Stabilisation of networked control systems with remote and local controllers subject to delay and packet dropout

Abstract

This study considers the stabilisation problem for networked control systems (NCSs) with remote and local controllers involving delay and packet dropout. In this NCSs model, the local controller receives the precise state and sends it to the remote controller via an unreliable communication channel where packet dropout may occur. When the remote controller obtains the observation, it delivers an acknowledgement to the local controller whether the precise state is received or not. Then the two controllers make their decisions simultaneously, which shall be sent to the plant through a delayed communication channel. The authors give the necessary and sufficient condition of the stabilisation in the mean-square sense for the system without the additive noise based on two coupled algebraic Riccati equations. For the system with the additive noise, firstly, they show the stability of the optimal estimator. Then the sufficient condition of the boundedness in the mean-square sense is presented. Numerical examples are illustrated to show the effectiveness of the proposed algorithm.