Robust mixed H2/H∞ state-feedback control for continuous-time descriptor systems with parameter uncertainties

Yuanqing Xia; Peng Shi; Guoping Liu; David Rees

doi:10.1007/s00034-004-0917-2

Robust mixed H₂/H_∞ state-feedback control for continuous-time descriptor systems with parameter uncertainties

Yuanqing Xia^*
, Peng Shi
, Guoping Liu
, David Rees

^*Corresponding author for this work

University of South Wales
Beijing Institute of Technology

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

33 Citations (Scopus)

Abstract

In this paper, the problem of robust mixed H₂/H_∞ control for a class of continuous-time descriptor systems with norm-bounded parameter uncertainties is investigated. Sufficient conditions in terms of linear matrix inequalities are given for the existence of a state-feedback controller that minimizes an upper bound of the H₂-norm of the transfer matrix subject to an H_∞-norm constraint. A numerical example is given to show the potential of the proposed methods.

Original language	English
Pages (from-to)	431-443
Number of pages	13
Journal	Circuits, Systems, and Signal Processing
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s00034-004-0917-2
Publication status	Published - Aug 2005
Externally published	Yes

Keywords

Linear matrix inequality
Mixed H/H control
Robustness
State feedback
Uncertain descriptor systems

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10.1007/s00034-004-0917-2

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abstract = "In this paper, the problem of robust mixed H2/H∞ control for a class of continuous-time descriptor systems with norm-bounded parameter uncertainties is investigated. Sufficient conditions in terms of linear matrix inequalities are given for the existence of a state-feedback controller that minimizes an upper bound of the H2-norm of the transfer matrix subject to an H∞-norm constraint. A numerical example is given to show the potential of the proposed methods.",

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AB - In this paper, the problem of robust mixed H2/H∞ control for a class of continuous-time descriptor systems with norm-bounded parameter uncertainties is investigated. Sufficient conditions in terms of linear matrix inequalities are given for the existence of a state-feedback controller that minimizes an upper bound of the H2-norm of the transfer matrix subject to an H∞-norm constraint. A numerical example is given to show the potential of the proposed methods.

KW - Linear matrix inequality

KW - Mixed H/H control

KW - Robustness

KW - State feedback

KW - Uncertain descriptor systems

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Robust mixed H₂/H_∞ state-feedback control for continuous-time descriptor systems with parameter uncertainties

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Keywords

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