Model reduction of a class of discrete-time nonlinear systems

S. Ibrir and M. Bettayeb

Applied Mathematics and Computation, 2015, vol. 250, issue C, 78-93

Abstract: This paper considers the problem of model reduction of a class of discrete-time systems subject to Lipschitzian nonlinearities. It is shown that under some conditions the nonlinear system can be either approximated by a discrete-time linear time-invariant system or a nonlinear system of reduced order. The computation of the matrices of the reduced-order system is carried out through the solutions of a set of linear matrix inequalities. The proposed design is approved by the simulation of reduced-order dynamics of a mass-spring system subject to a nonlinear friction and a linear electric circuit with uncertain parameters.

Keywords: Model reduction; Discrete nonlinear systems; Convex optimization; Linear Matrix Inequalities (LMIs) (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314014386
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:78-93

DOI: 10.1016/j.amc.2014.10.063

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().