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Adaptive vector sliding mode fault-tolerant control of the uncertain Stewart platform based on position measurements only

Published online by Cambridge University Press:  02 September 2014

Qiang Meng ,
Tao Zhang ,
Jing-feng He  and
Jing-yan Song
Qiang Meng
Affiliation:
Department of Automation, School of Information and Technology, Tsinghua University, Beijing 100084, P. R. China Division of Control Science and Engineering, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, P. R. China National Computer Network Emergency Response Technical Team/Coordination Center of China (CNCERT/CC), Beijing 100029, P. R. China
Tao Zhang
Affiliation:
Department of Automation, School of Information and Technology, Tsinghua University, Beijing 100084, P. R. China Division of Control Science and Engineering, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, P. R. China
Jing-feng He*
Affiliation:
School of Mechatronic Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China
Jing-yan Song
Affiliation:
Department of Automation, School of Information and Technology, Tsinghua University, Beijing 100084, P. R. China Division of Control Science and Engineering, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, P. R. China
*
*Corresponding author. E-mail: hjfeng@hit.edu.cn
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Summary

This paper investigates the trajectory tracking of a Stewart platform, which is a typical multi-input multi-output nonlinear system, with unmodeled dynamics, parameter uncertainties, friction, and unpredictable actuator faults. An adaptive vector sliding mode fault-tolerant control law is derived to ensure the system is insensitive to uncertainties and drive the state variable errors of the closed-loop system to converge to the origin. Moreover, novel adaptive laws are proposed to update the upper boundary of uncertainty according to the actual system state, which greatly reduces the chattering of sliding mode control. Furthermore, velocity signals are estimated by introducing a simple nonlinear observer, resulting in the proposed controller requiring position measurements only. Finally, numerical simulations illustrate the effectiveness of the proposed control scheme.

Keywords

Adaptive vector sliding mode controlFault-tolerant controlStewart platformUncertaintiesVelocity estimation
Type
Articles
Information
Robotica , Volume 34 , Issue 6 , June 2016 , pp. 1297 - 1321
Copyright
Copyright © Cambridge University Press 2014 

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