Observer-Based Robust Stabilizing Controllers Based on the Trajectory for Polytopic Uncertain Systems

Abstract

This paper deals with a design problem of an observer-based robust stabilizing controller for a class of polytopic uncertain systems. The proposed controller synthesis differs from the conventional quadratic stabilization based on Lyapunov criterion and is based on the computation of the system's trajectory. In this paper, we show a LMI-based design method of the observer-based robust controller. The effectiveness of the proposed controller design approach is presented through a simple numerical example.