Abstract
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 continuous-time Markovian jump systems by the game theoretic approach. The systems are described by the continuous-time switching systems with Markovian mode transition. The necessary and sufficient conditions for the solvability of the H∞ tracking problem by state feedback are given by coupled Riccati differential equations with terminal conditions. Correspondingly feedforward compensators introducing future information are given by coupled differential 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 design theory presented in this paper.
