Time-discretization of nonlinear systems with time delayed output via Taylor series |
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Authors: | Zhang Yuanliang Kil To Chong |
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Affiliation: | (1) Faculty of Electronics and Information Engineering, Chonbuk National University, Duckjin-Dong, Duckjin-Gu, 561-756 Jeonju, Korea |
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Abstract: | 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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Keywords: | Output Time-Delay Scaling and Squaring Technique Taylor-Series Time-Discretization |
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