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Controller synthesis for positive systems under ?1-induced performance

Controller synthesis for positive systems under ?1-induced performance
Controller synthesis for positive systems under ?1-induced performance
In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the l1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed l1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results.
978-1-4577-2073-4
92-97
Chen, Xiaoming
593009e9-709e-42d5-b6f3-4adaef0cefc0
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Li, Ping
84293437-7ab4-4c22-b68b-937bfc57ee15
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Chen, Xiaoming
593009e9-709e-42d5-b6f3-4adaef0cefc0
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Li, Ping
84293437-7ab4-4c22-b68b-937bfc57ee15
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb

Chen, Xiaoming, Lam, James, Li, Ping and Shu, Zhan (2012) Controller synthesis for positive systems under ?1-induced performance. The 24th Chinese Control and Decision Conference, China. 23 - 25 May 2012. pp. 92-97 . (doi:10.1109/CCDC.2012.6244014).

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the l1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed l1-induced performance. Based on the characterization, a necessary and sufficient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results.

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More information

Published date: 23 May 2012
Venue - Dates: The 24th Chinese Control and Decision Conference, China, 2012-05-23 - 2012-05-25
Organisations: Mechatronics

Identifiers

Local EPrints ID: 354862
URI: https://eprints.soton.ac.uk/id/eprint/354862
ISBN: 978-1-4577-2073-4
PURE UUID: 8b980b20-f859-4742-944c-eea51c53b1a4
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 07 Aug 2013 08:44
Last modified: 06 Jun 2018 12:30

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