Sliding mode observer based controller of uncertain systems: An LMI based approach

This paper presents a sliding mode observer based controller for a class of uncertain systems. Exponential stabilizability for the uncertain systems is considered and the rate of convergence is estimated. The proposed observer based controller is designed using linear matrix inequality (LMI) approach. The observer and controller gains are obtained from the feasible solution of LMI. A numerical example is given to illustrate the performance of observer based controller with simulation results.