Research on quantized feedback control for networked control system with Markov characteristics

The quantized feedback controller is investigated for networked control systems with network delay, quantization and data packet loss. Firstly, the packet dropout, network delay and quantization are considered simultaneously, the random variation of packet dropout is illustrated by Markov chain. Then the network system is described by Markov jump system, the influence of the quantization error can be transformed into the uncertainty under the sector boundary and the network delay is not constant but time varying that has upper and lower bound. Based on this model, a Lyapunov-Krasovskii functional is constructed and the sufficient conditions for system stochastic stability are obtained by linear matrix inequalities and this method has H_∞ a performance level γ. Finally, simulation results are given to illustrate the effectiveness of the proposed method.