Guaranteed Stability Margins for the Discrete-Time Linear Quadratic Optimal Regulator

U. Shaked

doi:10.1109/TAC.1986.1104222

Guaranteed Stability Margins for the Discrete-Time Linear Quadratic Optimal Regulator

U. Shaked^*

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

The stability properties of the linear quadratic deterministic optimal regulator are investigated in the discrete-time case. Guaranteed phase- and gain-margins are obtained for the regulator in terms of the singular values of the matrices of the regulator state-space description. These margins are compared to their continuous-time counterparts and their implication on the regulator robustness is discussed.

Original language	English
Pages (from-to)	162-165
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	31
Issue number	2
DOIs	https://doi.org/10.1109/TAC.1986.1104222
State	Published - Feb 1986

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abstract = "The stability properties of the linear quadratic deterministic optimal regulator are investigated in the discrete-time case. Guaranteed phase- and gain-margins are obtained for the regulator in terms of the singular values of the matrices of the regulator state-space description. These margins are compared to their continuous-time counterparts and their implication on the regulator robustness is discussed.",

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AB - The stability properties of the linear quadratic deterministic optimal regulator are investigated in the discrete-time case. Guaranteed phase- and gain-margins are obtained for the regulator in terms of the singular values of the matrices of the regulator state-space description. These margins are compared to their continuous-time counterparts and their implication on the regulator robustness is discussed.

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Guaranteed Stability Margins for the Discrete-Time Linear Quadratic Optimal Regulator

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