SYNTHESIS OF VARIABLE GAIN CONTROLLERS FOR A CLASS OF UNCERTAIN SWITCHED LINEAR SYSTEMS

摘要

This paper discusses a design problem of a variable gain controller for a class of uncertain switched linear systems. The uncertainties under consideration are supposed to satisfy the matching condition. The proposed variable gain controller consists of the switching rule, the state feedback law with fixed gain matrices and the state feedback law with a variable gain matrix, and can reduce the chattering phenomenon comparing with existing results. In this paper, we show a design method of the switching rule, the feedback gain matrices and the variable gain matrix. Finally, illustrative examples are included.