基于控制器切换的模糊不确定网络化系统的稳定性

Stability of Fuzzy Uncertain Networked Systems Based on Controller Switching

基于T-S模糊模型建立模糊网络化控制系统模型,研究了一类存在不确定参数的网络时滞系统在单包传输且没有丢包情况下的稳定性。为了增强其诱导时延的动态性能,假设存在有限个备选的控制增益己知的模糊状态反馈控制器,在每个备选的控制器均不能镇定系统的情况下,使用控制器切换技术及Lyapunov函数方法,设计切换律,得到了系统渐进稳定的一个充分条件,并且此条件可转化为求解线性矩阵不等式(LM IS)问题。最后仿真结果表明所设计策略的可行性和有效性。

Established fuzzy networked control system model based on T-S fuzzy model. The stability of a class of net worked time lag system which has uncertain parameter on single-packet transmission and no lost packet condition was investigated. In order to improve the dynamic performance of the networked control system due to time-delay, suppose there exist finite candidate state feedback controllers with known controller gain matrices and none of the controllers can make the system stabilization, switching laws were designed via using controller switching technique and Lyapunov function method such that the corresponding system is globally asymptotically stable, to which a sufficient condition was given in terms of linear matrix in inequalities （ LMIS ）. The simulation result shows that the design method is feasible and effective.