NDLI: Sliding mode control of retarded nonlinear systems via finite spectrum assignment approach

Content Provider	IEEE Xplore Digital Library
Author	Oguchi, T. Kawata, S. Richard, J.-P.
Copyright Year	2002
Description	Author affiliation: Graduate Sch. of Eng., Tokyo Metropolitan Univ., Japan (Oguchi, T.)
Abstract	In this study, a sliding mode control design method based on the finite spectrum assignment procedure is proposed. The finite spectrum assignment for retarded nonlinear systems can transform retarded nonlinear systems into delay-free linear systems by using a coordinates transformation and a feedback, which contain the past values of the state. This method can be considered as an extension of both the finite spectrum assignment for retarded linear systems with controllability over polynomial rings of the delay operator and the exact linearization for finite dimensional nonlinear systems. The proposed method here is to design a sliding surface by using the coordinates transformation used in the finite spectrum assignment and to derive a switching feedback law. The obtained surface contains not only the current values of the state variables but also the past values of the state variables in the original coordinates. Effectiveness of the proposed method is tested by an illustrative example.
Sponsorship	IEEE Control Syst. Soc
Starting Page	999
Ending Page	1004
File Size	373822
Page Count	6
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184640
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sliding mode control Nonlinear systems Linear systems Design methodology Delay systems Delay lines State feedback Controllability Polynomials Testing
Content Type	Text
Resource Type	Article

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