Optimal pole allocation and weighting matrix selection

Tsu Tian Lee, Jyh-Chin Juang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The Levy-Hadamard's theorem and Bendixson's theorem are applied to derived algebraic relations which will set bounds on the real and imaginary parts of the eigenvalues of the closed-loop matrix. It is shown that the required feedback matrix can be found very simply. Further, the inverse problem of optimal control, which characterizes the cost function based on the given feedback matrix, is considered. Gutman and Jury's (1981) result is used to derive some algebraic relations which cluster the feedback system poles inside a second-order curve in the complex frequency s-plane. It is also shown that once these relations are obtained, a proposed algorithm can be performed readily to determine the quadratic performance index of linear optimal control problems.

Original languageEnglish
Pages (from-to)325-336
Number of pages12
JournalInternational Journal of Systems Science
Volume17
Issue number2
DOIs
Publication statusPublished - 1986 Jan 1

Fingerprint

Weighting
Pole
Poles
Feedback
Linear Control
Feedback Systems
Performance Index
Inverse problems
Theorem
Cost functions
Closed-loop
Cost Function
Optimal Control Problem
Inverse Problem
Optimal Control
Eigenvalue
Curve

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

Cite this

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Optimal pole allocation and weighting matrix selection. / Lee, Tsu Tian; Juang, Jyh-Chin.

In: International Journal of Systems Science, Vol. 17, No. 2, 01.01.1986, p. 325-336.

Research output: Contribution to journalArticle

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