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An Application of Adaptive Control in the Behavioural Framework

An Application of Adaptive Control in the Behavioural Framework,10.1109/ICSEng.2011.17,Raphael Pfaff,Tomasz Larkowski,Keith Burnham

An Application of Adaptive Control in the Behavioural Framework  
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The behavioral framework for modelling and control is a framework that does not distinguish a priori between input and output of a system. Control in the behavioral framework does not make use of the intelligent control scheme consisting of observation of system output and feedback. Instead it relies on the interconnection of the to-be-controlled system to an appropriate controller, yielding the desired overall behaviour. In this paper, such a scheme is presented and compared to a feedback control scheme based on a numerical study. A focussed introduction into the behavioral framework with the concepts important for this paper is presented. In this paper, a scheme for adaptive control by inter- connection is presented. The most innovative aspect of the behavioral framework (BF) is the formulation of systems without a priori assumptions on the signal flow direction. Instead the signal variables are defined most generally by set membership. Control in the BF means the interconnection of a suitable controller to the plant in order to achieve the control objective. This results in a control scheme different from the omnipresent intelligent control scheme, consisting of output measurements and a feedback control law. The motivation for this work stems from two sources. One being the possibility to obtain an increased energy efficiency by recuperation of energy for control purposes, the other being the opportunities offered by interconnected controllers, for example applied to distributed power plants. While the BF and control by interconnection themselves both have appealing properties from a theoretical point of view, this work intends to show an approach closer to application. The application of dissipative control by interconnection is considered as a means to increase energy efficiency by reusage of energy present in the systems for control pur- poses. Furthermore, dissipative control by interconnection may be expected to offer some inherent robustness features due to its architecture. This, in turn, may be considered as an advantage for remotely installed systems such as offshore wind generators or small water power plants. These devices operate to gain energy but need control of some kind to protect the systems.
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