Trajectory-based design of robust stabilizing controllers for polytopic uncertain systems

This paper deals with a design problem of robust controllers for polytopic uncertain systems. The proposed design method is based on computation of the trajectory for the uncertain system and differs from the existing methods based on quadratic stabilization via Lyapunov criterion. In this paper, we show that sufficient conditions for asymptotical stability of the polytopic uncertain system and a LMI-based design algorithm of a robust stabilizing controller. Finally, the effectiveness of the proposed design scheme is shown through illustrative examples.