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

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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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Authors and Affiliations

  1. Faculty of Electronics and Information Engineering, Chonbuk National University, Duckjin-Dong, Duckjin-Gu, 561-756, Jeonju, Korea

    Zhang Yuanliang & Kil To Chong

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  1. Zhang Yuanliang
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  2. Kil To Chong
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Correspondence to Kil To Chong.

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Yuanliang, Z., Chong, K.T. Time-discretization of nonlinear systems with time delayed output via Taylor series. J Mech Sci Technol 20, 950–960 (2006). https://doi.org/10.1007/BF02915994

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  • DOI: https://doi.org/10.1007/BF02915994

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