一类网络切换模糊系统的鲁棒H_∞控制

Robust H_∞ Control for a Class of Network Switched Fuzzy Systems

基于切换技术和T-S模糊模型,研究了一类网络切换模糊系统的鲁棒H∞控制问题。利用共同Lyapunov函数方法,给出了系统在任意切换下可实现鲁棒H∞控制的充分条件。利用多Lyapunov函数方法,分别给出了切换律和鲁棒H∞状态反馈控制器的设计方法,并以矩阵不等式的形式给出闭环系统镇定且满足H∞性能指标γ的充分条件。最后,通过仿真例子验证了方法的有效性。

The problems on robust H∞ control for a class of network switched fuzzy systems were sutdied based on switching technique and T-S fuzzy model.The sufficient conditions for the existence of robust H∞ control under arbitrary switching were given by using common Lyapunov function method.The switching laws and robust H∞ state feedback controllers in design were proposed through multiple Lyapunov function method.In addition,the sufficient conditions were presented in the form of matrix inequalities,under which the resulting closed-loop systems were asymptotically stable with H∞ disturbance attenuation γ.Finally,a simulation example shows the validity of this design method.