变时滞奇异Lurie中立型切换系统的鲁棒控制  

Robust control of singular Lurie neutral switched systems with time-varying delays

作　　者：秦燕飞 包俊东[1] QIN Yan-fei;BAO Jun-dong(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院

出　　处：《高师理科学刊》2019年第10期5-11,共7页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金资助项目(11561053);内蒙古师范大学十百千人才工程项目(PCRY-2-2012-K-037);内蒙古师范大学研究生科研创新基金资助项目(CXJJS18070,CXJJS19096);内蒙古自治区研究生教育创新计划资助项目(S2018111966Z)

摘　　要：基于Lyapunov-Krasovskii泛函、Schur补引理及矩阵不等式方法,讨论一类具有不确定性变时滞的奇异Lurie中立型切换系统的鲁棒H￥控制问题.在系统的某种切换策略下,得到了使不确定变时滞奇异Lurie中立型切换系统能够渐近稳定的充分性判据,为系统的综合提供了可行性判据.设计具有记忆的状态反馈控制器,为系统的稳定性分析及控制器的综合提供了更多的自由度.通过数值仿真,验证了控制器的有效性和实用性.Based on Lyapunov-krasovski functional theory,Schur complement lemma and matrix inequality method,discusses the robust H￥control problem of a class of singular Lurie neutral switching system with uncertain time-varying delay.Under some switching strategy of the system,the sufficient criteria for the asymptotic stability of the uncertain variable time-delay singular Lurie neutral switching system is obtained,which provides the feasibility for system synthesis.A state feedback controller with memory is designed to provide more freedom for system stability analysis and controller synthesis.The effectiveness and practicability of the controller are verified by numerical simulation.

关 键 词：变时滞 奇异Lurie中立型切换系统 有记忆反馈控制器 

分 类 号：O231.2[理学—运筹学与控制论]