Multivariable routh‐approximant model reduction method in the time domain

J. V. Ramakrishnan, S. Vittal Rao, L. R. Koval

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The time‐domain Routh‐approximant method for model reduction of large‐scale systems is modified and enhanced in this paper. A new transformation matrix that overcomes a limitation of earlier work is proposed. This feature greatly enhances the multivariable method. Some interesting results on symmetry properties are developed in conjunction with a structure example. A sufficiency condition of stability of the reduced‐order model is identified. The response of the reduced‐order model traces the original system very well. Thus the Routh method offers promise for application in the suboptimal control of large space structures, given its inherent simplicity.

Original languageEnglish
Pages (from-to)233-247
Number of pages15
JournalOptimal Control Applications and Methods
Issue number3
StatePublished - 1990


  • Extensions of multivariable systems Stability
  • Model reduction
  • Modified transformation matrix


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