179
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Order reduction and determination of dominant state variables of nonlinear systems

Pages 77-90 | Published online: 30 Mar 2007

References

  • Bonvin , D. and Mellichamps , D.A. 1982 . A Unified Derivation and Critical Review of Modal Approaches to Model Reduction . Int. Journal Control , 35 : 829 – 848 .
  • Moore , B.C. 1981 . Principal Component Analysis in Linear Systems: Controllability, Observability and Model Reduction . IEEE Trans. Autom. Control , 26 : 17 – 32 .
  • Glover , K. 1984 . All Optimal Hankel-Norm Approximation of Linear Multivariate Systems and their Error Bounds . Int. Journal Control , 39 : 1115 – 1193 .
  • Lin , C.S. and Chang , P.R. Automatic Dynamics Simplification for Robot Manipulators . Proc. IEEE Conf. Decision and Control . Las Vegas. pp. 752 – 759 .
  • Desrochers , A.A. and Al-Jaar , R.Y. 1985 . A Method for High Order Linear System Reduction and Nonlinear System Simplification . Automatica , 21 : 93 – 100 .
  • Pallaske , U. and Al-Jaar , R.Y. 1987 . Ein Verfahren zur Ordnungsreduktion mathematischer Prozess-modelle . Chem. Ing. Tech. , 7 : 59 – 59 . MS 1617/87
  • Löffler , H.P. and Marquardt , W. 1991 . Order Reduction of Nonlinear Differential-Algebraic Process Models . J. Proc. Control , 1 : 32 – 40 .
  • Kokotovic , P.V. , O'Malley , R.E. and Sannuti , P. 1976 . Singular Perturbations and Order Reduction in Control Theory - An Overview . Automatica , 12 : 123 – 132 .
  • Saksena , V.R. , O'Reilly , J. and Kokotovic , P.V. 1984 . Singular Perturbations and Time-Scale Methods in Control Theory: Survey 1976-1983 . Automatica , 20 : 273 – 293 .
  • Lohmann , B. Order Reduction and Determination of Dominant State Variables of Nonlinear Systems . Proceedings of the IMACS Symposium on Mathematical Modelling . Vienna. pp. 239 – 243 .
  • Lohmann B. Application of Model Order Reduction to a Hydropneumatic Vehicle Suspension To appear in IEEE Transactions on Control Systems Technology
  • Lawson , C.L. and Hanson , R.J. 1974 . Solving Least Squares Problems , Prentice-Hall .
  • Lohmann , B. 1994 . Ordnungsreduktion und Dominanzanalyse nichtlinearer Systeme . Automatisierungstechnik , 42 : 466 – 474 .
  • Lohmann , B. 1994 . “ Ordnungsreduktion und Dominanzanalyse nichtlinearer Systeme ” . In VDI-Fortschrittberichte , Düsseldorf : VDI-Verlag . Reihe 8, Nr. 406
  • Eitelberg , E. 1981 . Model Reduction by Minimizing the Weighted Equation Error . Int. Journal Control , 34 : 1113 – 1123 .

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.