期刊文献+

离散传递函数正实性与连续传递函数有限频率正实性的代数判据 被引量:1

Algebraic Criteria for Positive Realness of Discrete Transfer Function and Finite Frequency Positive Realness of Continuous Transfer Function
下载PDF
导出
摘要 正实性是控制理论中最重要的概念之一.许多控制目标的实现皆依赖于某些传递函数的正实性.相比于正实性,有限频率正实性则是较近提出的概念,并且亦在控制理论中找到了大量应用.为了判断离散标量传递函数的正实性和连续标量传递函数的有限频率正实性,本文分别给出了一种易于计算的简洁代数判据.现有的判断连续标量传递函数严格正实性的代数判据可以看作是本文结果的特殊情况.数值算例验证了方法的有效性. Positive realness of a transfer function is one of the most important notions in control theory. The achievements of many control objectives rely on the positive realness of certain transfer functions. Compared with positive realness, finite frequency positive realness is a new notion, and it also finds some important applications in control theory. In order to verify the positive realness of scalar discrete transfer function and the finite frequency positive realness of continuous scalar transfer function, this paper presents a simple algebraic criterion. Some existing results can be regarded as special cases of the presented results. Numerical examples show the effectiveness of the proposed approach.
作者 周彬 段广仁
出处 《自动化学报》 EI CSCD 北大核心 2009年第5期561-567,共7页 Acta Automatica Sinica
基金 国家自然科学基金重大国际合作项目(60710002) 长江学者创新团队发展计划资助~~
关键词 离散传递函数 正实性 连续传递函数 有限频率正实性 代数判据 Discrete transfer function, positive realness algebraic criterion continuous transfer function, finite frequency positive realness
  • 相关文献

参考文献17

  • 1Anderson B,Vongpanitlerd S.Network Analysis and Synthesis.New Jersey:Prentice-Hall,1973
  • 2Khalil H K.Nonlinear Systems.New York:Prentice Hall,2002
  • 3Astrom K J.Theory and applications of adaptive control:a survey.Automatica,1983,19(5):471-486
  • 4Ioaunou P,Tao G.Frequency domain conditions for strictly positive real functions.IEEE Transactions on Automatic Control,1987,32(1):53-54
  • 5Shorten R,King C.Spectral conditions for positive realness of single-input-single-output systems.IEEE Transactions on Automatic Control,2004,49(10):1875-1877
  • 6Bai Z,Frennd R W.Eigenvalue-based characterization and test for positive realness of scalar transfer functions.IEEE Transactions on Automatic Control,2000,45(12):2396-2402
  • 7Shorten R N,Curran P,Wulff K,Zeheb E.A note on spectral conditions for positive realness of transfer function matrices.IEEE Transactions on Automatic Control,2008,53(5):1258-1261
  • 8Sun W Q,Khargonekar P P,Shim D.Solutions to the positive real control problem for linear time-invariant systems.IEEE Transactions on Automatic Control,1994,39(10):2034-2046
  • 9Zhou B,Duan G R.Solutions to the positive real control problem for linear systems via reduced-order observer.In:Proceedings of the 7th World Congress on Intelligent Control and Automation.Chongqing,China:IEEE,2008.4628-4632
  • 10Duan Z S,Huang L,Wang L.Multiplier design for extended strict positive realness and its applications.International Journal of Control,2004,77(17):1493-1502

共引文献9

同被引文献2

引证文献1

二级引证文献14

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