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Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates

Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates
Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates
Based on sliding-mode-control theory, we develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by Takagi-Sugeno (T-S) fuzzy models. In terms of linear-matrix inequalities (LMIs), we derive a sufficient condition for the existence of stabilizing sliding-mode controllers. We show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems. We also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally, we give a numerical-design example to show that our method can be better than the previous results
0165-0114
979-984
Zhang, Baoyong
9e2e93b4-ecd8-4354-a4f4-8c132adafc8b
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Zhang, Baoyong
9e2e93b4-ecd8-4354-a4f4-8c132adafc8b
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb

Zhang, Baoyong, Lam, James, Xu, Shengyuan and Shu, Zhan (2009) Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates. Fuzzy Sets and Systems, 16 (12), 979-984. (doi:10.1016/j.fss.2008.10.015).

Record type: Article

Abstract

Based on sliding-mode-control theory, we develop a fuzzy controller design method for a class of uncertain time-delay systems that can be represented by Takagi-Sugeno (T-S) fuzzy models. In terms of linear-matrix inequalities (LMIs), we derive a sufficient condition for the existence of stabilizing sliding-mode controllers. We show that the sliding-surface parameter matrix can be characterized in terms of the solution of the LMI-existence condition. Our LMI condition does not require stabilization of the pair of the state and input matrices. Thus, our method can be applied to a broad class of uncertain systems. We also give an LMI-based algorithm to design a switching feedback-control strategy so that a stable sliding motion is induced in finite time. Finally, we give a numerical-design example to show that our method can be better than the previous results

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e-pub ahead of print date: 20 November 2008
Published date: 16 June 2009
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199735
URI: http://eprints.soton.ac.uk/id/eprint/199735
ISSN: 0165-0114
PURE UUID: 334a4469-a177-4e26-adab-a63917aab8b8
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

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Date deposited: 20 Oct 2011 10:38
Last modified: 14 Mar 2024 04:16

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Contributors

Author: Baoyong Zhang
Author: James Lam
Author: Shengyuan Xu
Author: Zhan Shu ORCID iD

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