Adaptive compensators for perturbed positive real infinite-dimensional systems

• Autorzy: Ruth F. Curtain , Michael A. Demetriou , Kazufumi Ito
• 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

adaptive controllers; positive real systems; infinite dimensional systems

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 4
• Strony: 441-452

Daty

wydano

2003

otrzymano

2002-09-05

poprawiono

2003-06-30

Twórcy

autor

Ruth F. Curtain

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

autor

Michael A. Demetriou

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

autor

Kazufumi Ito

• Center for Research in Scientific Computation, Box 8205 North Carolina State University, Raleigh, NC 276958205, USA

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