Observer based tracking control for switched linear systems with time-delay

Abstract

Observer based tracking control for switched linear systems with time-delay is investigated in this paper. Sufficient condition for the solvability of the tracking control problem is given for the case that the state of system is not available. The design of a switching control law based on measured output instead of the state information is considered. Lyapunov-Krasovskii functional method is utilized to the stability analysis and controller design for the switched linear time-delay systems. The Variation-of-constants formula and linear operator theory are used to conquer the difficulties caused by the estimation error and exotic disturbance. By using linear matrix inequalities techniques, the controller design problem can be solved efficiently. The numerical example shows the effectiveness of the switching control laws.