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

J. Medanic; H. S. Tharp; W. R. Perkins

doi:10.1109/cdc.1986.267330

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

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

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

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 language	English (US)
Pages (from-to)	505-508
Number of pages	4
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1986.267330
State	Published - 1986

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.1986.267330

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title = "SELECTION OF THE WEIGHTING MATRICES AND THE DEGREE OF RELATIVE STABILITY TO POSITION THE SPECTRUM OF THE OPTIMAL REGULATOR.",

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.",

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language = "English (US)",

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AB - 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.

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

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

Abstract

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