H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach

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