Suboptimal Control for Nonlinear Systems with Disturbance via Integral Sliding Mode Control and Policy Iteration

Yuqing Zheng and Guoshan Zhang ()
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Yuqing Zheng: Tianjin University
Guoshan Zhang: Tianjin University

Journal of Optimization Theory and Applications, 2020, vol. 185, issue 2, No 17, 652-677

Abstract: Abstract In this paper, we consider a suboptimal control problem for nonlinear systems with unmatched disturbance via integral sliding mode control and policy iteration. Firstly, the unmatched disturbance is estimated by a nonlinear disturbance observer. Secondly, the integral sliding mode controller based on the disturbance estimation is designed to guarantee the reachability of the sliding-mode surface. Furthermore, the policy iteration approach based on actor-critic neural networks is used to design the suboptimal controller, which can achieve the desired performance. Finally, the effectiveness of the proposed approach is demonstrated through simulation examples.

Keywords: Integral sliding mode control; Policy iteration; Unmatched disturbance; Disturbance observer; 49J15; 70H20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01652-7

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