Asynchronous output-feedback stabilization of discrete-time
Markovian jump linear systems
Asynchronous output-feedback stabilization of discrete-time
Markovian jump linear systems
Various constraints on signal processing and transmission in practice have posed a big issue to perfect synchronous switching control for Markovian jump linear systems (MJLSs), and thus designing a controller partially or totally independent of the plant switching becomes significant. In this paper, we propose an approach to synthesizing asynchronous switching control laws for discrete-time MJLSs. By utilizing a separation technique, a necessary and sufficient condition for asynchronous static output-feedback stabilizability is established in terms of a set of matrix inequality with a special structure for computation. Then, an iterative algorithm is employed to solve the condition. Appropriate optimization on initial values may improve the solvability. Numerical examples are provided to illustrate the effectiveness of the proposed approach.
978-1-4673-2065-8
1307-1312
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Xiong, Julin
e370481f-bdc6-436e-bf53-24ec2cb594d2
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
10 December 2012
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Xiong, Julin
e370481f-bdc6-436e-bf53-24ec2cb594d2
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan, Xiong, Julin and Lam, James
(2012)
Asynchronous output-feedback stabilization of discrete-time
Markovian jump linear systems.
The 50th IEEE Conference on Decision and Control, Maui County, United States.
.
(doi:10.1109/CDC.2012.6426362).
Record type:
Conference or Workshop Item
(Paper)
Abstract
Various constraints on signal processing and transmission in practice have posed a big issue to perfect synchronous switching control for Markovian jump linear systems (MJLSs), and thus designing a controller partially or totally independent of the plant switching becomes significant. In this paper, we propose an approach to synthesizing asynchronous switching control laws for discrete-time MJLSs. By utilizing a separation technique, a necessary and sufficient condition for asynchronous static output-feedback stabilizability is established in terms of a set of matrix inequality with a special structure for computation. Then, an iterative algorithm is employed to solve the condition. Appropriate optimization on initial values may improve the solvability. Numerical examples are provided to illustrate the effectiveness of the proposed approach.
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Published date: 10 December 2012
Venue - Dates:
The 50th IEEE Conference on Decision and Control, Maui County, United States, 2013-12-10
Organisations:
Mechatronics
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Local EPrints ID: 354863
URI: http://eprints.soton.ac.uk/id/eprint/354863
ISBN: 978-1-4673-2065-8
PURE UUID: 5c0dcc66-14ca-4e24-9f04-a28626872da4
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Date deposited: 07 Aug 2013 08:53
Last modified: 14 Mar 2024 14:25
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Author:
Zhan Shu
Author:
Julin Xiong
Author:
James Lam
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