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Mixed H_2/H_infinity Control of Discrete-Time Markovian Jump Systems Via Static Output-Feedback Cont

Mixed H_2/H_infinity Control of Discrete-Time Markovian Jump Systems Via Static Output-Feedback Cont
Mixed H_2/H_infinity Control of Discrete-Time Markovian Jump Systems Via Static Output-Feedback Cont
This paper investigates the static output-feedback mixed H_2/H_infinity control problem of discrete-time Markovian jump systems from a novel perspective. Unlike traditional methods, the closed-loop system is represented as an augmented form, in which input and gain-output matrices are decoupled. By virtue of the augmented representation, new characterizations on stochastic stability and H2/H1 performance of the closed-loop system are established in terms of matrix inequalities. Based on these, a sufficient condition with redundant matrices for the existence of the mode-dependent controller is proposed, and an iteration algorithm is given to solve the condition. An extension to the mode-independent case is provided as well
978-3-902661-00-5
5909-5914
Zhan, Shu
70676e17-d01f-4f2c-8f68-776cb2635149
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xiong, Junlin
cf42aeb2-2730-4cf8-9d28-3c9c4882e4e7
Chung, Myung jin
c4bbfc4e-d9e2-4e3e-a05e-46e3fe223c8b
Misra, Pradeep
6bcb48a0-76ef-4f01-87fc-c984e2d614ee
Zhan, Shu
70676e17-d01f-4f2c-8f68-776cb2635149
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xiong, Junlin
cf42aeb2-2730-4cf8-9d28-3c9c4882e4e7
Chung, Myung jin
c4bbfc4e-d9e2-4e3e-a05e-46e3fe223c8b
Misra, Pradeep
6bcb48a0-76ef-4f01-87fc-c984e2d614ee

Zhan, Shu, Lam, James and Xiong, Junlin (2008) Mixed H_2/H_infinity Control of Discrete-Time Markovian Jump Systems Via Static Output-Feedback Cont. Chung, Myung jin and Misra, Pradeep (eds.) 17th IFAC World Congress, Seoul, Korea, Republic of. 06 - 11 Jul 2008. pp. 5909-5914 . (doi:10.3182/20080706-5-KR-1001.00997).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper investigates the static output-feedback mixed H_2/H_infinity control problem of discrete-time Markovian jump systems from a novel perspective. Unlike traditional methods, the closed-loop system is represented as an augmented form, in which input and gain-output matrices are decoupled. By virtue of the augmented representation, new characterizations on stochastic stability and H2/H1 performance of the closed-loop system are established in terms of matrix inequalities. Based on these, a sufficient condition with redundant matrices for the existence of the mode-dependent controller is proposed, and an iteration algorithm is given to solve the condition. An extension to the mode-independent case is provided as well

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More information

Published date: 2008
Venue - Dates: 17th IFAC World Congress, Seoul, Korea, Republic of, 2008-07-06 - 2008-07-11
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199991
URI: http://eprints.soton.ac.uk/id/eprint/199991
ISBN: 978-3-902661-00-5
PURE UUID: b9bdca96-0e7c-49e5-a3c4-be5533425334

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Date deposited: 26 Oct 2011 10:47
Last modified: 14 Mar 2024 04:18

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Contributors

Author: Shu Zhan
Author: James Lam
Author: Junlin Xiong
Editor: Myung jin Chung
Editor: Pradeep Misra

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