Modeling and parametric optimization of 3D tendon-sheath actuator system for upper limb soft exosuit

This paper presents an analysis of parametric characterization of a motor driven tendon-sheath actuator system for use in upper limb augmentation for applications such as rehabilitation, therapy, and industrial automation. The double tendon sheath system, which uses two sets of cables (agonist and antagonist side) guided through a sheath, is considered to produce smooth and natural-looking movements of the arm. The exoskeleton is equipped with a single motor capable of controlling both the flexion and extension motions. One of the key challenges in the implementation of a double tendon sheath system is the possibility of slack in the tendon, which can impact the overall performance of the system. To address this issue, a robust mathematical model is developed and a comprehensive parametric study is carried out to determine the most effective strategies for overcoming the problem of slack and improving the transmission. The study suggests that incorporating a series spring into the system's tendon leads to a universally applicable design, eliminating the need for individual customization. The results also show that the slack in the tendon can be effectively controlled by changing the pretension, spring constant, and size and geometry of spool mounted on the axle of motor

Direct torque control for cable conduit mechanisms for the robotic foot for footwear testing

© 2018 Elsevier Ltd As the shoe durability is affected directly by the dynamic force/pressure between the shoe and its working environments (i.e., the contact ground and the human foot), a footwear testing system should replicate correctly this interaction force profile during gait cycles. Thus, in developing a robotic foot for footwear testing, it is important to power multiple foot joints and to control their output torque to produce correct dynamic effects on footwear. The cable conduit mechanism (CCM) offers great advantages for designing this robotic foot. It not only eliminates the cumbersome actuators and significant inertial effects from the fast-moving robotic foot but also allows a large amount of energy/force to be transmitted/propagated to the compact robotic foot. However, CCMs cause nonlinearities and hysteresis effects to the system performance. Recent studies on CCMs and hysteresis systems mostly addressed the position control. This paper introduces a new approach for modelling the torque transmission and controlling the output torque of a pair of CCMs, which are used to actuate the robotic foot for footwear testing. The proximal torque is used as the input signal for the Bouc–Wen hysteresis model to portray the torque transmission profile while a new robust adaptive control scheme is developed to online estimate and compensate for the nonlinearities and hysteresis effects. Both theoretical proof of stability and experimental validation of the new torque controller have been carried out and reported in this paper. Control experiments of other closed-loop control algorithms have been also conducted to compare their performance with the new controller effectiveness. Qualitative and quantitative results show that the new control approach significantly enhances the torque tracking performance for the system preceded by CCMs

Trajectory tracking control of a hydraulic-tendon actuator with an application to the exoskeleton

This paper presents a hydraulic actuator and tendon drive system that was specifically designed for a lower-limb exoskeleton to provide high power and low inertia. The dynamics of the actuator-tendon system were analyzed based on the exoskeleton system and an adaptive sliding-mode trajectory tracking controller was designed for the drive system. The stability proof indicates that the controller is globally stable. The experimental results demonstrated that the controller provides high tracking accuracy and is robust to external disturbances and unmodeled nonlinearities. Moreover, the controller has less errors than the conventional PID controller. Further tests that included the joints of the exoskeleton were conducted to verify the performance of the controller

Elongation Modeling and Compensation for the Flexible Tendon-Sheath System

In tendon-driven systems, the elongation of the tendon would result in inaccuracy in the position control of the system. This becomes a critical challenge for those applications, such as surgical robots, which require the tendon-sheath system with flexible and even time-varying configurations but lack of corresponding sensory feedback at the distal end due to spatial restrictions. In this paper, we endeavor to address this problem by modeling the tendon elongation in a flexible tendon-sheath system. Targeting at flexibility in practical scenarios, we first derived a model describing the relationship between the overall tendon elongation and the input tension with arbitrary route configurations. It is shown that changes in the route configuration would significantly affect the tendon elongation. We also proposed a remedy to enhance the system tolerance against potential unmodeled perturbations along the transmission route during operation. A scaling factor S was introduced as a design guideline to determine the scaling effect. A dedicated platform that was able to measure the tensions at both ends and the overall tendon elongation was designed and set up to validate the new findings. Discussions were made on the performance and the future implementation of the proposed models and remedy.published_or_final_versio

Modeling of Force and Motion Transmission in Tendon-Driven Surgical Robots

Tendon-based transmission is a common approach for transferring motion and forces in surgical robots. In spite of design simplicity and compactness that comes with the tendon drives, there exists a number of issues associated with the tendon-based transmission. In particular, the elasticity of the tendons and the frictional interaction between the tendon and the routing result in substantially nonlinear behavior. Also, in surgical applications, the distal joints of the robot and instruments cannot be sensorized in most cases due to technical limitations. Therefore, direct measurement of forces and use of feedback motion/force control for compensation of uncertainties in tendon-based motion and force transmission are not possible. However, force/motion estimation and control in tendon-based robots are important in view of the need for haptic feedback in robotic surgery and growing interest in automatizing common surgical tasks. One possible solution to the above-described problem is the development of mathematical models for tendon-based force and motion transmission that can be used for estimation and control purposes. This thesis provides analysis of force and motion transmission in tendon-pulley based surgical robots and addresses various aspects of the transmission modeling problem. Due to similarities between the quasi-static hysteretic behavior of a tendon-pulley based da Vinci® instrument and that of a typical tendon-sheath mechanism, a distributed friction approach for modeling the force transmission in the instrument is developed. The approach is extended to derive a formula for the apparent stiffness of the instrument. Consequently, a method is developed that uses the formula for apparent stiffness of the instrument to determine the stiffness distribution of the tissue palpated. The force transmission hysteresis is further investigated from a phenomenological point of view. It is shown that a classic Preisach hysteresis model can accurately describe the quasi-static input-output force transmission behavior of the da Vinci® instrument. Also, in order to describe the distributed friction effect in tendon-pulley mechanisms, the creep theory from belt mechanics is adopted for the robotic applications. As a result, a novel motion transmission model is suggested for tendon-pulley mechanisms. The developed model is of pseudo-kinematic type as it relates the output displacement to both the input displacement and the input force. The model is subsequently used for position control of the tip of the instrument. Furthermore, the proposed pseudo-kinematic model is extended to compensate for the coupled-hysteresis effect in a multi-DOF motion. A dynamic transmission model is also suggested that describes system’s response to high frequency inputs. Finally, the proposed motion transmission model was used for modeling of the backlash-like hysteresis in RAVEN II surgical robot

형태적응형 이력현상 모형을 이용한 유연구동 메커니즘의 모델링

학위논문 (박사) -- 서울대학교 대학원 : 공과대학 기계항공공학부, 2020. 8. 김종원.Flexible surgical robots and instruments are slowly paving its way into the modern surgical arena. Compared to conventional laparoscopic surgical systems, flexible systems have some distinct advantages in that it can approach surgical targets that were unreachable before, leaves less scar and therefore reducing recovery time for patients. In order to drive the articulated surgical instruments joints, flexible instruments require a tendon-sheath mechanism (TSM). Utilization of TSM brings about a different attribute in a position control standpoint, compared to the rather simple cable-pulley system found in conventional robotic surgical instruments. In this research, a tendon-sheath mechanism was configured, taking into account the actual size constraint of a robotic surgical instrument and the material characteristics of the components. An experiment hardware was designed to measure the input signal and the corresponding output response while varying the shape configuration parameters of TSM. Twenty four distinct experiments with different shape configuration parameters were carried out to identify how the shape affects the performance and the hysteresis curve of the TSM. For modeling the hysteretic behavior of the TSM, a composite model consisting of elementary hysteresis operators is proposed. Such a composite models parameters are empirically identified with least-squares optimization, for every shape configurations defined. The model processes the input to produce an estimated output for a certain shape, and this was verified with various types of input signals. Lastly, for compensating TSMs hysteretic behavior, a recursive algorithm producing inverse control signal from the empirical model is proposed, with a guaranteed real-time performance. The inverse algorithms position control effectiveness was verified under various shape configurations and input signal types.본 연구에서는 유연한 로봇 수술도구를 구현하기 위해 사용되는 Tendon-Sheath Mechanism (TSM)이 형상에 따른 이력현상의 변화가 발생하는 것을 실험적으로 확인하였으며, 이러한 이력현상을 표현하기 위한 모형을 제안하고 이를 이용하여 이력현상을 보상할 수 있는 알고리즘을 제안하였다. 첫 단계로 TSM을 구성하는 부품인 Tendon과 Sheath를 선정하는데 있어, 이력현상에 일조 하는 비선형적 특성을 최소화하는 재료와 공정 및 후처리 방법을 고려하여 적용하였다. 다음으로 TSM의 형상 변수를 정의하고 이를 다양한 형상하에서 이력현상의 변화를 관찰하는 실험장치를 설계하여 실험 데이터를 수집하였다. 이를 토대로 입력에 대한 출력의 관계를 Preisach type 연산자를 이용하여 표현하였고 실험 데이터에 기반한 연산자의 변수들을 최소자승 최적화를 통해 탐색하였으며, 모델의 적합성을 다양한 형상하에서, 각기 다른 종류의 입력 신호에 대한 출력을 모델을 통해 생성되는 출력 추정치와의 오차 분석으로 검증하였다. 이러한 모델로 이력현상을 보상하기 위해서 Set-Point 출력에 대한 Inverse Control 신호를 생성하는 재귀적 알고리즘을 제안하였으며, 이러한 알고리즘이 다양한 Set-point 출력의 형태에 대해서 실시간성이 보장되는 빠른 연산이 가능하다는 점을 보였다. 이력현상이 보상된 실험데이터와 기존의 보상전 실험데이터의 비교를 통해 보상전략이 효과적이라는 것을 보였으며, 다양한 형태에서도 적용이 가능함을 검증하였다.Table of Contents Chapter 1. Introduction 1 1.1 Background 1 1.1.1 Evolution of surgical robots 1 1.1.2 Flexible robotic systems 3 1.2 Tendon-sheath mechanism 6 1.2.1 Application of TSM in flexible surgical instruments 6 1.2.2 Effects on motion transfer characteristics 8 1.3 Previous studies 10 1.4 Research objectives 12 Chapter 2. Configuration and fabrication of TSM 14 2.1 Sheath 17 2.2 Tendon 19 2.2.1 Cable 19 2.2.2 Fitting 23 Chapter 3. Hysteretic behavior of TSM 25 3.1 Experiment setup 26 3.1.1 Experiment design 26 3.1.2 Hardware design 28 3.2 Experiment results 34 3.2.1 Effect of curve angle variation 34 3.2.2 Effect of radius of curvature variation 39 3.2.3 Summary of results of hysteretic behavior 46 Chapter 4. Modeling Hysteresis of TSM 49 4.1 Preisach model and Hysterons 50 4.2 Mechanical play operator 53 4.3 Complex hysteresis operator: 56 4.4 Parameter identification for complex hysteresis operator 59 4.5 Result of experimental verification of complex hysteresis operator 60 4.5.1 Result of reference input profile sinusoidal excitation 63 4.5.2 Result of validation input profile triangular excitation 65 4.5.3 Result of reference input profile trapezoidal excitation 67 4.5.4 Obtained weights for all shape configurations and summary 69 4.6 Inverse operator formulation 60 4.7 Experimental verification of hysteresis compensation with the inverse operator: 77 4.7.1 Experiment setup 77 4.7.2 Result of hysteresis compensation for shape =90,r=30mm 79 4.7.3 Result of hysteresis compensation for shape =60,r=60mm 82 4.7.4 Error statistic and result analysis 85 Chapter 6. Conclusion 87 Bibliography 88 Abstract in Korean 92Docto

A Wearable Control Interface for Tele-operated Robots

Department of Mehcanical EngineeringThis thesis presents a wearable control interface for the intuitive control of tele-operated robots, which aim to overcome the limitations of conventional uni-directional control interfaces. The control interface is composed of a haptic control interface and a tele-operated display system. The haptic control interface can measure user???s motion while providing force feedback. Thus, the user can control a tele-operated robot arm by moving his/her arm in desired configurations while feeling the interaction forces between the robot and the environment. Immersive visual feedback is provided to the user with the tele-operated display system and a predictive display algorithm. An exoskeleton structure was designed as a candidate of the control interface structure considering the workspace and anatomy of the human arm to ensure natural movement. The translational motion of human shoulder joint and the singularity problem of exoskeleton structures were addressed by the tilted and vertically translating shoulder joint. The proposed design was analyzed using forward and inverse kinematics methods. Because the shoulder elevation affects all of the joint angles, the angles were calculated by applying an inverse kinematics method in an iterative manner. The proposed design was tested in experiments with a kinematic prototype. Two force-controllable cable-driven actuation mechanisms were developed for the actuation of haptic control interfaces. The mechanisms were designed to have lightweight and compact structures for high haptic transparency. One mechanism is an asymmetric cable-driven mechanism that can simplify the cable routing structure by replacing a tendon to a linear spring, which act as an antagonistic force source to the other tendon. High performance force control was achieved by a rotary series elastic mechanism and a robust controller, which combine a proportional and differential (PD) controller optimized by a linear quadratic (LQ) method with a disturbance observer (DOB) and a zero phase error tracking (ZPET) feedforward filter. The other actuation mechanism is a series elastic tendon-sheath actuation mechanism. Unlike previously developed tendon-sheath actuation systems, the proposed mechanism can deliver desired force even in multi-DOF systems by modeling and feedforwardly compensating the friction. The pretension change, which can be a significant threat in the safety of tendon-sheath actuation systems, is reduced by adopting series elastic elements on the motor side. Prototypes of the haptic control interfaces were developed with the proposed actuation mechanisms, and tested in the interaction with a virtual environment or a tele-operation experiment. Also, a visual feedback system is developed adopting a head mounted display (HMD) to the control interface. Inspired by a kinematic model of a human head-neck complex, a robot neck-camera system was built to capture the field of view in a desired orientation. To reduce the sickness caused by the time-varying bidirectional communication delay and operation delay of the robot neck, a predictive display algorithm was developed based on the kinematic model of the human and robot neck-camera system, and the geometrical model of a camera. The performance of the developed system was tested by experiments with intentional delays.clos

Position Control of Motion Compensation Cardiac Catheters

Robotic catheters have the potential to revolutionize cardiac surgery by enabling minimally invasive structural repairs within the beating heart. This paper presents an actuated catheter system that compensates for the fast motion of cardiac tissue using 3-D ultrasound image guidance. We describe the design and operation of the mechanical drive system and catheter module and analyze the catheter performance limitations of friction and backlash in detail. To mitigate these limitations, we propose and evaluate mechanical and control-system compensation methods, which include inverse and model-based backlash compensation, to improve the system performance. Finally, in vivo results are presented, which demonstrate that the catheter can track the cardiac tissue motion with less than 1-mm rms error. The ultimate goal of this research is to create a fast and dexterous robotic catheter system that can perform surgery on the delicate structures inside of the beating heart.Engineering and Applied Science

Design of a shape memory alloy actuator for soft wearable robots

Soft robotics represents a paradigm shift in the design of conventional robots; while the latter are designed as monolithic structures, made of rigid materials and normally composed of several stiff joints, the design of soft robots is based on the use of deformable materials such as polymers, fluids or gels, resulting in a biomimetic design that replicates the behavior of organic tissues. The introduction of this design philosophy into the field of wearable robots has transformed them from rigid and cumbersome devices into something we could call exo-suits or exo-musculatures: motorized, lightweight and comfortable clothing-like devices. If one thinks of the ideal soft wearable robot (exoskeleton) as a piece of clothing in which the actuation system is fully integrated into its fabrics, we consider that that existing technologies currently used in the design of these devices do not fully satisfy this premise. Ultimately, these actuation systems are based on conventional technologies such as DC motors or pneumatic actuators, which due to their volume and weight, prevent a seamless integration into the structure of the soft exoskeleton. The aim of this thesis is, therefore, to design of an actuator that represents an alternative to the technologies currently used in the field of soft wearable robotics, after having determined the need for an actuator for soft exoskeletons that is compact, flexible and lightweight, while also being able to produce the force required to move the limbs of a human user. Since conventional actuation technologies do not allow the design of an actuator with the required characteristics, the proposed actuator design has been based on so-called emerging actuation technologies, more specifically, on shape memory alloys (SMA). The mechanical design of the actuator is based on the Bowden transmission system. The SMA wire used as the transducer of the actuator has been routed into a flexible sheath, which, in addition to being easily adaptable to the user's body, increases the actuation bandwidth by reducing the cooling time of the SMA element by 30 %. At its nominal operating regime, the actuator provides an output displacement of 24 mm and generates a force of 64 N. Along with the actuator, a thermomechanical model of its SMA transducer has been developed to simulate its complex behavior. The developed model is a useful tool in the design process of future SMA-based applications, accelerating development ix time and reducing costs. The model shows very few discrepancies with respect to the behavior of a real wire. In addition, the model simulates characteristic phenomena of these alloys such as thermal hysteresis, including internal hysteresis loops and returnpoint memory, the dependence between transformation temperatures and applied force, or the effects of latent heat of transformation on the wire heating and cooling processes. To control the actuator, the use of a non-linear control technique called four-term bilinear proportional-integral-derivative controller (BPID) is proposed. The BPID controller compensates the non-linear behavior of the actuator caused by the thermal hysteresis of the SMA. Compared to the operation of two other implemented controllers, the BPID controller offers a very stable and robust performance, minimizing steady-state errors and without the appearance of limit cycles or other effects associated with the control of these alloys. To demonstrate that the proposed actuator together with the BPID controller are a valid solution for implementing the actuation system of a soft exoskeleton, both developments have been integrated into a real soft hand exoskeleton, designed to provide force assistance to astronauts. In this case, in addition to using the BPID controller to control the position of the actuators, it has been applied to the control of the assistive force provided by the exoskeleton. Through a simple mechanical multiplication mechanism, the actuator generates a linear displacement of 54 mm and a force of 31 N, thus fulfilling the design requirements imposed by the application of the exoskeleton. Regarding the control of the device, the BPID controller is a valid control technique to control both the position and the force of a soft exoskeleton using an actuation system based on the actuator proposed in this thesis.La robótica flexible (soft robotics) ha supuesto un cambio de paradigma en el diseño de robots convencionales; mientras que estos consisten en estructuras monolíticas, hechas de materiales duros y normalmente compuestas de varias articulaciones rígidas, el diseño de los robots flexibles se basa en el uso de materiales deformables como polímeros, fluidos o geles, resultando en un diseño biomimético que replica el comportamiento de los tejidos orgánicos. La introducción de esta filosofía de diseño en el campo de los robots vestibles (wearable robots) ha hecho que estos pasen de ser dispositivos rígidos y pesados a ser algo que podríamos llamar exo-trajes o exo-musculaturas: prendas de vestir motorizadas, ligeras y cómodas. Si se piensa en el robot vestible (exoesqueleto) flexible ideal como una prenda de vestir en la que el sistema de actuación está totalmente integrado en sus tejidos, consideramos que las tecnologías existentes que se utilizan actualmente en el diseño de estos dispositivos no satisfacen plenamente esta premisa. En última instancia, estos sistemas de actuaci on se basan en tecnologías convencionales como los motores de corriente continua o los actuadores neumáticos, que debido a su volumen y peso, hacen imposible una integraci on completa en la estructura del exoesqueleto flexible. El objetivo de esta tesis es, por tanto, el diseño de un actuador que suponga una alternativa a las tecnologias actualmente utilizadas en el campo de los exoesqueletos flexibles, tras haber determinado la necesidad de un actuador para estos dispositivos que sea compacto, flexible y ligero, y que al mismo tiempo sea capaz de producir la fuerza necesaria para mover las extremidades de un usuario humano. Dado que las tecnologías de actuación convencionales no permiten diseñar un actuador de las características necesarias, se ha optado por basar el diseño del actuador propuesto en las llamadas tecnologías de actuación emergentes, en concreto, en las aleaciones con memoria de forma (SMA). El diseño mecánico del actuador está basado en el sistema de transmisión Bowden. El hilo de SMA usado como transductor del actuador se ha introducido en una funda flexible que, además de adaptarse facilmente al cuerpo del usuario, aumenta el ancho de banda de actuación al reducir un 30 % el tiempo de enfriamiento del elemento SMA. En su régimen nominal de operaci on, el actuador proporciona un desplazamiento de salida de 24 mm y genera una fuerza de 64 N. Además del actuador, se ha desarrollado un modelo termomecánico de su transductor SMA que permite simular su complejo comportamiento. El modelo desarrollado es una herramienta útil en el proceso de diseño de futuras aplicaciones basadas en SMA, acelerando el tiempo de desarrollo y reduciendo costes. El modelo muestra muy pocas discrepancias con respecto al comportamiento de un hilo real. Además, es capaz de simular fenómenos característicos de estas aleaciones como la histéresis térmica, incluyendo los bucles internos de histéresis y la memoria de puntos de retorno (return-point memory), la dependencia entre las temperaturas de transformacion y la fuerza aplicada, o los efectos del calor latente de transformación en el calentamiento y el enfriamiento del hilo. Para controlar el actuador, se propone el uso de una t ecnica de control no lineal llamada controlador proporcional-integral-derivativo bilineal de cuatro términos (BPID). El controlador BPID compensa el comportamiento no lineal del actuador causado por la histéresis térmica del SMA. Comparado con el funcionamiento de otros dos controladores implementados, el controlador BPID ofrece un rendimiento muy estable y robusto, minimizando el error de estado estacionario y sin la aparición de ciclos límite u otros efectos asociados al control de estas aleaciones. Para demostrar que el actuador propuesto junto con el controlador BPID son una soluci on válida para implementar el sistema de actuación de un exoesqueleto flexible, se han integrado ambos desarrollos en un exoesqueleto flexible de mano real, diseñado para proporcionar asistencia de fuerza a astronautas. En este caso, además de utilizar el controlador BPID para controlar la posición de los actuadores, se ha aplicado al control de la fuerza proporcionada por el exoesqueleto. Mediante un simple mecanismo de multiplicación mecánica, el actuador genera un desplazamiento lineal de 54 mm y una fuerza de 31 N, cumpliendo así con los requisitos de diseño impuestos por la aplicación del exoesqueleto. Respecto al control del dispositivo, el controlador BPID es una técnica de control válida para controlar tanto la posición como la fuerza de un exoesqueleto flexible que use un sistema de actuación basado en el actuador propuesto en esta tesis.Programa de Doctorado en Ingeniería Eléctrica, Electrónica y Automática por la Universidad Carlos III de MadridPresidente: Fabio Bonsignorio.- Secretario: Concepción Alicia Monje Micharet.- Vocal: Elena García Armad