On stabilization and tracking for switching linear systems

Abstract

This paper describes recent progress in the study of switching linear systems, i.e. linear systems that can be modeled as a family of subsystems connected by switching between a number of discrete modes. We address the problem of stabilization and tracking for switching linear systems in case where the plant switching sequence is unknown. The proposed scheme consists of switching between pre-designed candidate controllers in accordance with a real-time estimation of the current process mode. It is shown show that, under suitable conditions, global exponential stability can be ensured for any slow-on-the-average plant switching sequence.