网络化不确定模糊系统的混杂状态反馈控制

Hybrid State Feedback Control of Networked Uncertain Fuzzy Systems

针对一类网络化不确定模糊系统,研究了在单包传输且没有丢包情况下的稳定控制问题。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,在每个控制器均不能镇定系统的情况下,使用控制器切换技术及多Lyapunov函数方法,给出切换律设计和使系统渐近稳定的矩阵不等式条件,并将此条件转化为求解线性矩阵不等式(LMIS)问题。最后仿真结果表明方法的有效性。

Against a class of networked uncertain fuzzy control systems, the stability control problem was investigated on single-packet and no losed packet condition. Suppose there existed finite fuzzy state feedback controllers with known controller gain matrices, but none of the controllers can make the system stabilization, controller switching technique and multiple Lyapunov function method were used. Switching laws were designed and the corresponding system was globally asymptotically stable, to which a condition was given in terms of linear matrix in inequalities（LMIS）. The simulation result expatiated that the design method was effective.