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Information Technology Journal

Year: 2014 | Volume: 13 | Issue: 6 | Page No.: 1222-1227
DOI: 10.3923/itj.2014.1222.1227
A Discretization Method for the Nonlinear State Delay System
Yuanliang Zhang

Abstract: The time delay phenomenon exists in many practical systems. The state delay is a kind of time delays that frequently happens in various engineering process. It is very difficult to solve the state delay problems in a continuous time domain since the system with state delay exhibits infinite dimensional characteristics. And since most of the control algorithms perform in digital processor, it is necessary to obtain the discrete time model of the systems with stat delay. This paper proposed a time discretization method for the nonlinear systems with state delay. This discretization scheme is based on Taylor series and the zero order hold assumption. The presented discretization method can provide an accurate and finite dimensional sampled-data representation for nonlinear systems with state delay, enabling existing controller design techniques to be applied to them. The performance of the proposed discretization method was validated by doing the numerical simulation using a nonlinear system with state delay. In this simulation various initial values, sampling periods and time delay values were adopted.

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How to cite this article
Yuanliang Zhang , 2014. A Discretization Method for the Nonlinear State Delay System. Information Technology Journal, 13: 1222-1227.

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