State Feedback Controller Design for A Class of Linear Switched Systems with Uncontrollable Subsystems

Abstract

This paper investigates the state feedback controller design for a class of linear switched systems with uncontrollable subsystems. After stating the problem discussed in this paper and some preliminaries, we design a controller that makes the given linear switched closed-loop system states converging to zero and show its effectiveness by analyzing the system states norm. Furthermore, we interpret that the presented controller design can be turned into a LMIs (linear Matrices Inequations) feasible problem which can be solved via existing softwares. In addition, an illustrative numerical example is presented to demonstrate the utility of the proposed state feedback controller.