Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 30, Issue 8, Pages 2993-3008Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2021.3099036
Keywords
Interconnected systems; Fuzzy systems; Asymptotic stability; Numerical stability; Sliding mode control; Stability criteria; Lyapunov methods; Decentralized sliding-mode control; input-to-state stability (ISS); ISS small-gain theorem; polynomial fuzzy interconnected systems
Funding
- National Natural Science Foundation of China [U1911401, 61633007, 61673099]
Ask authors/readers for more resources
This article presents the input-to-state stability and decentralized sliding-mode control of polynomial fuzzy interconnected systems. The contribution of this article is threefold: providing sufficient conditions for the boundedness of the fuzzy interconnected system, extending the ISS small-gain theorem to the polynomial fuzzy interconnected system, and designing a sliding surface based on state feedback to analyze the stability of sliding-mode motion. The effectiveness and superiority of the proposed method are demonstrated through numerical examples and comparison with existing results.
This article presents the input-to-state stability (ISS) and decentralized sliding-mode control of polynomial fuzzy interconnected systems by using the small-gain theorem. The contribution of this article is threefold. First, based on the boundedness of the solution of fuzzy interconnected subsystems, the sufficient conditions for the boundedness fuzzy interconnected system are provided. Second, the ISS small-gain theorem is extended to the polynomial fuzzy interconnected system for the number of membership functions being the same and different, and the trajectory-based ISS small-gain theorem is proposed. Third, the sliding surface based on state feedback is designed, and the stability of sliding-mode motion is analyzed for the fuzzy interconnected system. Finally, the effectiveness and superiority of the proposed method are illustrated by using a numerical example, a spring-connected double inverted pendulum system, and comparison with the existing results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available