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.


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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 > Southampton Wireless Group
ePrint ID: 267030
Accepted Date and Publication Date:
November 2008Published
Date Deposited: 13 Jan 2009 13:09
Last Modified: 31 Mar 2016 14:14
Further Information:Google Scholar

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