Abstract:

The finitetime guaranteed cost control problem for a class of continuoustime uncertain nonlinear systems with norm  bounded exogenous disturbance is discussed. Firstly, the nonlinear systems are described by a set of TakagiSugeno (T-S) fuzzy models. Then, a sufficient condition of finitetime boundedness for the closedloop fuzzy systems is given by  finding an appropriate Lyapunov function. And the design approach for the solutions of the finitetime guaranteed cost  controller is transformed into a feasibility problem in terms of linear matrix inequalities (LMI). It is shown that the  designed controller not only makes the closedloop uncertain fuzzy systems finite time bounded for all admissible exogenous disturbances, but also provides an optimized guaranteed cost upper bound. Finally, simulation results  demonstrate that the design procedure is effective.