A fuzzy Lyapunov function approach for stabilization and H-infinity control of switched TS fuzzy systems

作者：Faria Flavio A; Valentino Michele C; Oliveira Vilma A^*

来源：Applied Mathematical Modelling, 2014, 38(19-20): 4817-4834.

DOI：10.1016/j.apm.2014.03.034

• Switched TS fuzzy system
• Fuzzy Lyapunov functions
• Linear matrix inequalities
• State feedback design
• H-infinity control

In this work, sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs). Stabilizing switching conditions with bounds on the decay rate solution and H-infinity performance are also obtained. Numerical examples illustrate the effectiveness of the proposed design methods.

• 出版日期2014-10-1