Robust multiobserver design for discrete uncertain nonlinear systems with time-varying delay. (January 2018)

• Record Type: Journal Article
• Authors: Ben Atia, Samah; Messaoud, Anis; Ben Abdennour, Ridha
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 40:Number 1(2018)
• Page Start: 191
• Page End: 201
• Publication Date: 2018-01
• Subjects: Multiobserver -- time-varying delay -- norm-bounded uncertainties -- decoupled multimodel -- discrete nonlinear systems; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331216655397
• Languages: English
• ISSNs: 0142-3312

Abstract

In this paper, a robust multiobserver is proposed for the state estimation of discrete-time uncertain nonlinear systems with time-varying delay. The designed multiobserver is based on the decoupled multimodel approach. Unlike the classically used multimodel structures, the decoupled multimodel provides a flexibility of modelling. Indeed, the partial models' structures can be adapted to the complexity of the system in each operating regime, thus the partial models can be with different dimensions. Delay-dependent sufficient conditions for the synthesis of a robust multiobserver against norm-bounded parametric uncertainties and in the presence of measurement noise are established in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the designed multiobserver.