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Output-feedback control for continuous-time interval positive systems under L1 performance

Output-feedback control for continuous-time interval positive systems under L1 performance
Output-feedback control for continuous-time interval positive systems under L1 performance
This paper is concerned with the design of an L1-induced output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and an L1-induced performance of interval positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust static output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. For special single-input-multiple-output (SIMO) positive systems, the problem of controller synthesis is completely solved with the help of an analytical formula for the L1-induced norm. An illustrative example is provided to show the effectiveness and applicability of the theoretical results.
1561-8625
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 (2013) Output-feedback control for continuous-time interval positive systems under L1 performance. Asian Journal of Control. (doi:10.1002/asjc.808). (In Press)

Record type: Article

Abstract

This paper is concerned with the design of an L1-induced output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and an L1-induced performance of interval positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust static output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. For special single-input-multiple-output (SIMO) positive systems, the problem of controller synthesis is completely solved with the help of an analytical formula for the L1-induced norm. An illustrative example is provided to show the effectiveness and applicability of the theoretical results.

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More information

Accepted/In Press date: 30 October 2013
Organisations: Mechatronics

Identifiers

Local EPrints ID: 368118
URI: http://eprints.soton.ac.uk/id/eprint/368118
ISSN: 1561-8625
PURE UUID: 82bde50e-9619-4eec-a0d8-cfc50dbe9251
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 29 Aug 2014 13:47
Last modified: 14 Mar 2024 17:42

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Contributors

Author: Xiaoming Chen
Author: James Lam
Author: Ping Li
Author: Zhan Shu ORCID iD

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