SMC for semi-Markov jump T-S fuzzy systems with time delay

Meng Gao, Lihua Zhang, Wenhai Qi, Jinde Cao, Jun Cheng, Yonggui Kao, Yunliang Wei and Xiaoyu Yan

Applied Mathematics and Computation, 2020, vol. 374, issue C

Abstract: This paper investigates the issue of robust stabilization for delayed semi-Markov jump T-S fuzzy systems via sliding mode control (SMC). In order to reduce some conservativeness, an integral sliding mode surface (ISMS) is designed without assumption that the input matrices are plat-rule independent with full column rank, which is one of the critical factors for system performance. Based on Lyapunov functional theory, sufficient condition is provided for stochastic stability of the closed-loop system, and then extended to the case where the input matrices are independent of plant-rule. In addition, a fuzzy SMC controller is established to guarantee the finite time reachability of the predetermined fuzzy manifold. Finally, the superiorities of the proposed method are validated by a single-link robot arm model.

Keywords: Sliding mode surface; Lyapunov functional; T-S fuzzy systems; Sliding mode control (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300319309932

DOI: 10.1016/j.amc.2019.125001

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