基于LMI方法的网络闭环控制系统离散鲁棒模糊控制

Discrete Robust Fuzzy Control for The Network Closed Loop Control system based on the LMI

针对网络闭环控制系统中时延和不同步等不确定因素,将时延的不确定性转换为系统状态方程系数矩阵的不确定性,提出了一种新的网络闭环控制系统建模方法———具有时滞的不确定离散模糊T-S模型;并在此模型的基础上,利用并行分布补偿原理和Lyapunov理论及LMI方法,证明了通过状态的静态反馈模糊控制,使闭环系统稳定的充分条件等价于求解一组LMI。仿真示例验证了该控制方法的有效性.

A new modeling method of networks closed loop control system is proposed based on the uncertain time delay and the asynchronism. This method is uncertainty discrete fuzzy T-S model with time delay. The uncertainty of time delay is converted to the uncertainty of the parameter matrix; The parallel distributing compensation theory, Lyapunov and LMI method are applied on the base of this model. The sufficient condition of the robust fuzzy stabilization of closed loop system is equivalent to solving a group of LMIS by the static state feedback.The simulation results show the effectiveness of the proposed method.