Disturbance-observer based sliding mode control for fuzzy singularly perturbed systems

Article type: Research Article

Authors: Zhou, Linna | Shen, Leping | Yang, Chunyu^{; *}

Affiliations: School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China

Correspondence: [*] Corresponding author. Chunyu Yang, School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, P.R. China. E-mail: chunyuyang@cumt.edu.cn.

Abstract:  This paper presents a disturbance-observer based sliding mode control (SMC) for fuzzy singularly perturbed systems (SPSs) with uncertainties and disturbances. Firstly, we designed a linear sliding surface. The sliding surface parameter matrix is determined by solving linear matrix inequalities (LMIs). The stability of the sliding mode is proved by a Lyapunov function. Secondly, a disturbance observer is designed to estimate the disturbance, and the obtained disturbance estimate is incorporated in the design of SMC. The reachability condition under the fuzzy SMC law is shown to be satisfied. Finally, simulation results show the feasibility and effectiveness of the proposed control method.

Keywords: Singularly perturbed systems (SPSs), sliding mode control (SMC), linear matrix inequality (LMI), T-S fuzzy model

DOI: 10.3233/JIFS-181995

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1055-1064, 2019