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

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

29 Citations (Scopus)

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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AU - Mita, Tsutomu

AU - Xin, Xin

AU - Anderson, Brian D.O.

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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.

UR - https://www.scopus.com/pages/publications/0033892845

U2 - 10.1016/S0005-1098(99)00200-9

DO - 10.1016/S0005-1098(99)00200-9

M3 - Article

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VL - 36

SP - 735

EP - 741

JO - Automatica

JF - Automatica

IS - 5

ER -

Extended H_∞ control - H_∞ control with unstable weights

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