Analysis of Robust Performance of Model Error Compensator for Polytopic-type Uncertain Continuous-time Linear Time Invariant Systems

Abstract

Model based control system design has been developed in many fields based on the dynamics of the accurate plant model. The desired control performance of the transient response can not be achieved if the dynamics gap between the plant and its mathematical model is not small. We have proposed a specified compensator to minimize the gap between an actual plant and its nominal model. The proposed compensator is composed of its plant model and an error feedback component. In this paper, we propose a method to analyze error feedback compensation component based on the analysis method using LMIs. Polytopic-type uncertain continuous LTI systems are dealt with in this paper. The robust performance by the model error compensator is analyzed using H₂ and H_∞ indexes. The effectiveness of our analysis method is shown by numerical examples.