The University of Southampton
University of Southampton Institutional Repository

Single-input and single-output (SISO) controller reduction based on the $L_1$-norm

Yang, Y., Wu, J., Xiong, R., Xu, W. and Chen, Sheng (2008) Single-input and single-output (SISO) controller reduction based on the $L_1$-norm. Asia-Pacific Journal of Chemical Engineering, 3 (6), 688-694.

Record type: Article

Abstract

This paper proposes a new method to solve the controller-reduction problem based on the $L_1$-norm. This method uses a reduced-order closed-loop system to deduce reduced-order controllers. The problem of obtaining the required lower-order closed-loop system was formulated as an $L_1$-norm optimization, and the conditions were provided for guaranteeing the internal stability and the existence of lower-order controllers from the obtained reduced-order closed-loop system. In addition, the particle swarm optimization and sequence linear programming were adopted to solve the resultant $L_1$-norm optimization. Two numerical examples demonstrated the effectiveness of the proposed method.

Text
APJCE-08.pdf - Version of Record

Published date: November 2008
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 267030
URI: http://eprints.soton.ac.uk/id/eprint/267030
ISSN: 1932-2135
PURE UUID: f70a37e4-5511-48d5-92da-06137a0e346c

Catalogue record

Date deposited: 13 Jan 2009 13:09

Contributors

Author: Y. Yang
Author: J. Wu
Author: R. Xiong
Author: W. Xu
Author: Sheng Chen