Robust PID controller design via LMI approach

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 th...

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Bibliographic Details
Published in:Journal of process control 2002, Vol.12 (1), p.3-13
Main Authors: Ge, Ming, Chiu, Min-Sen, Wang, Qing-Guo
Format: Article
Language:English
Subjects:
Linear matrix inequalities (LMI)
Multiple-model
PID
Time-delay
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Summary: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.
ISSN:0959-1524
1873-2771
DOI:10.1016/S0959-1524(00)00057-3