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Algebraic computations for design of nonlinear control systems

  • I. Use Of Symbolic Languages
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Algebraic Computing in Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 165))

Abstract

This paper describes computer algebra algorithms for the application of certain differential geometric tools to the analysis and design of nonlinear control systems. Feedback equivalence among nonlinear systems is used to linearise and thereby control certain classes of nonlinear control systems. Left and right invertibility of nonlinear systems is used to solve the output tracking problem. The algorithms include functions that perform basic differential geometric computations, two modules for study and analysis of nonlinear control systems, and two packages for the design of nonlinear controllers for the output tracking problem.

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Author information

Authors and Affiliations

  1. Systems Engineering Department, Case Western Reserve University, 44106, Cleveland, Ohio

    O. Akhrif

  2. Electrical Engineering Department and Systems Research Center, University of Maryland, 20742, College Park, Maryland

    G. L. Blankenship

Authors
  1. O. Akhrif
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  2. G. L. Blankenship
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Editor information

Gérard Jacob Françoise Lamnabhi-Lagarrigue

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© 1991 Springer-Verlag

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Akhrif, O., Blankenship, G.L. (1991). Algebraic computations for design of nonlinear control systems. In: Jacob, G., Lamnabhi-Lagarrigue, F. (eds) Algebraic Computing in Control. Lecture Notes in Control and Information Sciences, vol 165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006934

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  • DOI: https://doi.org/10.1007/BFb0006934

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54408-1

  • Online ISBN: 978-3-540-47603-0

  • eBook Packages: Springer Book Archive

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