Guaranteed-cost Control via Static Output Feedback for A Class of Nonlinear Uncertain Systems with Time-delay

The problem of guaranteed-cost stabilization via static output feedback is studied. The guaranteed-cost stabilization controller is designed by using the static output feedback control strategy, Lyapunov stability theory, and SOS technique. It not only makes the closed-loop systems asymptotically stable for all possible uncertainties, but also satisfies certain quadratic performance index. The optimal guaranteed-cost stabilization controller via static output feedback and the minimum upper-bound of the quadratic performance index are obtained by solving the corresponding optimization problems. Finally, the simulations show the correctness and validity of the results.