期刊文献+

广义线性系统综述 被引量:3

Survey of descriptor linear systems
下载PDF
导出
摘要 系统地论述了广义线性系统的发展和研究现状,包括可解性、能控能观性、正则化、脉冲消除、观测器设计、故障检测.比较详细地对广义线性系统的特殊问题如能控能观性和脉冲消除等进行了阐述.讨论了目前研究中存在的问题及将来的研究方向. The history and current research of descriptor linear systems are viewed, including solvability, regularization, impulse elimination, observer design, fault detection, and so on. Detailed advances are given for the special problems of descriptor systems, for example, controllability and observability, and impulse elimination. Existing problems are pointed out and future research directions are disscussed.
出处 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2007年第5期682-690,共9页 Journal of Harbin Institute of Technology
基金 国家杰出青年基金资助项目(69925308) 长江学者和创新团队发展计划资助项目
关键词 广义线性系统 可解性 能控性 能观性 脉冲模 descriptor linear systems solvability controllability observability impulsive modes
  • 相关文献

参考文献103

  • 1LUENBERGER D G. Dynamics equation in descriptor form [J]. IEEE Trans Automat Contr, 1977, 22:312 - 321.
  • 2VERGHESE G C, LEVY B C, KAILATH T. A generalized state-space for singular systems [ J ]. IEEE Transactions on Automatic Control, 1981, 26 (4) : 811 - 831.
  • 3MCCLAMROCH N H. Singular systems of differential equations as dynamical models for constrained robot systems [ C]//Proceedings of IEEE Robotics and Automation Conference. Piscataway: IEEE, 1986:21-28.
  • 4GANTMACHER F R. The Theory of Matrices [ M ]. New York: Chelsea, 1959.
  • 5WILKISON J H. Linear differential equations and Kronecker' s canonical form [ C ]// Recent Advances in Numerical Analysis. New York: Academic, 1978, 231 - 265.
  • 6DOETSCH G. Introduction to the Theory and Application of Laplace Transformation [ M ]. New York : Spring - Verlag, 1974.
  • 7GEERTS T, MEHRMANN V. Linear differential equations with constant coefficients: a distributional approach[ C]//Preprint 90 -073, SFB 343. Univ. Bielefeld, Germany, 1990.
  • 8GEERTS T. Solovability Conditions, consistency, and weak consistent for linear differential-algebra equations and time - invariant singular systems: the general case [J]. Linear Algebra and Its Application, 1993, 181: 111 - 130.
  • 9COBB D. On solutions of linear differential equations with singular coefficients [ J]. J Differential Equations, 1982, 46:310-323.
  • 10MALABRE M. Generalized linear systems: geometric and structural approaches [ J ]. Linear Algebra and its Applications, 1989, 122/123/124:591-621.

二级参考文献25

  • 1Hou M,IEEE Trans Autom Control,1995年,40卷,1期,133页
  • 2Gu D W,IEEE Trans Autom Control,1993年,38卷,11期,1713页
  • 3Wang F Y,IEEE Trans Autom Control,1989年,34卷,7期,733页
  • 4Yang C W,Int J Control,1989年,49卷,6期,1937页
  • 5Dai L,Mingular control systems,1989年
  • 6A. Bunse-Gerstner,V. Mehrmann,N.K. Nichols.Derivative feedback for descriptor systems. the IFAC Workshop on system structure and control: Stat-Space andPolynomial Methods . 1989
  • 7A. BUnse-Gerstner,,V. Mehrmann,N.K. Nichols.On derivative and proportional feedbackdesign for descriptor systems. Proc. Internat. Synlposiunl MTNS-89 . 1990
  • 8A. Bunse-Gerstner,V. Mehrmann,N.K. Nichols.Regularizatioll of descriptor systems byderivative and proportional state feedback. SIAM J. Mail’’ix Anal. Appl . 1992
  • 9L. Dai.Singular control systems. Lecture Notes in Control and information Sciences No.118 . 1989
  • 10J. Demmel,B. kagstrom.Accurate solution of ill-posed problems in control theory. SIAM Journal on Matrix Analysis and Applications . 1988

共引文献3

同被引文献27

  • 1刘锋,王讲书,葛照强.广义系统能控性的两个充要条件(英文)[J].纯粹数学与应用数学,2005,21(4):361-365. 被引量:5
  • 2张国山.基于动态补偿的广义系统的正则化与极点配置[J].控制与决策,2006,21(1):51-55. 被引量:12
  • 3姬兴民.两类广义线性Hamilton控制系统[J].西安邮电学院学报,2006,11(1):103-105. 被引量:2
  • 4李罗文,王子栋,郭治.基于圆形区域极点配置的降维状态观测器设计[J].南京理工大学学报,1997,21(2):169-172. 被引量:3
  • 5Chu D L, Ho D W C. Necessary and sufficient conditions for the output feedback regularization of descriptor systems[J]. IEEE Trans on Automatic Control, 1999, 44(2): 405-412.
  • 6Darouach D. H∞ unbiased filtering for linear descriptor systems via LMI[J]. IEEE Trans on Automatic Control, 2009, 54(8): 1966-1972.
  • 7Zhou L, Lu G. Robust stability of singularly perturbed descriptor systems with nonlinear perturbation[J]. IEEE Trans on Automatic Control, 2011, 54(8): 858-863.
  • 8Hou M. Controllability and elimination of impulsive modes in descriptor systems[J]. IEEE Trans on Automatic Control, 2004, 49(10): 1723-1729.
  • 9Yagoubi M. On multiobjective synthesis for parameter dependent descriptor systems[J]. IET Control Theory and Applications, 2010, 4(5): 818-826.
  • 10Masubuchi I, Kamitane Y, Ohara A, et al. H∞ control for descriptor systems: A matrix inequalities approach[J]. Automatica, 1997, 33(4): 669-673.

引证文献3

二级引证文献6

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