ScholarLens Back to search
1990•IEEE Transactions on Automatic ControlRequires access

Generalized controller canonical form for linear and nonlinear dynamics

Michel Fliess

Open publisher page 368 citations

Abstract

A generalized controller canonical form for linear and nonlinear dynamics is proposed. It is obtained using the theorem of the primitive element from differential algebra. The derivation of the controller form does not apply to multivariable constant linear systems. With the transformations, all nonlinear dynamics can be exactly linearized by dynamic feedback. The main departure from standard theory is that transformations may depend on input derivatives. Once differential-algebraic tools are introduced, the proofs of the results are easy.>

About this research paper

What this paper is about

A generalized controller canonical form for linear and nonlinear dynamics is proposed. It is obtained using the theorem of the primitive element from differential algebra. The derivation of the controller form does not apply to multivariable constant linear systems. With the transformations, all nonlinear dynamics can be exactly linearized by dynamic feedback. The main departure from standard theory is that transformations may depend on input derivatives. Once differential-algebraic tools are introduced, the proofs of the results are easy.>

Why it matters

OpenAlex reports 368 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A generalized controller canonical form for linear and nonlinear dynamics is proposed. It is obtained using the theorem of the primitive element from differential algebra. The derivation of the controller form does not apply to multivariable constant linear systems. With the transformations, all nonlinear dynamics can be exactly linearized by dynamic feedback. The main departure from standard theory is that transformations may depend on input derivatives. Once differential-algebraic tools are introduced, the proofs of the results are easy.>

Key concepts: Canonical form, Nonlinear system, Controller (irrigation), Mathematics, Multivariable calculus, Algebraic number, Mathematical proof, Differential algebra

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Generalized controller canonical form for linear and nonlinear dynamics — Research Paper | ScholarLens