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Proceedings Paper

Time-discretization of state time delayed nonlinear systems via Taylor-lie series
Author(s): Yuanliang Zhang; Jong Man Kim; Changlei Zhang; Kil To Chong
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Paper Abstract

In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sample-data representation of a nonlinear system with constant state time-delay. The mathematical expressions of the discretization scheme are presented and the effect of the time-discretization method on key properties of nonlinear control system with state time-delay, such as equilibrium properties and asymptotic ability, is examined. The proposed scheme provides a finite-dimensional representation for nonlinear systems with state time-delay enabling existing controller design techniques to be applied to them. The performance of the proposed discretization procedure is evaluated using a nonlinear system.

Paper Details

Date Published: 2 May 2006
PDF: 5 pages
Proc. SPIE 6042, ICMIT 2005: Control Systems and Robotics, 60421F (2 May 2006); doi: 10.1117/12.669294
Show Author Affiliations
Yuanliang Zhang, Chonbuk National Univ. (South Korea)
Jong Man Kim, Chonnam Provincial College (South Korea)
Changlei Zhang, Chonbuk National Univ. (South Korea)
Kil To Chong, Chonbuk National Univ. (South Korea)

Published in SPIE Proceedings Vol. 6042:
ICMIT 2005: Control Systems and Robotics
Yunlong Wei; Kil To Chong; Takayuki Takahashi; Shengping Liu; Zushu Li; Zhongwei Jiang; Jin Young Choi, Editor(s)

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