Non-fragile observer-based controls of linear system via LMI approach

This paper investigates the non-fragile observer-based controls for continuous systems. Exponential stabilization for the systems is studied and the convergence rate is given. Two types of uncertainties which perturb the gains of control and observer are considered. Linear matrix inequality (LMI) approach is used to design the non-fragile observer-based control. The control and observer gains are given from LMI feasible solution. A numerical example is given to illustrate our method.