Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627181 | Applied Mathematics and Computation | 2015 | 16 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Ibrir, M. Bettayeb,