Artículos de revistas
Lmi Relaxations For H∞ And H2 Static Output Feedback Of Takagi-sugeno Continuous-time Fuzzy Systems
Registro en:
Journal Of Control, Automation And Electrical Systems. , v. 24, n. 1/Fev, p. 33 - 45, 2013.
21953880
10.1007/s40313-013-0009-2
2-s2.0-84879671206
Autor
Tognetti E.S.
Oliveira R.C.L.F.
Peres P.L.D.
Institución
Resumen
This paper presents new results concerning the problem of static output feedback H∞ and H2 control design for continuous-time Takagi-Sugeno (T-S) fuzzy systems. A fuzzy line integral Lyapunov function with arbitrary polynomial dependence on the premise variables is used to certify closed-loop stability with a bound to the H∞ and H2 norms, allowing the membership functions to vary arbitrarily (i.e.; no bounds on the time-derivative of the membership functions are assumed). The static output feedback fuzzy controller is obtained through a two-step procedure: first, a fuzzy state feedback control gain is determined by means of linear matrix inequalities (LMIs). Then, the state feedback gain matrices are used in the LMI conditions of the second step that, if satisfied, provide the fuzzy static output feedback control law. The proposed approach also allows the output feedback gains to have independent and arbitrary polynomial dependence on some specific premise variables, selected by the designer, with great advantages for practical applications. 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