SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR.

J. Medanic, Hal S Tharp, W. R. Perkins

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

New properties of the algebraic Riccati equation (ARE) are developed, establishing the invariance of certain eigenspaces of the associated Hamiltonian matrix to certain perturbations of the weighting matrix Q and the degree of relative stability. These results are used to develop a sequential procedure which, by modifying the performance criterion, achieves full and numerically convenient placement of the real parts of the optimal eigenvalues. The placement of eigenvalues is implicit since the invariance results specify the final performance criterion; the solution of the resulting linear-quadratic problem then defines the optimal gain and the closed-loop system having the desired spectral configuration.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages505-508
Number of pages4
StatePublished - 1986
Externally publishedYes

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Invariance
Hamiltonians
Riccati equations
Closed loop systems

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Medanic, J., Tharp, H. S., & Perkins, W. R. (1986). SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR. In Proceedings of the IEEE Conference on Decision and Control (pp. 505-508). IEEE.

SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR. / Medanic, J.; Tharp, Hal S; Perkins, W. R.

Proceedings of the IEEE Conference on Decision and Control. IEEE, 1986. p. 505-508.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Medanic, J, Tharp, HS & Perkins, WR 1986, SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR. in Proceedings of the IEEE Conference on Decision and Control. IEEE, pp. 505-508.
Medanic J, Tharp HS, Perkins WR. SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR. In Proceedings of the IEEE Conference on Decision and Control. IEEE. 1986. p. 505-508
Medanic, J. ; Tharp, Hal S ; Perkins, W. R. / SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR. Proceedings of the IEEE Conference on Decision and Control. IEEE, 1986. pp. 505-508
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