Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0959-1524(00)00057-3
Title: Robust PID controller design via LMI approach
Authors: Ge, M.
Chiu, M.-S. 
Wang, Q.-G. 
Keywords: Linear matrix inequalities (LMI)
Multiple-model
PID
Time-delay
Issue Date: Jan-2002
Source: Ge, M., Chiu, M.-S., Wang, Q.-G. (2002-01). Robust PID controller design via LMI approach. Journal of Process Control 12 (1) : 3-13. ScholarBank@NUS Repository. https://doi.org/10.1016/S0959-1524(00)00057-3
Abstract: In this paper, a method which allows explicit incorporation of the description of system uncertainties in the problem formulation for designing robust proportional-integal-derivative (PID) controller is presented. The multiple-model paradigm is employed to represent the uncertainties and provides the basis for the PID controller design. Using standard techniques, the robust PID controller design is reduced to a convex constraint problem which can be efficiently solved with linear matrix inequalities (LMIs) approach. Various practical specifications are considered simultaneously within this framework. Extension to system with time-delays, which follows naturally from the preceding development, is also discussed. Two examples are used to demonstrate the effectiveness of the proposed method and a comparison with the existing PID tuning methods is made. © 2001 Elsevier Science Ltd. All rights reserved.
Source Title: Journal of Process Control
URI: http://scholarbank.nus.edu.sg/handle/10635/51029
ISSN: 09591524
DOI: 10.1016/S0959-1524(00)00057-3
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