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A canonical form for nonlinear systems

R. Su, L.R. Hunt

Abstract

The concepts of transformation and canonical form have been used in analyzing linear systems. These ideas are extended to nonlinear systems. A coordinate system and a corresponding canonical form are developed for general nonlinear control systems. Their usefulness is demonstrated by showing that every feedback linearizable system becomes a system with only feedback paths in the canonical form. For control design involving a nonlinear system, one approach is to put the system in its canonical form and approximate by that part having only feedback paths.

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Key concepts: Canonical form, Nonlinear system, Mathematics, Canonical transformation, Transformation (genetics), Control theory (sociology), Nonlinear control, Linear system