H∝ control for network control systems with partially known transition probabilities

Abstract

This paper is concerned with the problem of H∞ control for network control system with time-varying delay and quantization. The time delay is bounded and measurement signal will be quantized before transmitted to controller. Moreover, the system is modeled as Markov jump linear system with partially unknown transition probabilities. Then by constructing a Lyapunov functional candidate, the sufficients condition based on LMI is developed to ensure the system is stochastically stable and with an H∞ performance level γ, and the quantized state feedback controller is designed by solving a minimization problem in terms of linear matrix inequalities. A numerical example is given to show the proposed techniques. © 2012 ISSN 2185-2766.