非线性不确定多时滞切换奇异系统的鲁棒H_∞保性能控制  

Robust H_∞ guaranteed cost control for non-linear uncertain switched singular systems with multiple time-delay

作　　者：张立俊[1] 杨丽芸[1] 刘春菊[2] 仇计清[1] 丛悦[1] 鲍冬冬[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018 [2]石家庄铁道大学四方学院,河北石家庄050228

出　　处：《河北科技大学学报》2015年第2期150-156,共7页Journal of Hebei University of Science and Technology

基　　金：河北省自然科学基金(F2014208042)

摘　　要：对非线性不确定多时滞切换奇异系统的鲁棒H∞保性能控制问题进行了研究。假设系统是正则的和无脉冲情况下有一个范数有界的非线性函数式满足相应的切换规则和Lyapunov函数,应用线性矩阵不等式(LMIs)的方法,得到闭环系统的零解是渐进稳定的,给出鲁棒H∞保性能控制器存在的充分条件和设计方法。最后通过仿真例子,验证所用方法的有效性。This paper investigates the problem of robust H∞guaranteed cost control for non-linear uncertain switched singular systems with multiple time-delay. Nonlinear is considered to be norm bounded and the systems are regular and impulse free. A sufficient condition for existences of robust H∞guaranteed cost controller is given by the linear matrix inequalities（ LMI） at the Lyapunov function and switching rule. It is shown that the closed-loop systems are asymptotically stable. Finally,the results are validated and advantage,through a given example.

关 键 词：稳定性理论 非线性 多时滞 奇异系统 保性能 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]