443
Views
78
CrossRef citations to date
0
Altmetric
Original Articles

H model reduction for discrete time-delay systems: delay-independent and dependent approaches

, , &
Pages 321-335 | Received 12 Jul 2003, Published online: 19 Feb 2007

References

References

  • El Ghaoui , L , Oustry , F and Ait Rami , M . 1997 . A cone complementarity linearization algorithm for static output-feedback and related problems . IEEE Transactions on Automatic Control , 42 : 1171 – 1176 .
  • Fridman , E and Shaked , U . 2002 . An improved stabilization method for linear time-delay systems . IEEE Transactions on Automatic Control , 47 : 1931 – 1937 .
  • Gahinet , P and Apkarian , P . 1994 . A linear inequality approach to H ∞ control . International Journal of Robust and Nonlinear Control , 4 : 421 – 448 .
  • Gahinet P Nemirovskii A Laub AJ Chilali M 1995 LMI Control Toolbox User's Guide Natick MA The Math. Works Inc.
  • Gao , H and Wang , C . 2003 . Comments and further results on ‘A descriptor system approach to H ∞ control of linear time-delay systems’ . IEEE Transactions on Automatic Control , 48 : 520 – 525 .
  • Glover , K . 1984 . All optimal Hankel norm approximations of linear multivariable systems and their L ∞-error bounds . International Journal of Control , 26 : 1115 – 1193 .
  • Grigoriadis , KM . 1995 . Optimal H ∞ model reduction via linear matrix inequalities: continuous- and discrete-time cases . Systems and Control Letters , 26 : 321 – 333 .
  • Iwasaki , T and Skelton , RE . 1994 . All controllers for the general H ∞ control problem: LMI existence conditions and state space formulas . Automatica , 30 : 1307 – 1317 .
  • Kapila , V and Haddad , WM . 1998 . Memoryless H ∞ controllers for discrete-time systems with time delay . Automatica , 34 : 1141 – 1144 .
  • Kavranoglu , D . 1993 . Zeroth order H ∞ norm approximation of multivariable systems . Numerical Functional Analysis and Optimization , 14 : 89 – 101 .
  • Lam , J . 1993 . Model reduction of delay systems using Padé approximates . International Journal of Control , 57 : 377 – 391 .
  • Lastman , GJ . 1984 . Reduced-order aggregated models for bilinear time-invariant dynamical systems . IEEE Transactions on Automatic Control , 29 : 359 – 361 .
  • Mahmoud MS 2000 Robust Control and Filtering for Time-Delay Systems New York Marcel-Dekker
  • Marshak , AH , Johnson , DE and Johnson , JR . 1974 . A Bessel rational filter . IEEE Transactions on Circuits and Systems (I) , 21 : 797 – 799 .
  • Moon , YS , Park , P , Kwon , WH and Lee , YS . 2001 . Delay-dependent robust stabilization of uncertain state-delayed systems . International Journal of Control , 74 : 1447 – 1455 .
  • Moore , B . 1981 . Principal component analysis in linear systems: controllability, observability, and model reduction . IEEE Transactions on Automatic Control , 26 : 17 – 31 .
  • Xu S Lam J Ho DWC Yang CW 2001 a Model reduction for linear time-delay systems: discrete-time case In Proceedings of the 3rd International Conference on Control Theory and Applications, Pretoria South Africa pp. 360–364
  • Xu , S , Lam , J , Huang , S and Yang , C . 2001 b . H ∞ model reduction for linear time-delay systems: continuous-time case . International Journal of Control , 74 : 1062 – 1074 .
  • Zhang , L , Huang , B and Lam , J . 2003 a . H ∞ model reduction of Markovian jump linear systems . Systems and Control Letters , 50 : 103 – 118 .
  • Zhang , L , Lam , J , Huang , B and Yang , G . 2003 b . On gramians and balanced truncation of discrete-time bilinear systems . International Journal of Control , 76 : 414 – 427 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.