一类不确定时滞非线性系统的H∞鲁棒镇定  

H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems

作　　者：董亚丽[1] 范姣姣[1] 杨迎娟[1,2] 

机构地区：[1]天津工业大学理学院,天津300160 [2]安徽工程科技学院应用数理系,安徽芜湖241000

出　　处：《系统工程与电子技术》2009年第5期1167-1171,共5页Systems Engineering and Electronics

基　　金：天津市高等学校科技发展基金资助课题(20051527)

摘　　要：利用混杂状态反馈策略研究一类不确定时滞非线性系统的鲁棒H∞镇定问题。首先,当控制器增益矩阵均已知时,利用单Lyapunov函数法和凸组合技术,给出了闭环非线性切换系统具有鲁棒H∞性能的充分条件并设计出相应切换律。然后,当控制器增益矩阵均未知时,利用多Lyapunov函数法,设计了控制器及相应的切换策略,使闭环非线性切换系统是鲁棒H∞渐近稳定的。The problem of H infinity robust stabilization for a class of uncertain time-delay nonlinear systems is investigated by using a hybrid state feedback method. First, when the gain matrices of controllers are all known, by using the single Lyapunov function method and convex combination technique, the sufficient condi tions of closed-loop switched nonlinear systems with robust H infinity performance are derived and the corre sponding switching laws are designed. Then, when the gain matrices of controllers are unknown, by employing muhi-Lyapunov function method, the controllers and the switching laws are designed, which guarantees that the closed loop switched nonlinear system is robust H infinity asymptotically stable.

关 键 词：鲁棒H∞控制 单LYAPUNOV函数 多LYAPUNOV函数 凸组合 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]