Low-order H∞ controller design for discrete-time linear systems

Guisheng Zhai; Kenzou Tamaoki; Shinichi Murao

Low-order H_∞ controller design for discrete-time linear systems

Guisheng Zhai, Kenzou Tamaoki, Shinichi Murao

Research output: Contribution to journal › Conference article › peer-review

Abstract

We consider the H_∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

Original language	English
Pages (from-to)	2202-2203
Number of pages	2
Journal	Proceedings of the American Control Conference
Volume	3
Publication status	Published - 2002 Jan 1
Event	2002 American Control Conference - Anchorage, AK, United States Duration: 2002 May 8 → 2002 May 10

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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abstract = "We consider the H∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.",

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N2 - We consider the H∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

AB - We consider the H∞ control problem for discrete-time linear systems via low-order dynamic output feedback controllers. The existence condition of desirable controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix variable defining the controller and a Lyapunov matrix variable. To solve the BMI, we propose two sufficient conditions which result in LMIs, by using a block diagonal structure of the Lyapunov matrix variable.

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Y2 - 8 May 2002 through 10 May 2002

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Low-order H_∞ controller design for discrete-time linear systems

Abstract

ASJC Scopus subject areas

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