Adaptive PID Design Exploiting Partial Prior Information

Independent of the original design strategy, linear time-invariant controllers maybe viewed as generated from plant models. PID controllers, for example, are implicitly associated with second order models. The induced modelling errors place limitations on the achievable closed loop bandwidth. We cal...

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Bibliographic Details
Published inIFAC Proceedings Volumes Vol. 25; no. 14; pp. 41 - 46
Main Authors Graebe, S.F., Goodwin, G.C.
Format Journal Article
LanguageEnglish
Published 01.07.1992
Subjects
Adaptive Control
Grey Box Identification
Least Squares Estimation
PID Control
Robust Control
Stochastic Embedding
Undermodelling
Undermodelling
Grey Box Identification
PID Control
Adaptive Control
Robust Control
Least Squares Estimation
Stochastic Embedding
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Summary:Independent of the original design strategy, linear time-invariant controllers maybe viewed as generated from plant models. PID controllers, for example, are implicitly associated with second order models. The induced modelling errors place limitations on the achievable closed loop bandwidth. We call these limitations model limitations. On the other hand, delays and saturations also dictate bandwidth limitations. We call these limitations plant limitations. This distinction has interesting implications for the design of robust PID control laws and also indicates whether higher order controllers or adaptation will be beneficial. Grey box estimation emerges as a mechanism that provides faster estimator transients at the cost of potential model bias which may well be insignificant in view of plant limitations.
ISSN:1474-6670
DOI:10.1016/S1474-6670(17)50710-7