Adaptive compensators for pertrubed positive real infinite-dimensional systems

• Autorzy: Curtain R. F. , Demetriou M. A. , Ito K.
• Języki publikacji: EN

Abstrakty

EN

The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinite-dimensional plants having a known exogenous input and a structured perturbation with an unknown constant parameter, such as the case of static output feedback with an unknown gain. The adaptive observer uses the nominal dynamics of the unperturbed plant and an adaptation law based on the Lyapunov redesign method. We obtain conditions on the system to ensure uniform boundedness of the estimator dynamics and the parameter estimates, and the convergence of the estimator error. For the case of a known periodic exogenous input we design an adaptive compensator which forces the system to converge to a unique periodic solution. We illustrate our approach with a delay example and a diffusion example for which we obtain convincing numerical results.

Słowa kluczowe

EN

infinite dimensional systems; positive real systems; adaptive controllers

PL

układ nieskończenie wymiarowy; układ rzeczywisty; kontroler adaptacyjny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 4
• Strony: 441--452
• Opis fizyczny: Bibliogr. 29 poz., wykr.

Twórcy

autor

Curtain R. F.

• Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands

autor

Demetriou M. A.

• Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester, MA 01609, USA

autor

Ito K.

• Center for Research in Scientific Computation, Box 8205, North Carolina State University, Raleigh, NC 27695-8205, USA

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