Delay-dependent H∞control for LPV systems with mixed time-varying delays

Jun Ling Wang; Chang Hong Wang

doi:10.1109/ICMLC.2004.1380767

Delay-dependent H_∞control for LPV systems with mixed time-varying delays

Jun Ling Wang^*
, Chang Hong Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

This paper focuses on the problem of H_∞ control for neutral linear parameter-varying systems with mixed time-varying delays. A delay-dependent bounded real lemma is described in terms of parameterized linear matrix inequalities. Based on the bounded real lemma obtained, sufficient conditions for the existence of H_∞ control are presented in terms of nonlinear matrix inequalities. To solve these nonlinear matrix inequalities, an iterative algorithm involving convex optimisation is proposed. Numerical example is provided to illustrate the applicability of the new theory.

Original language	English
Title of host publication	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	626-631
Number of pages	6
ISBN (Print)	0780384032, 9780780384033
DOIs	https://doi.org/10.1109/ICMLC.2004.1380767
State	Published - 2004
Event	3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004 - Shanghai, China Duration: 26 Aug 2004 → 29 Aug 2004

Publication series

Name	Proceedings of 2004 International Conference on Machine Learning and Cybernetics
Volume	1

Conference

Conference	3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004
Country/Territory	China
City	Shanghai
Period	26/08/04 → 29/08/04

Keywords

Delay
Linear parameter-varying system
Neutral
Parameterized linear matrix inequality

Access to Document

10.1109/ICMLC.2004.1380767

Cite this

Wang, J. L., & Wang, C. H. (2004). Delay-dependent H_∞control for LPV systems with mixed time-varying delays. In Proceedings of 2004 International Conference on Machine Learning and Cybernetics (pp. 626-631). (Proceedings of 2004 International Conference on Machine Learning and Cybernetics; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMLC.2004.1380767

@inproceedings{85a864ae633a4598a7a35dba68a6f920,

title = "Delay-dependent H∞control for LPV systems with mixed time-varying delays",

abstract = "This paper focuses on the problem of H∞ control for neutral linear parameter-varying systems with mixed time-varying delays. A delay-dependent bounded real lemma is described in terms of parameterized linear matrix inequalities. Based on the bounded real lemma obtained, sufficient conditions for the existence of H∞ control are presented in terms of nonlinear matrix inequalities. To solve these nonlinear matrix inequalities, an iterative algorithm involving convex optimisation is proposed. Numerical example is provided to illustrate the applicability of the new theory.",

keywords = "Delay, Linear parameter-varying system, Neutral, Parameterized linear matrix inequality",

author = "Wang, \{Jun Ling\} and Wang, \{Chang Hong\}",

year = "2004",

doi = "10.1109/ICMLC.2004.1380767",

language = "英语",

isbn = "0780384032",

series = "Proceedings of 2004 International Conference on Machine Learning and Cybernetics",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "626--631",

booktitle = "Proceedings of 2004 International Conference on Machine Learning and Cybernetics",

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note = "3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004 ; Conference date: 26-08-2004 Through 29-08-2004",

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Wang, JL & Wang, CH 2004, Delay-dependent H_∞control for LPV systems with mixed time-varying delays. in Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Proceedings of 2004 International Conference on Machine Learning and Cybernetics, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 626-631, 3rd International Conference on Machine Learning and Cybernetics, ICMLC 2004, Shanghai, China, 26/08/04. https://doi.org/10.1109/ICMLC.2004.1380767

Delay-dependent H_∞control for LPV systems with mixed time-varying delays. / Wang, Jun Ling; Wang, Chang Hong.
Proceedings of 2004 International Conference on Machine Learning and Cybernetics. Institute of Electrical and Electronics Engineers Inc., 2004. p. 626-631 (Proceedings of 2004 International Conference on Machine Learning and Cybernetics; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper focuses on the problem of H∞ control for neutral linear parameter-varying systems with mixed time-varying delays. A delay-dependent bounded real lemma is described in terms of parameterized linear matrix inequalities. Based on the bounded real lemma obtained, sufficient conditions for the existence of H∞ control are presented in terms of nonlinear matrix inequalities. To solve these nonlinear matrix inequalities, an iterative algorithm involving convex optimisation is proposed. Numerical example is provided to illustrate the applicability of the new theory.

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