We study the solution for the tracking problem of receding horizon control of discrete-time Markov jump linear systems subject to noisy inputs, switching targets and jumps in the exogenous input variables. The performance index is quadratic and the information available to the controller does not involve observations of Markov chain states. A fixed sequence of state linear feedback gains is adopted to solve the control synthesis problem. Necessary conditions of optimality is provided and we propose an recursive method based on a variational procedure which attains the necessary conditions. An application to an economic model is presented.
Stochastic control; linear systems subject to Markovian jumps; receding horizon control; control with incomplete observation; switching targets
