A quasi-LMI approach to computing stabilizing parameter ranges of multi-loop PID controllers
Wang, Q.-G. Lin, C. Ye, Z. Wen, G. He, Y. Hang, C.C.
Ye, Z.
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Abstract
This paper addresses the problem of determining the parameter ranges of multi-loop PID (proportional-integral-derivative) controllers which stabilize a given process. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test. The descriptor model approach is employed together with linearly parameter-dependent Lyapunov function method. Examples are given for illustration. The results are believed to facilitate real time tuning of multi-loop PID controllers for practical applications. © 2006 Elsevier Ltd. All rights reserved.
Keywords
PID control, Robust stability, Uncertain systems
Source Title
Journal of Process Control
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Series/Report No.
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Date
2007-01
DOI
10.1016/j.jprocont.2006.08.006
Type
Article