On reachable sets for positive linear systems under constrained exogenous inputs
On reachable sets for positive linear systems under constrained exogenous inputs
This paper focuses on positive linear time-invariant systems with constant coefficients and specific exogenous disturbance. The problem of finding a hyper-pyramid to bound the set of the states that are reachable from the origin in the Euclidean space is addressed, subject to inputs whose View the MathML source(1,1)-norm or View the MathML source(?,1)-norm is bounded by a prescribed constant. The Lyapunov approach is applied and a bounding hyper-pyramid is obtained by solving a set of inequalities. Iterative procedures (with an adjustable parameter) for reducing the hyper-volume of the bounding hyper-pyramid for the reachable set are proposed.
230-237
Du, Baozhu
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Lam, James
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Shu, Zhan
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Chen, Yong
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October 2016
Du, Baozhu
aaaf0aa4-111f-4912-b78e-bf7a841d5728
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Chen, Yong
080582eb-3fa5-414c-bb62-1c60b2fe6498
Du, Baozhu, Lam, James, Shu, Zhan and Chen, Yong
(2016)
On reachable sets for positive linear systems under constrained exogenous inputs.
Automatica, 74, .
(doi:10.1016/j.automatica.2016.07.048).
Abstract
This paper focuses on positive linear time-invariant systems with constant coefficients and specific exogenous disturbance. The problem of finding a hyper-pyramid to bound the set of the states that are reachable from the origin in the Euclidean space is addressed, subject to inputs whose View the MathML source(1,1)-norm or View the MathML source(?,1)-norm is bounded by a prescribed constant. The Lyapunov approach is applied and a bounding hyper-pyramid is obtained by solving a set of inequalities. Iterative procedures (with an adjustable parameter) for reducing the hyper-volume of the bounding hyper-pyramid for the reachable set are proposed.
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15-1403_03_MS.pdf
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Accepted/In Press date: 7 July 2016
e-pub ahead of print date: 3 October 2016
Published date: October 2016
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 397968
URI: http://eprints.soton.ac.uk/id/eprint/397968
ISSN: 0005-1098
PURE UUID: 023aa668-db2f-48b3-bc4f-b08b714be713
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Date deposited: 13 Jul 2016 09:16
Last modified: 15 Mar 2024 05:44
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Contributors
Author:
Baozhu Du
Author:
James Lam
Author:
Zhan Shu
Author:
Yong Chen
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