Trajectory-Based Design of Robust Non-Fragile Controllers for Uncertain Linear Systems

This paper deals with a design problem of robust non-fragile controllers for uncertain linear systems. The proposed design method of robust non-fragile controllers 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 uncertain system and a LMI-based design algorithm of a robust non-fragile controller is given. Finally, the effectiveness of the proposed design scheme is shown through illustrative examples