Time-discretization of nonlinear systems with time delayed output via Taylor series

被引：0
作者：
Zhang Y. [1 ]
Chong K.T. [1 ]
机构：
[1] Faculty of Electronics and Information Engineering, Chonbuk National University, Duckjin-Gu, Jeonju 561-756, Duckjin-Dong
来源：
Journal of Mechanical Science and Technology | 2006年 / 20卷 / 7期
关键词：
Output Time-Delay; Scaling and Squaring Technique; Taylor-Series; Time-Discretization;
D O I：
10.1007/BF02915994
中图分类号：
学科分类号：
摘要：
An output time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via a digital computer. A new method for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption is proposed in this paper. This method is applied to the sampled-data representation of a nonlinear system with a constant output time-delay. In particular, the effect of the time-discretization method on key properties of nonlinear control systems, such as equilibrium properties and asymptotic stability, is examined. In addition, 'hybrid' discretization schemes resulting from a combination of the 'scaling and squaring' technique with the Taylor method are also proposed, especially under conditions of very low sampling rates. A performance of the proposed method is evaluated using two nonlinear systems with time-delay output.
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页码：950 / 960
页数：10
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