Model reduction of nonlinear systems subject to input disturbances

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The method of convex optimization is used as a tool for model reduction of a class of nonlinear systems in the presence of disturbances. It is shown that under some conditions the nonlinear disturbed system can be approximated by a reduced order nonlinear system with similar disturbance-output properties to the original plant. The proposed model reduction strategy preserves the nonlinearity and the input disturbance nature of the model. It guarantees a sufficiently small error between the outputs of the original and the reduced-order systems, and also maintains the properties of input-to-state stability. The matrices of the reduced order system are given in terms of a set of linear matrix inequalities (LMIs). The paper concludes with a demonstration of the proposed approach on model reduction of a nonlinear electronic circuit with additive disturbances.
Original languageEnglish (US)
Title of host publication2017 American Control Conference (ACC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3488-3493
Number of pages6
ISBN (Print)9781509059928
DOIs
StatePublished - Jul 10 2017

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