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.


[img] PDF (manuscript) - Published Version
Download (102Kb)


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.

Item Type: Article
ISSNs: 1932-2135
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 267030
Date Deposited: 13 Jan 2009 13:09
Last Modified: 27 Mar 2014 20:12
Further Information:Google Scholar
ISI Citation Count:0

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics