Optimal Control for Remote and Local Controllers with Markovian Packet Loss

Abstract

This paper mainly discusses the optimal control for networked control systems (NCSs) with an unreliable communication channel. We consider that the state information is sent over a Packet loss channel where the packet losses may be randomly occurred according to a Markov chain. Using Pontryagin’s maximum principle, the conditions for the finite horizon optimal control problem is obtained according to a set of Riccati equations. In addition, the explicit solution to the optimal controllers and the associated performance index are given.