Study of numerical nonlinear control using piecewise linear system approximation

Peter Paul, Stephen Phillips

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

Abstract

For differential geometry based control, the approximation and control scheme studied attempts to resolve the difficulties of accurate modeling and inconvenient calculations by casting the original problem into a simpler form. Given data from the nonlinear system, its state-space is partitioned into cells and an affine-in-state model is determined for each cell by least squares identification. The cell models then constitute an overall piecewise linear system model. Feedback linearization techniques are then performed on the piecewise linear model. The calculations needed to perform the feedback linearization within each cell are shown to be in a simple generic form. The overall controller is formed by joining the individual cell controllers. The results of implementing this control scheme on an example second order nonlinear system show that the resulting controller's performance approaches that of the standard input-state linearization controller.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherAmerican Automatic Control Council
Pages1344-1348
Number of pages5
Volume2
StatePublished - 1994
Externally publishedYes
EventProceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA
Duration: Jun 29 1994Jul 1 1994

Other

OtherProceedings of the 1994 American Control Conference. Part 1 (of 3)
CityBaltimore, MD, USA
Period6/29/947/1/94

Fingerprint

Linear systems
Controllers
Feedback linearization
Nonlinear systems
Linearization
Joining
Identification (control systems)
Casting
Geometry

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Paul, P., & Phillips, S. (1994). Study of numerical nonlinear control using piecewise linear system approximation. In Proceedings of the American Control Conference (Vol. 2, pp. 1344-1348). American Automatic Control Council.

Study of numerical nonlinear control using piecewise linear system approximation. / Paul, Peter; Phillips, Stephen.

Proceedings of the American Control Conference. Vol. 2 American Automatic Control Council, 1994. p. 1344-1348.

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

Paul, P & Phillips, S 1994, Study of numerical nonlinear control using piecewise linear system approximation. in Proceedings of the American Control Conference. vol. 2, American Automatic Control Council, pp. 1344-1348, Proceedings of the 1994 American Control Conference. Part 1 (of 3), Baltimore, MD, USA, 6/29/94.
Paul P, Phillips S. Study of numerical nonlinear control using piecewise linear system approximation. In Proceedings of the American Control Conference. Vol. 2. American Automatic Control Council. 1994. p. 1344-1348
Paul, Peter ; Phillips, Stephen. / Study of numerical nonlinear control using piecewise linear system approximation. Proceedings of the American Control Conference. Vol. 2 American Automatic Control Council, 1994. pp. 1344-1348
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