Observer design for one-sided Lipschitz discrete-time systems subject to delays and unknown inputs
Data(s) |
01/01/2016
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Resumo |
In this paper, we address the problem of observer design for a class of nonlinear discrete-time systems in the presence of delays and unknown inputs. The nonlinearities studied in this work satisfy the one-sided Lipschitz and quadratically inner-bounded conditions which are more general than the traditional Lipschitz conditions. Both H∞ observer design and asymptotic observer design with reduced-order are considered. The designs are novel compared to other relevant nonlinear observer designs subject to time delays and disturbances in the literature. In order to deal with the time-delay issue as well as the bilinear terms which usually appear in the problem of designing observers for discrete-time systems, several mathematical techniques are utilized to deduce observer synthesis conditions in the linear matrix inequalities form. A numerical example is given to demonstrate the effectiveness and high performance of our results. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Society for Industrial and Applied Mathematics |
Relação |
DP130101532 http://dro.deakin.edu.au/eserv/DU:30084900/nguyen-observerdesign-2016.pdf http://dro.deakin.edu.au/eserv/DU:30084900/nguyen-observerdesign-inpress-2016.pdf http://www.dx.doi.org/10.1137/15M1030182 |
Direitos |
2016, Society for Industrial and Applied Mathematics |
Palavras-Chave | #nonlinear observers #one-sided Lipschitz condition #discrete-time nonlinear systems #time-delay systems #unknown inputs #linear matrix inequality #LMI |
Tipo |
Journal Article |