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

This paper examines robust partially mode de lay dependent H∞ output feedback controller design for discrete-time systems with random communication delays. A finite state Markov chain with partially known transition probabilities is used to model random communication delays between sensors and controller. Based on Lyapunov-Krasovskii functional, a novel methodology for designing a partially mode delay-dependent output feedback controller is proposed. Using cone complementarity linearization algorithm bilinear matrix inequalities (BMIs) are solved to obtain the controller gains. We also show that the results for completely known transition probabilities and completely unknown transition probabilities can be derived as special cases of our result. The effectiveness of the proposed design methodology is demonstrated by a numer ical example. To the best of authors' knowledge, the problem of designing an output feedback controller for a partially known transition probability has not been fully investigated.