Robust adaptive tracking control of MIMO nonlinear systems in the presence of actuator hysteresis. Issue 10 (26th July 2016)

• Record Type: Journal Article
• Authors: Fu, Guiyuan; Ou, Linlin; Zhang, Weidong
• Is Part Of: International journal of systems science. Volume 47:Issue 10(2016)
• Page Start: 2359
• Page End: 2369
• Publication Date: 2016-07-26
• Subjects: nonlinear MIMO system -- Prandtl–Islinskii hysteresis -- dynamic surface control -- adaptive control; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.994051
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : Adaptive tracking control of a class of MIMO nonlinear system preceded by unknown hysteresis is investigated. Based on dynamic surface control, an adaptive robust control law is developed and compensators are designed to mitigate the influences of both the unknown bounded external uncertainties and the unknown Prandtl–Islinskii hysteresis. By adopting the low-pass filters, the explosion of complexity caused by tedious computation of the time derivatives of the virtual control laws is overcome. With the proposed control scheme, the closed-loop system is proved to be semi-globally ultimately bounded by the Lyapunov stability theory, and the output of the controlled system can track the desired trajectories with an arbitrarily small error. Finally, numerical simulations are given to verify the effectiveness of the proposed approach.