2011•Mathematical Problems in EngineeringOpen access

Analysis of Exact Linearization and Aproximate FeedbackLinearization Techniques

Gildeberto S. Cardoso, Leizer Schnitman

Abstract

This paper presents a study of linear control systems based on exact feedback linearization and approximate feedback linearization. As exact feedback linearization is applied, a linear controller can perform the control objectives. The approximate feedback linearization is required when a nonlinear system presents a noninvolutive property. It uses a Taylor series expansion in order to compute a nonlinear transformation of coordinates to satisfy the involutivity conditions.

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Key concepts: Feedback linearization, Linearization, Taylor series, Control theory (sociology), Nonlinear system, Controller (irrigation), Transformation (genetics), Mathematics