Quantized state-feedback H-infinity control of networked control systems with Markov dropouts

The quantized H_∞ control problem for discrete-time LTI systems with dynamic quantizer and Markov dropouts is considered in this paper. The quantizer considered here is dynamic and composed of a dynamic scaling and a static quantizer. A model for NCSs with the bounded packet dropouts of Markov process is employed to solve the problem. And by augmenting the states of the systems, the NCS is transmitted into a Markov system directly. Based on a model-dependent Lyapunov function, LMI-based sufficient conditions is proposed to design the controller and further to guarantee the closed-loop system stochastic stability with a prescribed H_∞ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed control method.