Systematic normal form approach to feedback linearize a class of nonlinear systems

S. Talwar, N Sri Namachchivaya, P. Voulgaris

Research output: Contribution to conferencePaper

Abstract

The emerging field of nonlinear control theory has attempted to alleviate the problem associated with applying linear control theory to nonlinear problems. A segment of nonlinear control theory, called exact feedback linearization, has proven useful in a class of problems satisfying certain controllability and integrability constraints. Approximate feedback linearization has enlarged this class by weakening the integrability conditions, but application of both these techniques remains limited to problems in which a series of linear partial differential equations can easily be solved. By use of the idea of normal forms, from dynamical systems theory, an efficient method of obtaining the necessary coordinate transformation and nonlinear feedback rules is given. This method, which involves the solution of a set of linear algebraic equations, is valid for any dimensional system and any order nonlinearity provided it meets the approximate feedback linearization conditions.

Original languageEnglish (US)
Pages21-33
Number of pages13
StatePublished - Dec 1 1994
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994Nov 11 1994

Other

OtherProceedings of the 1994 International Mechanical Engineering Congress and Exposition
CityChicago, IL, USA
Period11/6/9411/11/94

Fingerprint

Feedback linearization
Control theory
Nonlinear systems
Feedback
Nonlinear feedback
System theory
Controllability
Linear equations
Partial differential equations
Dynamical systems

ASJC Scopus subject areas

  • Software
  • Mechanical Engineering

Cite this

Talwar, S., Namachchivaya, N. S., & Voulgaris, P. (1994). Systematic normal form approach to feedback linearize a class of nonlinear systems. 21-33. Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, .

Systematic normal form approach to feedback linearize a class of nonlinear systems. / Talwar, S.; Namachchivaya, N Sri; Voulgaris, P.

1994. 21-33 Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, .

Research output: Contribution to conferencePaper

Talwar, S, Namachchivaya, NS & Voulgaris, P 1994, 'Systematic normal form approach to feedback linearize a class of nonlinear systems' Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, 11/6/94 - 11/11/94, pp. 21-33.
Talwar S, Namachchivaya NS, Voulgaris P. Systematic normal form approach to feedback linearize a class of nonlinear systems. 1994. Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, .
Talwar, S. ; Namachchivaya, N Sri ; Voulgaris, P. / Systematic normal form approach to feedback linearize a class of nonlinear systems. Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, .13 p.
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