Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Design and Stability Analysis of a Robust-Adaptive Sliding Mode Control Applied on a Robot Arm with Flexible Links

Version 1 : Received: 12 August 2021 / Approved: 13 August 2021 / Online: 13 August 2021 (08:55:23 CEST)
Version 2 : Received: 14 September 2021 / Approved: 15 September 2021 / Online: 15 September 2021 (10:22:41 CEST)

How to cite: Uyulan, Ç.; İpek, B. Design and Stability Analysis of a Robust-Adaptive Sliding Mode Control Applied on a Robot Arm with Flexible Links. Preprints 2021, 2021080294 (doi: 10.20944/preprints202108.0294.v1). Uyulan, Ç.; İpek, B. Design and Stability Analysis of a Robust-Adaptive Sliding Mode Control Applied on a Robot Arm with Flexible Links. Preprints 2021, 2021080294 (doi: 10.20944/preprints202108.0294.v1).

Abstract

Modelling errors, robust stabilization/tracking problems under parameter and model uncertainties complicate the control of the flexible underactuated systems. Chattering-free sliding-mode based input-output control law realizes robustness against the structured and unstructured uncertainties in the system dynamics and avoids excitation of unmodeled dynamics. The main purpose is to propose a robust adaptive solution for stabilizing and tracking direct-drive (DD) flexible robot arms under parameter and model uncertainties, as well as external disturbances. A lightweight robot arm subject to external and internal dynamic effects was taken into consideration. The challenges are compensating actuator dynamics with the inverter switching effects and torque ripples, stabilizing the zero dynamics under parameter/model uncertainties and disturbances while precisely track the predefined reference position. The precise control of this kind of system demands an accurate system model and knowledge of all sources that excite unmodeled dynamics. For this purpose, equations of motion for a flexible robot arm were derived and formulated for the large motion via Lagrange’s method. The goals were determined to achieve high-speed, precise position control, and satisfied accuracy by compensating the unwanted torque ripple and friction that degrades performance through an adaptive robust control approach. The actuator dynamics and their effect on the torque output were investigated due to the transmitted torque to the load side. The high-performance goals, precision&robustness issues, and stability concerns were satisfied by using robust-adaptive input-output linearization-based control law combining chattering-free sliding mode control (SMC) while avoiding the excitation of unmodeled dynamics.

Keywords

flexible robot arm; robust-adaptive control, sliding mode variable structure control; actuator dynamics; zero dynamics

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