Title :
Functional observers design with unknown inputs for delayed singular systems: The discrete-time case
Author :
Khadhraoui, M. ; Ezzine, M. ; Messaoud, Hassani ; Darouach, Mohamed
Author_Institution :
Ecole Nat. d´Ing. de Monastir, Lab. de Rech. LARATSI, Univ. de Monastir, Monastir, Tunisia
Abstract :
This paper investigates a discrete-time domain design of unknown input functional observer (UIFO) for discrete-time linear singular delayed systems. Note that both constant and variable delays are considered. The main procedure is based on Lyapunov-Krasovskii stability theory, where the optimal gain in the functional observer is a solution of linear matrix inequalities (LMIs). Sufficient conditions for observer stability are proposed. The effectiveness of the proposed approach is illustrated by a numerical example.
Keywords :
Lyapunov methods; delay systems; discrete time systems; linear matrix inequalities; linear systems; observers; stability; LMIs; Lyapunov-Krasovskii stability theory; UIFO; constant delays; discrete-time domain design; discrete-time linear singular delayed systems; linear matrix inequalities; observer stability; optimal gain; sufficient conditions; unknown input functional observer design; variable delays; Delays; Linear matrix inequalities; Numerical stability; Observers; Stability criteria; Time-domain analysis; Stability; delay; linear systems; observer; optimal;
Conference_Titel :
Control and Automation (MED), 2014 22nd Mediterranean Conference of
Conference_Location :
Palermo
Print_ISBN :
978-1-4799-5900-6
DOI :
10.1109/MED.2014.6961359
