2011 Volume 24 Issue 6 Pages 144-153
In order to design tracking control systems for a class of systems with rapid or abrupt changes, it is effective in improving tracking performance to construct preview control systems considering future information of reference signals. In this paper we study the H∞ tracking problems with preview for a class of linear discrete-time Markovian jump systems by game theoretic approach. The systems are described by a class of switching systems with Markovian mode transitions. The necessary and sufficient conditions for the solvability of the H∞ tracking problems are given by coupled Riccati difference equations with terminal conditions. Correspondingly feedforward compensators introducing future information are given by coupled difference equations with terminal conditions. We consider three different tracking problems depending on the property of the reference signals. Finally we give numerical examples and verify the effectiveness of the theory presented in this paper.