Mixed H2/H∞ robust output feedback control for uncertain linear systems

Huaining Wu; Yuanchun Fei

Mixed H₂/H_∞ robust output feedback control for uncertain linear systems

Huaining Wu^*
, Yuanchun Fei

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beijing Institute of Technology

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

1 Scopus citations

Abstract

The paper deals with the mixed H₂/H_∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H_∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H₂ cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.

Original language	English
Journal	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume	17
Issue number	3
State	Published - 2000

Keywords

Algebraic Riccati equation
Mixed H/H control
Output-feedback
Robustness
Uncertain linear systems

Cite this

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title = "Mixed H2/H∞ robust output feedback control for uncertain linear systems",

abstract = "The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.",

keywords = "Algebraic Riccati equation, Mixed H/H control, Output-feedback, Robustness, Uncertain linear systems",

author = "Huaining Wu and Yuanchun Fei",

year = "2000",

language = "英语",

volume = "17",

journal = "Kongzhi Lilun Yu Yingyong/Control Theory and Applications",

issn = "1000-8152",

publisher = "South China University of Technology",

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T1 - Mixed H2/H∞ robust output feedback control for uncertain linear systems

AU - Wu, Huaining

AU - Fei, Yuanchun

PY - 2000

Y1 - 2000

N2 - The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.

AB - The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.

KW - Algebraic Riccati equation

KW - Mixed H/H control

KW - Output-feedback

KW - Robustness

KW - Uncertain linear systems

UR - https://www.scopus.com/pages/publications/76549108199

M3 - 文章

AN - SCOPUS:76549108199

SN - 1000-8152

VL - 17

JO - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

JF - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

IS - 3

ER -

Mixed H₂/H_∞ robust output feedback control for uncertain linear systems

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Keywords

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