Global stabilisation of nonlinear delay systems with a compact absorbing set |
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Authors: | Iasson Karafyllis Miroslav Krstic Tarek Ahmed-Ali Francoise Lamnabhi-Lagarrigue |
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Affiliation: | 1. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greeceiasonkar@central.ntua.gr;3. Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, USA.;4. Laboratoire GREYC CNRS-ENSICAEN, 06 Boulevard du Marechal Juin, 14050 Caen Cedex, France;5. Centre National de la Recherche Scientifique, CNRS-EECI SUPELEC, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France |
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Abstract: | Predictor-based stabilisation results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal controller for the delay-free case. The control scheme is applicable even to the case where the measurement is sampled and possibly delayed. The input and measurement delays can be arbitrarily large but both of them must be constant and accurately known. The closed-loop system is shown to have the properties of global asymptotic stability and exponential convergence in the disturbance-free case, robustness with respect to perturbations of the sampling schedule, and robustness with respect to measurement errors. In contrast to existing predictor feedback laws, the proposed control scheme utilises an approximate predictor of a dynamic type that is expressed by a system described by integral delay equations. Additional results are provided for systems that can be transformed to systems with a compact absorbing set by means of a preliminary predictor feedback. |
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Keywords: | nonlinear systems predictor feedback delay systems |
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