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基于广义KYP引理方法的奇异摄动系统有限频段正实性能分析 被引量：6

Finite frequency positive realness analysis of singularly perturbed systems based on generalized KYP lemma approach
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摘要 基于广义KYP引理,研究了奇异摄动系统的有限频段正实性能.根据奇异摄动系统的双频标特性,即有低频和高频两种频域尺度,应用广义KYP引理,分别研究了奇异摄动系统的降阶子系统在其低频段和高频段的正实性,并以线性矩阵不等式形式给出了上述子系统在有限频段正实的充分必要条件.在此基础上,进一步证明了奇异摄动系统在一定条件下是部分频段正实的. The finite positive realness property of singularly perturbed systems is studied based on generalized Kalman-Yakubovic -Popov（KYP） lemma approach.According to the two-frequency scale property of singularly perturbed systems,namely the low（slow） frequency and high（fast） frequency,generalized KYP lemma is applied to the reduced-order subsystems of singularly perturbed systems in the corresponding frequency domain.Then sufficient and necessary conditions are derived to make sure that the subsystems are finite frequency positive realness（FFPR）.Furthermore,it is proved that the singularly perturbed systems are FFPR under certain conditions.
作者 梅平 邹云
机构地区 南京信息工程大学信息与控制学院 南京理工大学自动化学院
出处 《控制与决策》 EI CSCD 北大核心 2010年第5期711-714,720,共5页 Control and Decision
基金 国家自然科学基金项目(60874007) 高等学校博士学科点专项科研基金项目(200802550024)
关键词 广义KYP引理 有限频段正实 线性矩阵不等式 奇异摄动系统 Generalized KYP lemma Finite frequency positive realness（FFPR） Linear matrix inequality（LMI） Singularly perturbed system
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12

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共引文献1

同被引文献47

  • 1Iwasaki T, Hara S. Generalized KYP Lemma: Unified Frequency Domain Inequalities with Design Applications [J]. IEEE Trans. on Automatic Control (S0018-9286), 2005, 50(1): 41-59.
  • 2Iwasaki T, Hara S. Feedback Control Synthesis of Multiple Frequency Domain Specifications via Generalized KYP Lemma [J]. International Journal of Robust and Nonlinear Control (S 1049-8923), 2007, 17(5): 415-434.
  • 3Du X, Yang G. HooModel Reduction of Linear Continuous-time Systems over Finite Frequency Interval-LMI based Approach [C]// 2009 American Control Conference. St. Louis, MO, USA. 2009: 5725-5730.
  • 4Zhang X, Yang G. Dynamic Output Feedback Control with Finite Frequency Specifications for Time-delay Systems [C]// Proceedings of 47th IEEE Conference on Decision and Control, 2008. USA: IEEE, 2008: 3559-3564.
  • 5Zhang X, Yang G. Mixed Frequency Small Gain State Feedback Control with Application to Insulin Pumps [J]. International Journal of Control, Automation, and Systems (S2005-4092), 2009, 7(2): 319-324.
  • 6马国梁,陈庆伟,胡维礼.基于窗口H_∞范数的PID控制器优化设计[J].自动化学报,2007,33(9):1000-1003. 被引量：11
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  • 8Iwasakil T,Hara S. Generalized KYP lemma;Unified frequency domain inequalities with design applications[ J]. IEEE Trans on Automatic Control,2005,50( 1) :41-59.
  • 9Iwasaki T,Hara S. Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma[ J]. International Journal of Robust and Nonlinear Control,2007,17 :415-434.
  • 10DU X, YANG G. Model Reduction of Linear Continuous-time Systems over Finite Frequency Interval-LMI based Approach[C]. 2009 American Control Conference,2009:5725-5730.

引证文献6

二级引证文献16

控制与决策
2010年 第5期

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