Robust Stabilization for a Class of Uncertain Switched Linear Systems via Variable Gain Controllers

摘要

This paper discusses a design problem of robust stabilization for a class of uncertain switched linear systems via variable gain controllers. The uncertainties under consideration are assumed to satisfy the matching condition, and switching among subsystems is determined by using the nominal system. The proposed robust stabilizing controller consists of a switching rule, a state feedback law with a constant gain matrix, and a state feedback law with a variable gain matrix tuned by adjustable parameters. In this paper, we present a method for the design of the switching rule, the feedback gain matrices, and the adjustment law of the adjustable parameter. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed robust stabilizing controller.