Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2003.10.008
Title: An improvement on multivariable PID controller design via iterative LMI approach
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
Keywords: Descriptor systems
Norm-bounded perturbation
PID control
Static output feedback
Issue Date: Mar-2004
Source: Lin, C., Wang, Q.-G., Lee, T.H. (2004-03). An improvement on multivariable PID controller design via iterative LMI approach. Automatica 40 (3) : 519-525. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2003.10.008
Abstract: This note improves the results of Zheng, Wang, and Lee (Automatica 38 (2002) 517) on the design of multivariable PID controllers via LMI approach. The idea of the improvement is to transform the problem of PID controller design to that of static output feedback (SOF) controller design for a system in descriptor form. The merits of the present result are: (1) The present condition removes the invertibility constraint on the controllers in Zheng et al. (2002) and incorporates it to the matrix inequality to be solved. (2) Once the SOF matrix is obtained, the PID gains are ready in hand and no additional computation is needed. (3) The present approach can deal with the case of some system parameters subject to perturbations. © 2003 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/55027
ISSN: 00051098
DOI: 10.1016/j.automatica.2003.10.008
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