Observer design for one-sided Lipschitz discrete-time systems subject to delays and unknown inputs


Autoria(s): Nguyen, Minh Cuong; Trinh, Hieu
Data(s)

01/01/2016

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

http://hdl.handle.net/10536/DRO/DU:30084900

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