Robust partially mode delay dependent ℌ∞ control of discrete-time networked control systems

The paper examines stability analysis and robust partially mode delay dependent H_∞ controller design for discrete-time systems with random communication delays. A finite state Markov process is used to model communication delays between sensors and controllers, and the transition probabilities are not assumed to be completely known, that is, it can be partly known. Based on Lyapunov-Krasovskii functional, a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The partially mode delay dependent controller is obtained by solving linear matrix inequality optimization problems using the cone complementarity linearization algorithm. We shown that the existing results for networked control systems with random communication delays modeled by completely known or completely unknown transition probabilities can be viewed as a special case of the proposal results. The effectiveness of the proposed design methodology is verified by a numerical example.