H∞ control for networked control systems with limited information

In this paper, H∞ control problems are investigated for a class of networked control systems. An improved networked control system model is proposed and the effects of random packet dropout, delay and sensor fault are considered simultaneously. The packet dropout process is modeled as a Markov chain, and the delays are bounded and occurred in a random way in this paper. The fault for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution. The resulting closed-loop system is transformed to a Markovian switching system. Sufficient conditions for stochastic stability of the closed-loop system are given in terms of linear matrix inequality. A mode-independent controller is designed such that the closed-loop system is stochastically stable and achieves the given H∞ disturbance attenuation level. Finally, the simulation of the inverted pendulum control is given to illustrate the effectiveness of the proposed method.