Non-fragile observer-based H∞ finite-time sliding mode control

Lihua Zhang, Yaoyao Zhou, Wenhai Qi, Jinde Cao, Jun Cheng, Yunliang Wei, Xiaoyu Yan and Shaowu Li

Applied Mathematics and Computation, 2020, vol. 375, issue C

Abstract: H∞ finite-time control for uncertain system with the unmeasurable state via the sliding mode control (SMC) approach is discussed in this article. Our attention is to design an appropriate finite-time SMC law to attenuate the influences of parametrical uncertainty and external disturbance. First, an appropriate non-fragile observer-based finite-time SMC law is designed such that the state trajectories can arrive at the specified sliding surface during the finite-time interval. Then, finite-time boundedness (FTBs) is well implemented by partitioning strategy and sufficient conditions are given to realize FTBs for the augment system with H∞ performance. Next, the controller gain and observer gain are obtained by solving the corresponding linear matrix inequalities (LMIs). Finally, a RLC series circuit shows the effectiveness of the proposed SMC approach.

Keywords: Sliding mode control; Finite-time boundedness; Uncertain system (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:375:y:2020:i:c:s0096300320300382

DOI: 10.1016/j.amc.2020.125069

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