Stabilization of discrete-time positive switched T-S fuzzy systems subject to actuator saturation-Reference-Cited by-同舟云学术

Stabilization of discrete-time positive switched T-S fuzzy systems subject to actuator saturation

Published:2023 Issue:6 Volume:8 Page:12708-12728
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Yang Gengjiao¹²,Hao Fei²,Zhang Lin²,Gao Lixin¹

Affiliation:

1. College of Mathematics and Physics, Wenzhou University, Wenzhou, Zhejiang 325035, China

2. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China

Abstract

<abstract><p>The stabilization of discrete-time positive switched Takagi-Sugeno (T-S) fuzzy systems with actuator saturation is investigated in this paper. It is assumed that the switched subsystems are partially stabilizable. Based on the convex hull technique (CHT) and parallel distribution compensation (PDC) algorithm, a saturated fuzzy controller and slow-fast combined mode-dependent average dwell time (MDADT) switching signal are co-designed and sufficient conditions for the positivity and stability of closed-loop positive switched T-S fuzzy systems (PSTSFSs) are developed, which can be reduced to the ones under the case where all switched subsystems are stabilizable. Moreover, the largest attraction domain estimation (ADE) is given for PSTSFSs by formulating an optimization problem. Finally, the designed control scheme is applied to two illustrative examples to verify its availability and superiority.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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