H∞ controller design of networked control systems with a new quantization structure

This paper is concerned with the problem of H∞ static output-feedback control for networked control systems (NCSs) with quantization and Markov packet dropouts. A new quantization structure is proposed, and a mathematical treatment of this structure is given to illustrate the advantage for the quantization effects. Moreover, two Markov chains are adopted to describe the packet dropouts, not all the elements of the transition probability matrices are assumed to be known. Then, the closed-loop systems are modeled as the Markov jump linear systems (MJLSs) with partly unknown transition probabilities. An H∞ static output-feedback controller design method is given to ensure the stability of the corresponding closed-loop systems with proposed quantization structure and satisfy the H∞ performance for the external bounded disturbance in terms of linear matrix inequalities (LMIs). A simulation example is utilized to demonstrate the effectiveness and the applicability of developed approach.