Abstract

The stability of networked control systems is researched in this paper. In this typical distributed closed-loop control system connected with network, quantization errors and packet dropouts frequently occur that the previous model of networked control system tend to ignore. In order to describe the behavior of the control system exactly, the nonlinear quantizer is introduced and Markov jump system model is established to describe the packet dropout. Subsequently, based on the established model, H ∞ state feedback controller is designed to ensure the stability of system and the Linear Matrix Inequality (LMI) is used to solve the controller. The simulation results show that state feedback controller can ensure the stability of whole system with packet dropout and quantization error.

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