Observer design for one-sided Lipschitz nonlinear systems subject to measurement delays
type: Item
instance of: scholarly article
title: Observer design for one-sided Lipschitz nonlinear systems subject to measurement delays
zbMATH Open document ID: 1394.93028
DOI: 10.1155/2015/879492
author: Sohaira Ahmad
author: Raafia Majeed
author: Keum-Shik Hong
author: Muhammad Rehan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper presents a novel nonlinear observer-design approach to one-sided Lipschitz nonlinear systems in the presence of output delays. The crux of the approach is to overcome the practical consequences of time delays, encountered due to distant sensor position and time lag in measurement, for estimation of physical and engineering nonlinear system states. A Lyapunov-Krasovskii functional is employed, the time derivative of which is solved using Jensen's inequality, one-sided Lipschitz condition, and quadratic inner-boundedness, and, accordingly, design conditions for delay-range-dependent nonlinear observer for delayed one-sided Lipschitz systems are derived. Further, novel solutions to the problems of delay-dependent observer synthesis of one-sided Lipschitz models and delay-range-dependent state estimation of linear and Lipschitz nonlinear systems are deduced from the present delay-range-dependent technique. An observer formulation methodology for retrieval of one-sided Lipschitz nonlinear- system states, which is robust against \(L_2\) norm-bounded perturbations, is devised. The resultant design conditions, in contrast to the conventional procedures, can be solved via less conservative linear matrix inequality- (LMI-) based routines that succeed by virtue of additional LMI variables, meaningful transformations, and cone complementary linearization algorithm. Numerical examples are worked out to illustrate the effectiveness of the proposed observer-synthesis approach for delayed one-sided Lipschitz systems.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6927465
Wikidata QID: Q59119756
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/879492
OpenAlex ID: W1989008491
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description: scientific article; zbMATH DE number 6927465