Design and Analysis of Optimization Algorithm for a Class of Uncertain Linear System

Abstract

An optimization algorithm method design and analysis is presented for class of linear uncertain systems. Firstly, it is shown that disturbances of linear uncertain systems are divided two parts by the projection matrix, one is matched and the other is unmatched part. Then the controller based on integral sliding mode and optimization performance index is constructed to ensure the robustness of the linear uncertain systems. Additionally, we give an optimization performance guaranteeing the stability of proposed procedure by using the Lyapunov theory. Simulations show the effectiveness of the method proposed that a linear system is best controlled by a linear controller.