Robust Optimal Sliding‐Mode Tracking Control for a Class of Uncertain Nonlinear MIMO Systems

Haiping Pang and Xiuqin Yang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: This paper addresses the problem of tracking a reference trajectory asymptotically given by a linear time‐varying exosystem for a class of uncertain nonlinear MIMO systems based on the robust optimal sliding‐mode control. The nonlinear MIMO system is transformed into a linear one by the input‐output linearization technique, and at the same time the input‐output decoupling is realized. Thus, the tracking error equation is established in a linear form, and the original nonlinear tracking problem is transformed into an optimal linear quadratic regulator (LQR) tracking problem. A LQR tracking controller (LQRTC) is designed for the corresponding nominal system, and the integral sliding‐mode strategy is used to robustify the LQRTC. As a result, the original system exhibits global robustness to the uncertainties, and the tracking dynamics is the same as that of LQRTC for the nominal system. So a robust optimal sliding‐mode tracking controller (ROSMTC) is realized. The proposed controller is applied to a two‐link robot system, and simulation results show its effectiveness and superiority.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:863168

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