System-theoretic properties of sampled-data representations of nonlinear systems obtained via Taylor methods

Author

Kazantzis, Nikolaos ; Kravaris, Costas

Author_Institution

Dept. of Chem. Eng., Michigan Univ., Ann Arbor, MI, USA

Volume

2

fYear

1994

fDate

29 June-1 July 1994

Firstpage

1354

Abstract

It is possible to obtain a sampled-data representation of a nonlinear dynamic system under zero-order hold using Taylor methods. Explicit formulas for the resulting discrete-time system are derived in terms of the system Lie derivatives. The effect of sampling on system-theoretic properties of nonlinear systems, such as equilibrium properties, relative order, stability, zero dynamics and minimum-phase characteristics, is examined, revealing the natural and transparent way in which Taylor methods permeate the relevant theoretical aspects.

Keywords

discrete time systems; nonlinear control systems; nonlinear dynamical systems; sampled data systems; stability; Lie derivatives; Taylor methods; discrete-time system; equilibrium properties; minimum-phase characteristics; nonlinear dynamic system; relative order; sampled-data representations; stability; system-theoretic properties; zero dynamics; zero-order hold; Chemical engineering; Control systems; Input variables; Manipulator dynamics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sampling methods; Stability; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.752280

Filename

752280