Adaptive Robust Stabilizing Controllers for a Class of Uncertain Switched Linear Systems

Abstract

This paper discusses a design problem of an adaptive robust stabilizing controller for a class of uncertain switched linear systems. The uncertainties under consideration are supposed to satisfy the matching condition, and switchings among subsystems are determined by using the nominal system. The proposed adaptive robust stabilizing controller consists of the switching rule, the state feedback law with constant gain matrix and the state feedback law with the variable gain matrix tuned by adjustable parameters. In this paper, we show that the switching rule, the feedback gain matrices and the adjustment law of the adjustable parameter