Extended H∞ control - H∞ control with unstable weights

Tsutomu Mita; Xin Xin; Brian D.O. Anderson

doi:10.1016/S0005-1098(99)00200-9

Extended H_∞ control - H_∞ control with unstable weights

Tsutomu Mita, Xin Xin, Brian D.O. Anderson

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Abstract

This paper presents a complete solution to an extended H_∞ control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and sufficient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H_∞ norm constraint on the closed loop of the transfer function matrix of the generalized plant and controller interconnection. The set of all feasible controllers is characterized. Conditions for solvability are a minimal variation on those appearing in the standard H_∞ control problem.

Original language	English
Pages (from-to)	735-741
Journal	Automatica
Volume	36
Issue number	5
DOIs	https://doi.org/10.1016/S0005-1098(99)00200-9
Publication status	Published - May 2000

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abstract = "This paper presents a complete solution to an extended H∞ control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and sufficient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H∞ norm constraint on the closed loop of the transfer function matrix of the generalized plant and controller interconnection. The set of all feasible controllers is characterized. Conditions for solvability are a minimal variation on those appearing in the standard H∞ control problem.",

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N2 - This paper presents a complete solution to an extended H∞ control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and sufficient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H∞ norm constraint on the closed loop of the transfer function matrix of the generalized plant and controller interconnection. The set of all feasible controllers is characterized. Conditions for solvability are a minimal variation on those appearing in the standard H∞ control problem.

AB - This paper presents a complete solution to an extended H∞ control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and sufficient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H∞ norm constraint on the closed loop of the transfer function matrix of the generalized plant and controller interconnection. The set of all feasible controllers is characterized. Conditions for solvability are a minimal variation on those appearing in the standard H∞ control problem.

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JO - Automatica

JF - Automatica

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Extended H_∞ control - H_∞ control with unstable weights

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