Stability analysis of quantized feedback networked control systems

We consider the stability analysis of quantized feedback networked control systems(QFNCSs) with quantizer ranges and errors consideration. The QFNCSs may also be instability in the presence of quantizer ranges and errors. To tackle this difficulty, on the basis of linear matrix inequality (LMI) technique, a sufficient and necessary condition for the stability of QFNCSs is presented. Using some changes of variables and Schur complements, the obtained results can be rewritten as an LMI form in terms of transformed variables, and then we extend to the design of robust H_¿ state feedback controller which is proposed such that the quantized closed-loop system is asymptotically stable. Through simulations and numerical comparisons that verify that the result developed in this paper is effective.