期刊文献+

基于广义界实定理的窗口H_∞性能分析 被引量:2

Window H_∞ performance analysis based on generalized bounded real theorem
下载PDF
导出
摘要 为研究连续时间控制系统局部频段的H∞性能,基于传统H∞范数提出了窗口H∞范数的新概念,指出传统H∞范数是窗口H∞范数的特例.利用广义Kalman-Yakubovich-Popov引理证明了弱形式广义界实定理,针对低频段、中频段、高频段3种情况得出了相应的研究结果.低频段的推论能应用于控制系统的带宽设计问题,中频段的推论能用于控制系统的稳定裕度指标设计问题,高频段的推论能用于控制系统抗干扰的设计问题.例子表明窗口H∞性能分析方法比传统H∞性能分析方法更适于局部频段. To investigate H∞ performance of continuous-time control systems in local frequency range, a new conception of window H∞ norm is presented based on traditional H∞ norm, and it is stated that traditional H∞ norm is a special case of window H∞ norm. Weak form generalized bounded real theorem is proved using generalized Kalman-Yakubovich-Popov lemma. The relevant results are obtained for three cases including low frequency range, middle frequency range and high frequency range. The corollary in low frequency range can be applied to bandwidth design problem of control systems, and the corollary in middle frequency range can be applied to stability margin design problem of control systems, and the corollary in high frequency range can be applied to anti-disturbance design problem of control systems. The example demonstrates that the method of window H∞ performance analysis is more suitable for local frequency range than the traditional H∞ performance anaysis method.
出处 《东南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第A02期158-162,共5页 Journal of Southeast University:Natural Science Edition
基金 中国博士后科学基金资助项目(20080431095)
关键词 窗口H∞范数 局部频段 GKYP引理 广义界实定理 window H∞ norm local frequency range generalized Kalman-Yakubovich-Popov lemma generalized bounded real theorem
  • 相关文献

参考文献8

  • 1Doyle J C. Robust and optimal control [ C ]//Proc of the 35th IEEE Conference on Decision and Control. Kobe, Japan, 1996, 2:1595 - 1598.
  • 2Zames G. Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximation inverses [ J]. IEEE Transactions on Automatic Control, 1981, 26(2) : 301 - 320.
  • 3Doyle J C, Glover K, Khargonekar P, et al. State-space solutions to standard and control problems [ J ]. IEEE Transactions on Automatic Control, 1989, 34 ( 8 ) : 831 - 847.
  • 4Hara S, Iwasaki T, Shiokata D. Robust PID control using generalized KYP synthesis: direct open-loop shaping in multiple frequency ranges E J ]. IEEE Control Systems Magazine, 2006, 26( 1 ): 80- 91.
  • 5Iwasaki T, Hara S. Generalized KYP lemma: unified frequency domain inequalities with design applications [ J ]. IEEE Transactions on Automatic Control, 2005,50( 1 ) :41 -59.
  • 6Iwasaki T, Hara S, Yamauchi H. Dynamical system design from a control perspective: finite frequency positive-realness approach [J]. IEEE Transactions on Automatic Control, 2003, 48(8) : 1337 - 1354.
  • 7Iwasaki 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 (5/6) : 415 - 434.
  • 8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

二级参考文献12

  • 1Li Y,Ang K H,Chong G.PID control system analysis and design.IEEE Control Systems Magazine,2006,26(1):32-41
  • 2Ang K H,Chong G,Li Y.PID control system analysis,design,and technology.IEEE Transactions on Control Systems Technology,2005,13(4):559-576
  • 3Astróm K J,Hágglund T.Advanced PID Control.Pittsburgh:ISA,2005.1-10
  • 4Chee F,Fernando T L,Savkin A V,Heeden V.Expert PID control system for blood glucose control in criticallyill patients.IEEE Transactions on Information Technology in Biomedicine,2003,7(4):419-425
  • 5Chen J,Huang T C.Applying neural networks to on-line updated PID controllers for nonlinear process control.Journal of Process Control,2004,14(2):211-230
  • 6Carvajal J,Chen G,Ogmen H.Fuzzy PID controller:design,performance evaluation,and stability analysis.Information Sciences,2000,123(3-4):249-270
  • 7Johnson M A,Moradi M F.PID Control:New Identification and Design Methods.London:Springer-Verlag,2005.473-515
  • 8Lin C L,Jan H Y,Shieh N C.GA-baasd multiobjective PID control for a linear brushless DC motor.IEEE Transactions on Mechatronics,2003,8(1):5-65
  • 9Gaing Z L.A particle swarm optimization approach for optimum design of PID controller in AVR system.IEEE Transactions on Energy Conversion,2004,19(2):384-391
  • 10Szita G.Sanathanan C K.A model matching approach for designing decentralized MIMO controllers.Journal of the Franklin Institute,2000,337(6):641-660

共引文献10

同被引文献36

  • 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
  • 7贾英民.鲁棒H∞控制[M].北京:科学出版社,2007.
  • 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2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部