H∞ Control with Limited Communication for Networked Control Systems

In this paper, the H∞ control problem is studied for discrete time systems with limited communication network. The communication limitation includes signal quantization, random packet loss, which appear typically in a network environment. The random packet loss is modeled as a two-state Markov chain. Both the packet-loss dependent and independent H∞ controllers are designed. The packet-loss dependent controller is applicable only to the network with accessible packet-loss information. However, the packet-loss independent controller is applicable to networks both with and without accessible packet-loss information. Finally, an example is provided to demonstrate the effectiveness and applicability of the proposed design approach.