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不确定广义系统的保性能控制 被引量：1

Guaranteed Cost Control for Uncertain Singular Systems
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摘要 针对一类具有范数有界不确定性的连续广义系统和一种具有时间乘积形式的二次性能指标,研究其状态反馈保性能控制器的设计问题.这种性能指标能够使系统状态响应随着时间的增加更快地趋于零,从而缩短系统达到稳定所需要的时间.文中给出了最优保性能控制器存在的充分必要条件并基于双线性矩阵不等式(BM I)、二次矩阵不等式(QM I)和LM I给出其设计方法,最后利用SDP软件和BM I软件举例说明所得结论的可行性. Design of state-feedback guaranteed cost controllers is considered for a class of norm bounded uncertain singular systems and a time-multiplied linear quadratic cost function. Such a cost function enables the state responses to approach zero more quickly, and shortens stabilizing time of the systems. The sufficient and necessary condition and the optimal design method of guaranteed cost controllers based on bilinear matrix inequalities （BMIs）, quadratic matrix inequalities （QMIs） and LMI are obtained. The numerical example shows the validity of our conclusion via the softwares of SDP and BMI.
作者 杜宝珠 张庆灵
机构地区 东北大学系统科学研究所
出处 《信息与控制》 CSCD 北大核心 2006年第4期517-521,共5页 Information and Control
基金 国家自然科学基金资助项目(60574011)
关键词 不确定性 连续广义系统 保性能控制 uncertainty continuous singular system guaranteed cost control
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

  • 1Petersen I R, McFarlane D C. Optimal guaranteed cost control of uncertain linear systems [ A]. Proceedings of the 1992 American Control Conference [ C ]. Green Vally, AZ, USA: AACC, 1992.2929 - 2930.
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信息与控制
2006年 第4期

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