo eléctrico en el dispositivo, afectando el comportamiento y las prestaciones de éste y causando efectos no deseados, como desplazamientos de la característica Capacidad-Tensión (C-V) e incluso colapsos indeseados de las partes móviles, que pueden conllevar daños permanentes. En consecuencia, la detección y el control de la carga acumulada en dieléctricos de MEMS son temas de vital importancia, debido a su enorme impacto en el rendimiento y la fiabilidad de los dispositivos. Esta Tesis aborda este desafío, primero estudiando y modelizando la dinámica de la acumulación de carga dieléctrica cuando el dispositivo se actúa con tensiones bipolares, y, a continuación, proponiendo y evaluando estrategias de control de dicha carga. Se han demostrado estrategias que, por primera vez, permiten mantener un nivel de carga prefijado en dispositivos MEMS que operan en estado abierto, como varactores, posicionadores electrostáticos o micrófonos MEMS. Además, estos controles han permitido realizar la primera demostración de compensación activa de carga generada por radiaciones ionizantes en dispositivos MEMS. El primer control propuesto consistía en alternar la polaridad de la tensión de actuación, dependiendo del valor de capacidad del dispositivo medido periódicamente. Con el uso de este método se demostró la factibilidad de compensar desplazamientos horizontales de la C-V mediante la inyección de carga debida a la actuación y se abrió el camino para la concepción de un segundo método mejorado. Para la implementación de este segundo método, que fue patentado más tarde, se propusieron dos formas de onda para actuar el dispositivo, que permiten tanto la monitorización como el control de la carga atrapada. Este método se basa en la modulación sigma-delta de primer orden y permite, por primera vez, controlar la carga neta atrapada en el dieléctrico. Finalmente, se han propuesto dos métodos de control más, con el objetivo de introducir mejoras sobre los ya comentados. El primero de ellos implementa una modulación sigma-delta de segundo orden, mientras que en el segundo se introducen algunas modificaciones en el lazo de ralimentación que permiten el control de la capacidad del dispositivo al mismo tiempo que el control de la carga neta atrapada

    From RF-Microsystem Technology to RF-Nanotechnology

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    The RF microsystem technology is believed to introduce a paradigm switch in the wireless revolution. Although only few companies are to date doing successful business with RF-MEMS, and on a case-by-case basis, important issues need yet to be addressed in order to maximize yield and performance stability and hence, outperform alternative competitive technologies (e.g. ferroelectric, SoS, SOI,…). Namely the behavior instability associated to: 1) internal stresses of the free standing thin layers (metal and/or dielectric) and 2) the mechanical contact degradation, be it ohmic or capacitive, which may occur due to low forces, on small areas, and while handling severe current densities.The investigation and understanding of these complex scenario, has been the core of theoretical and experimental investigations carried out in the framework of the research activity that will be presented here. The reported results encompass activities which go from coupled physics (multiphysics) modeling, to the development of experimental platforms intended to tackles the underlying physics of failure. Several original findings on RF-MEMS reliability in particular with respect to the major failure mechanisms such as dielectric charging, metal contact degradation and thermal induced phenomena have been obtained. The original use of advanced experimental setup (surface scanning microscopy, light interferometer profilometry) has allowed the definition of innovative methodology capable to isolate and separately tackle the different degradation phenomena under arbitrary working conditions. This has finally permitted on the one hand to shed some light on possible optimization (e.g. packaging) conditions, and on the other to explore the limits of microsystem technology down to the nanoscale. At nanoscale indeed many phenomena take place and can be exploited to either enhance conventional functionalities and performances (e.g. miniaturization, speed or frequency) or introduce new ones (e.g. ballistic transport). At nanoscale, moreover, many phenomena exhibit their most interesting properties in the RF spectrum (e.g. micromechanical resonances). Owing to the fact that today’s minimum manufacturable features have sizes comparable with the fundamental technological limits (e.g. surface roughness, metal grain size, …), the next generation of smart systems requires a switching paradigm on how new miniaturized components are conceived and fabricated. In fact endowed by superior electrical and mechanical performances, novel nanostructured materials (e.g. carbon based, as carbon nanotube (CNT) and graphene) may provide an answer to this endeavor. Extensively studied in the DC and in the optical range, the studies engaged in LAAS have been among the first to target microwave and millimiterwave transport properties in carbon-based material paving the way toward RF nanodevices. Preliminary modeling study performed on original test structures have highlighted the possibility to implement novel functionalities such as the coupling between the electromagnetic (RF) and microelectromechanical energy in vibrating CNT (toward the nanoradio) or the high speed detection based on ballistic transport in graphene three-terminal junction (TTJ). At the same time these study have contributed to identify the several challenges still laying ahead such as the development of adequate design and modeling tools (ballistic/diffusive, multiphysics and large scale factor) and practical implementation issues such as the effects of material quality and graphene-metal contact on the electrical transport. These subjects are the focus of presently on-going and future research activities and may represent a cornerstone of future wireless applications from microwave up to the THz range

    Characterisation and modelling of degradation mechanisms in RF MEMS capacitive switches during hold-down operation

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    RF MEMS switches represent an attractive alternative technology to current mechanical (e.g. coaxial and waveguide) and solid-state (e.g. PIN diode and FET transistor) RF switch technologies. The materials and fabrication techniques used in MEMS manufacture enable mechanically moveable devices with high RF performance to be fabricated on a miniature scale. However, the operation of these devices is affected by several mechanical and electrical reliability concerns which limit device lifetimes and have so far prevented the widespread adoption and commercialisation of RF MEMS. While a significant amount of research and development on RF MEMS reliability has been performed in recent years, the degradation mechanisms responsible for these reliability concerns are still poorly understood. This is due to the multi-physical nature of MEMS switches where multiple mechanical and electrical degradation mechanisms can simultaneously affect device behaviour with no clear way of distinguishing between their individual effects. As such, little progress has been made in proposing solutions to these reliability concerns. While some RF MEMS switches have recently been commercialised, their success has come at the expense of decreased performance due to design changes necessarily imposed to prevent device failure. However, more high performance switches could be developed if the mechanisms responsible for reliability problems could be understood and solved. The work of this thesis is focussed on the isolation and study of individual reliability mechanisms in RF MEMS capacitive switches. A bipolar hold-down technique is used to minimise the effects of dielectric charging and allow mechanical degradation to be studied in isolation in aluminium-based capacitive switches. An investigation of mechanical degradation leads to the identification of grain boundary sliding as the physical process responsible for the decreased mechanical performance of a switch. An alternative material for the switch movable electrode is investigated and shown to be mechanically robust. The effects of dielectric charging are isolated from mechanical degradation using mechanically robust switches. The isolated investigation of dielectric charging leads to the identification of two major charging mechanisms which take place at the bulk and surface of the dielectric, respectively. The exchange of charge from interface traps is identified as the physical mechanism responsible for bulk dielectric charging. An investigation of surface dielectric charging reveals how this reliability concern depends on the structure and design of a switch. Finally, electrical and material means of minimising dielectric charging are investigated. The findings and results presented in this thesis represent a significant contribution to the state-of the- art understanding of RF MEMS capacitive switch reliability. By implementing the design changes and material solutions proposed in this work, the performance and lifetime of RF MEMS capacitive switches can be greatly improved
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