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基于LMI的线性时滞系统输出动态反馈镇定 被引量：6

LMI-based output dynamical feedback stabilization for linear time-delay systems
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摘要 考虑线性时滞系统的输出动态反馈镇定问题.利用自由参数矩阵对闭环系统进行适当变换,并结合相应的Lyapunov-Krasovskii泛函得到了时滞相关的控制器存在性判据.利用控制器参数化方法,将控制器参数与泛函参数的求解归结为线性矩阵不等式解的形式,从而克服了时滞无关性及求解非凸优化问题所导致的保守性.仿真算例验证了结论的有效性. The output dynamical feedback control is considered for time-delay system to stabilize the closed-loop system. A specified transformation of the closed-loop system with ftee matrices and correspondent construction of Lyapunov-Krasovskii functional are introduced, by which the delay-dependent stability criterion is derived. Furthermore, the parameterization of controller is used to establish the design condition in terms of LMI with respect to all parameters of controller and Lyapunov-Krasovskii function. The conservatism caused by delay-independence and nonconvexity in the existent results is relaxed by using the methods. Numerical examples show the effectiveness of the proposed methods.
作者 钱伟 沈国江 孙优贤
机构地区 浙江大学工业控制技术国家重点实验室
出处 《控制与决策》 EI CSCD 北大核心 2008年第5期546-550,共5页 Control and Decision
基金 国家863计划项目(2007AA11Z216) 国家自然科学基金项目(50708094)
关键词 时滞系统 输出动态反馈 鲁棒控制 线性矩阵不等式 Time-delay systems Output dynamical feedback Robust control Linear matrix inequality （LMI）
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献12

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同被引文献51

  • 1宗臻,王诗宓.基于LMI的输出反馈鲁棒完整性控制器设计[J].控制理论与应用,2005,22(5):682-686. 被引量：15
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  • 3PETER P G.Complex systems and intelligent control:issues and challenges[C] //The 9th IFAC Symposium on Large Scale Systems (LSS'01),Bucharest,Romania,2001:29-36.
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  • 6LI Xiao-hua,GUO Hong-yan.Robust decentralized connective stabilization for expanding construction of large-scale systems[C] //Proceedings of the IEEE International Conference on Automation and Logistics,Qingdao,2008:1121-1125.
  • 7CHEN Shinn-horng.Optimal output feedback control for linear uncertain systems using LMI-based approach and genetic algorithm[C] //2006 IEEE International Conference on Systems,2006:4136-4141.
  • 8FRYE M T.Decentralized output feedback control of large-scale nonlinear systems interconnected by unmeasurable states[C] //Proceedings of the 2004 American Control Conference,2004:4267-4272.
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  • 10TAN X L,IKEDA M.Decentralized stabilization for expanding construction of large-scale systems[J].IEEE Transactions on Automatic Control,1990,35(6):644-651.

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控制与决策
2008年 第5期

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