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1988•IEEE Transactions on Automatic ControlRequires access

H/sub infinity /-optimal control with state-feedback

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

Open publisher page 227 citations

Abstract

A H/sub infinity /-optimal control problem in which the measured outputs are the states of the plant is considered. The main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feedback equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feedback controllers.>

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What this paper is about

A H/sub infinity /-optimal control problem in which the measured outputs are the states of the plant is considered. The main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feedback equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feedback controllers.>

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OpenAlex reports 227 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A H/sub infinity /-optimal control problem in which the measured outputs are the states of the plant is considered. The main result shows that the infimum of the norm of the closed-loop transfer function using linear static state-feedback equals the infimum of the norm of the closed-loop transfer function over all stabilizing dynamic (even, nonlinear time-varying) state-feedback controllers.>

Key concepts: Infimum and supremum, Uniform norm, Transfer function, Norm (philosophy), Control theory (sociology), Closed-loop transfer function, Mathematics, Infinity

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