A first principles solution to the non‐singular H∞ control problem

Ian R. Petersen; Brian D.O. Anderson; Edmond A. Jonckheere

doi:10.1002/rnc.4590010304

A first principles solution to the non‐singular H^∞ control problem

Ian R. Petersen^*, Brian D.O. Anderson, Edmond A. Jonckheere

^*Corresponding author for this work

School of Engineering

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

202 Citations (Scopus)

Abstract

This paper presents an elementary solution to the non‐singular H^∞ control problem. In this control problem, the underlying linear system satisfies a set of assumptions which ensures that the solution can be obtained by solving just two algebraic Riccati equations of the game type. This leads to the central solution to the H^∞ control problem. The solution presented in this paper uses only elementary ideas beginning with the Bounded Real Lemma.

Original language	English
Pages (from-to)	171-185
Number of pages	15
Journal	International Journal of Robust and Nonlinear Control
Volume	1
Issue number	3
DOIs	https://doi.org/10.1002/rnc.4590010304
Publication status	Published - 1991

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10.1002/rnc.4590010304

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title = "A first principles solution to the non‐singular H∞ control problem",

abstract = "This paper presents an elementary solution to the non‐singular H∞ control problem. In this control problem, the underlying linear system satisfies a set of assumptions which ensures that the solution can be obtained by solving just two algebraic Riccati equations of the game type. This leads to the central solution to the H∞ control problem. The solution presented in this paper uses only elementary ideas beginning with the Bounded Real Lemma.",

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AU - Anderson, Brian D.O.

AU - Jonckheere, Edmond A.

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N2 - This paper presents an elementary solution to the non‐singular H∞ control problem. In this control problem, the underlying linear system satisfies a set of assumptions which ensures that the solution can be obtained by solving just two algebraic Riccati equations of the game type. This leads to the central solution to the H∞ control problem. The solution presented in this paper uses only elementary ideas beginning with the Bounded Real Lemma.

AB - This paper presents an elementary solution to the non‐singular H∞ control problem. In this control problem, the underlying linear system satisfies a set of assumptions which ensures that the solution can be obtained by solving just two algebraic Riccati equations of the game type. This leads to the central solution to the H∞ control problem. The solution presented in this paper uses only elementary ideas beginning with the Bounded Real Lemma.

KW - Bounded real lemma

KW - H control

KW - Riccati equations

UR - https://www.scopus.com/pages/publications/84987216721

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M3 - Article

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JF - International Journal of Robust and Nonlinear Control

IS - 3

ER -

A first principles solution to the non‐singular H^∞ control problem

Abstract

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