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

The robust H
∞
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
∞
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 the system but also the prescribed H
∞
attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.