73 research outputs found

    Basic Properties and Stability of Fractional-Order Reset Control Systems

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    Reset control is introduced to overcome limitations of linear control. A reset controller includes a linear controller which resets some of states to zero when their input is zero or certain non-zero values. This paper studies the application of the fractional-order Clegg integrator (FCI) and compares its performance with both the commonly used first order reset element (FORE) and traditional Clegg integrator (CI). Moreover, stability of reset control systems is generalized for the fractional-order case. Two examples are given to illustrate the application of the stability theorem.Comment: The 12th European Control Conference (ECC13), Switzerland, 201

    Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis

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    No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help to the system designer. It is part I of two companion papers and introduces the fundamentals of fractional-order hybrid systems, in particular, modeling and stability analysis of two kinds of such systems, i.e., fractional-order switching and reset control systems. Some examples are given to illustrate the applicability and effectiveness of the developed theory. Part II will focus on fractional-order hybrid control.Comment: 2014 International Conference on Fractional Differentiation and its Application, Ital

    Hybrid Systems and Control With Fractional Dynamics (II): Control

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    No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help the system designer. It is part II of two companion papers and focuses on fractional-order hybrid control. Specifically, two types of such techniques are reviewed, including robust control of switching systems and different strategies of reset control. Simulations and experimental results are given to show the effectiveness of the proposed strategies. Part I will introduce the fundamentals of fractional-order hybrid systems, in particular, modelling and stability of two kinds of such systems, i.e., fractional-order switching and reset control systems.Comment: 2014 International Conference on Fractional Differentiation and its Application, Ital

    Fractional Order Hybrid Systems and Their Stability

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    This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, Hβ_{\beta}-condition is used --frequency domain equivalence of Lyapunov-like method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.Comment: 14th International Carpathian Control Conference, Krak\'ow-Rytro, Poland, May 26-29, 2013. arXiv admin note: text overlap with arXiv:1303.530

    Frequency response of IPMC actuators: physical characterization and identification for control

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    [Abstract] Ionic polymer metal composite (IPMC) actuators have promising applications in robotics and medicine in a not distance future, which will require a big knowledge in different fields, such as, manufacturing, material characterization and control theory. In this paper, frequency response of several IPMC actuators, cut from the same bulk IPMC sheet with a micro laser etching machine, is analyzed. Specifically, the objective is to 1) characterize each actuator, i.e., determine how cutting affects to the parameters of the physical model of this kind of actuators, and 2) identify a model for each actuator for control purposes. The frequency responses have been obtained experimentally in LabVIEW by attaching a couple of gold electrodes to each IPMC unit and measuring the tip deection by means of a laser distance meter.[Resumen] Los actuadores de compuesto de polímero metálico iónico (IPMC) tienen aplicaciones prometedoras en robótica y medicina en un futuro no lejano, lo que requerirá un gran conocimiento en diferentes campos, como la fabricación, la caracterización de materiales y la teoría de control. En este documento, se analiza la respuesta de frecuencia de varios actuadores IPMC, cortados de la misma hoja de IPMC a granel con una máquina de grabado por láser micro. Específicamente, el objetivo es 1) caracterizar cada actuador, es decir, determinar cómo afecta el corte a los parámetros del modelo físico de este tipo de actuadores, y 2) identificar un modelo para cada actuador con fines de control. Las respuestas de frecuencia se han obtenido experimentalmente en LabVIEW al conectar un par de electrodos de oro a cada unidad IPMC y medir la división de la punta por medio de un medidor de distancia láser.Ministerio de Economía y Competitividad; DPI2016-80547-
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