Stochastic Optimal Tracking with Preview for Linear Discrete-Time Markovian Jump Systems

Abstract

In this paper we study the stochastic optimal tracking problems with preview for a class of linear discrete-time Markovian jump systems. The systems are described by the discrete-time switching systems with Markovian mode transitions. The necessary and sufficient conditions for the solvability of our optimal 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.