Stability analysis and stabilization of discrete-time switched Takagi-Sugeno fuzzy systems
Shengli Du1, Xiaoli Li1, Shen Sun2
1School of Artificial Intelligence and Automation, Beijing University of Technology, Beijing 100124, PR China.
Abstract:
We endeavor to investigate the H∞ synthesis problem of switched fuzzy systems composed by several discrete-time subsystems. By designing a novel QTD-MD Lyapunov function, novel criteria assuring stability as well as an expected H∞ performance are first developed. Based on these sufficient conditions, some other conditions for solving the fuzzy H∞ controllers are derived subsequently. Furthermore, the criteria are given as LMIs, thus the implementations are easy to execute. Simulations are also provided to confirm the feasibility of the presented strategy.
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