H∞ -Optimal Control with State-feed-back

Pramod P. Khargonekar; Ian R. Petersen; Mario A. Rotea

doi:10.1109/9.1301

H∞ -Optimal Control with State-feed-back

Pramod P. Khargonekar
, Ian R. Petersen
, Mario A. Rotea

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

148 Citations (Scopus)

Abstract

This note considers an H∞ optimal control problem in which the measured outputs are the states of the plant. Our main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feed-back equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feed-back controllers.

Original language	English
Pages (from-to)	786-788
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	33
Issue number	8
DOIs	https://doi.org/10.1109/9.1301
Publication status	Published - 1 Aug 1988
Externally published	Yes

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title = "H∞ -Optimal Control with State-feed-back",

abstract = "This note considers an H∞ optimal control problem in which the measured outputs are the states of the plant. Our main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feed-back equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feed-back controllers.",

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AU - Khargonekar, Pramod P.

AU - Petersen, Ian R.

AU - Rotea, Mario A.

PY - 1988/8/1

Y1 - 1988/8/1

N2 - This note considers an H∞ optimal control problem in which the measured outputs are the states of the plant. Our main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feed-back equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feed-back controllers.

AB - This note considers an H∞ optimal control problem in which the measured outputs are the states of the plant. Our main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feed-back equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feed-back controllers.

UR - https://www.scopus.com/pages/publications/0024056990

U2 - 10.1109/9.1301

DO - 10.1109/9.1301

M3 - Article

AN - SCOPUS:0024056990

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SP - 786

EP - 788

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 8

ER -

H∞ -Optimal Control with State-feed-back

Abstract

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