Delay-dependent robust H-infinity control of convex polyhedral uncertain fuzzy systems

作者：Gony Cheng^*; Su Baoku

来源：Journal of Systems Engineering and Electronics, 2008, 19(6): 1191-1198.

• robust H-infinity control
• delay-dependent
• polyhedral uncertainty
• fuzzy systems

The robust H-infinity control problem for a class of uncertain Takagi-Sugeno fuzzy systems with time-varying state delays is studied. The uncertain parameters are supposed to reside in a polytope. Based on the delay-dependent Lyapunov functional method, a new delay-dependent robust H-infinity fuzzy controller, which depends on the size of the delays and the derivative of the delays, is presented in term of linear matrix inequalities (LMIs). For all admissible uncertainties and delays, the controller guarantees not; only the asymptotic stability of tile system but also the prescribed H-infinity attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.

• 出版日期2008-12
• 单位哈尔滨工业大学