Realization problem of SISO nonlinear systems: A transfer function approach

Author

Halás, Miroslav ; Kotta, Ülle

Author_Institution

Inst. of Control & Ind. Inf., Slovak Univ. of Technol., Bratislava, Slovakia

fYear

2009

fDate

9-11 Dec. 2009

Firstpage

546

Lastpage

551

Abstract

This paper studies the nonlinear realization problem, i.e. the problem of finding an observable state space representation of a SISO nonlinear system described by an input-output differential equation, within an alternative polynomial approach. To find the solution the so-called adjoint polynomials and adjoint transfer functions are introduced for nonlinear systems. Thereby the clear connection to the solution known from linear systems is established.

Keywords

differential equations; nonlinear control systems; polynomials; realisation theory; state-space methods; transfer functions; SISO nonlinear systems; adjoint polynomials; adjoint transfer functions; alternative polynomial; input-output differential equation; observable state space representation; realization problem; Control systems; Differential equations; Iterative algorithms; Linear systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Polynomials; State-space methods; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2009. ICCA 2009. IEEE International Conference on

Conference_Location

Christchurch

Print_ISBN

978-1-4244-4706-0

Electronic_ISBN

978-1-4244-4707-7

Type

conf

DOI

10.1109/ICCA.2009.5410527

Filename

5410527