Finite-time guaranteed cost control for uncertain lipschitz nonlinear system with time-delay

The delay-dependent robust finite-time guaranteed cost controller design problem for a class of Lipschitz nonlinear systems with uncertainties and time-delay is studied. The external disturbance is assumed to be energy bounded and the nonlinearities are consider to satisfy the Lipschitz condition. A sufficient condition of finite-time boundedness and satisfied an optimized guaranteed cost upper bound for the closed-loop system is given by finding an appropriate Lyapunov function. And the control criterion is formulated in the form of linear matrix inequalities (LMIs). Finally, simulation results illustrate that the design procedure is effective.