- Title
- On sampled-data models for nonlinear systems
- Creator
- Yuz, Juan; Goodwin, Graham C.
- Relation
- IEEE Transactions on Automatic Control Vol. 50, no. 10, p. 1477-1489
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2005
- Description
- Models for deterministic continuous-time nonlinear systems typically take the form of ordinary differential equations. To utilize these models in practice invariably requires discretization. In this paper, we show how an approximate sampled-data model can be obtained for deterministic nonlinear systems such that the local truncation error between the output of this model and the true system is of order Delta(r+1), where A is the sampling period and r is the system relative degree. The resulting model includes extra zero dynamics which have no counterpart in the underlying continuous-time system. The ideas presented here generalize well-known results for the linear case. We also explore the implications of these results in nonlinear system identification.
- Subject
- nonlinear systems; sampled data models; sampling zeros; system; identification; zero dynamics; discrete time systems; feedback linearization; stabilization; zeros; framework
- Identifier
- http://hdl.handle.net/1959.13/24550
- Identifier
- uon:661
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 2005 IEEE. Reprinted from IEEE Transactions on Automatic Control, Vol. 50, no. 10, p. 1477-1489. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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