Robust tracking control for switched linear systems with time-delay: An average dwell time approach

Abstract

Robust tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient conditions for the solvability of robust tracking control problem are developed. Based on the theories of functional differential equations, the norm bound of the reference state of time-delay system is given. An average dwell time approach and piecewise Lyapunov functional method are utilized to design the switching control laws. By using linear matrix inequalities, the controller design problem can be solved efficiently. A simulation example shows the effectiveness of the proposed switching control laws.