1. Stability and admissibility analysis of T–S descriptive systems and its applications.
- Author
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Aslam, Muhammad Shamrooz, Zhenhua, Ma, Ullah, Rizwan, Li, Yina, Sheng, Andong, and Majid, Abdul
- Subjects
- *
FUZZY systems , *MEMBERSHIP functions (Fuzzy logic) , *MATRIX inequalities , *LINEAR matrix inequalities - Abstract
The aim of this paper is to admit and stabilize T–S descriptive with time delays. We present some general conditions for the uniqueness and existence in terms of the impulse-free solution for delayed T–S fuzzy systems. Thus, we establish and obtain in terms of strict linear matrix inequalities new sufficient conditions for the stability of T–S fuzzy systems and delayed T–S fuzzy systems by constructing the Lyapunov–Krasovskii functional and applying the generalized Itô formula. Furthermore, a novel algorithm for real-time adjustment of controller membership functions is designed based on a gradient descent strategy to obtain superior H ∞ performance. By using non-PDC fuzzy control mechanism instead of conventional non-PDC control scheme, the performance of interference reduction can be effectively improved. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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