NDLI: Model Reduction for Nonlinear Systems by Incremental Balanced Truncation

Content Provider	IEEE Xplore Digital Library
Author	Besselink, B. van de Wouw, N. Scherpen, J.M.A. Nijmeijer, H.
Copyright Year	1963
Abstract	In this paper, the method of incremental balanced truncation is introduced as a tool for model reduction of nonlinear systems. Incremental balanced truncation provides an extension of balanced truncation for linear systems towards the nonlinear case and differs from existing nonlinear balancing techniques in the definition of two novel energy functions. These incremental observability and incremental controllability functions form the basis for a model reduction procedure in which the preservation of stability properties is guaranteed. In particular, the property of incremental stability, which provides a notion of stability for systems with nonzero inputs, is preserved. Moreover, a computable error bound is given. Next, an extension towards so-called generalized incremental balanced truncation is proposed, which provides a reduction technique with increased computational feasibility at the cost of a (potentially) larger error bound. The proposed reduction technique is illustrated by means of application to an example of an electronic circuit with nonlinear elements.
Sponsorship	IEEE Control Systems Society
Starting Page	2739
Ending Page	2753
Page Count	15
File Size	575538
File Format	PDF
ISSN	00189286
Volume Number	59
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Observability Controllability Stability analysis Reduced order systems Asymptotic stability Nonlinear systems Trajectory Incremental balanced truncation
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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