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Time-multiplied guaranteed cost control of linear delay systems

Time-multiplied guaranteed cost control of linear delay systems
Time-multiplied guaranteed cost control of linear delay systems
This paper investigates the design of guaranteed cost controllers for a class of linear systems with a state delay using a time-multiplied linear quadratic cost function. Based on delay-dependent and delay-independent stability criteria, guaranteed cost controllers can be constructed via solutions to linear matrix inequalities (LMIs) such that the resulting closed-loop system is stable and a specified time-multiplied linear integral-quadratic cost function has an upper bound. By the cone complementary linearization method, delay-dependent state feedback controllers can be derived in terms of LMIs. A numerical example is provided to demonstrate the effectiveness of the proposed method
0022-0434
061007 -[11pp]
Wang, Junling
83db6ee4-c427-4069-8bde-6c69b48f8235
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wang, Junling
83db6ee4-c427-4069-8bde-6c69b48f8235
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb

Wang, Junling, Lam, James, Xu, Shengyuan and Shu, Zhan (2008) Time-multiplied guaranteed cost control of linear delay systems. Journal of Dynamic Systems Measurement and Control, 130 (6), 061007 -[11pp]. (doi:10.1115/1.2977473).

Record type: Article

Abstract

This paper investigates the design of guaranteed cost controllers for a class of linear systems with a state delay using a time-multiplied linear quadratic cost function. Based on delay-dependent and delay-independent stability criteria, guaranteed cost controllers can be constructed via solutions to linear matrix inequalities (LMIs) such that the resulting closed-loop system is stable and a specified time-multiplied linear integral-quadratic cost function has an upper bound. By the cone complementary linearization method, delay-dependent state feedback controllers can be derived in terms of LMIs. A numerical example is provided to demonstrate the effectiveness of the proposed method

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More information

e-pub ahead of print date: September 2008
Published date: November 2008
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199805
URI: http://eprints.soton.ac.uk/id/eprint/199805
ISSN: 0022-0434
PURE UUID: 487f9b59-971e-4121-8242-27a42e19ac10
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 20 Oct 2011 14:38
Last modified: 14 Mar 2024 04:17

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Contributors

Author: Junling Wang
Author: James Lam
Author: Shengyuan Xu
Author: Zhan Shu ORCID iD

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