Volume 11 Number 3
June 2014
Article Contents
Yuan-Liang ZhangDiscretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold. International Journal of Automation and Computing, vol. 11, no. 3, pp. 320-327, 2014. doi: 10.1007/s11633-014-0795-4
Cite as: Yuan-Liang ZhangDiscretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold. International Journal of Automation and Computing, vol. 11, no. 3, pp. 320-327, 2014. doi: 10.1007/s11633-014-0795-4

Discretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold

  • Received: 2013-04-11
Fund Project:

This paper was supported by Jiangsu Province University Natural Science Research Project (No. 13KJB510003) and Jiangsu Province Research and Development Institute of Marine Resources Science and Technology Open Fund Project (No. JSIMR11B05).

通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Discretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold

Fund Project:

This paper was supported by Jiangsu Province University Natural Science Research Project (No. 13KJB510003) and Jiangsu Province Research and Development Institute of Marine Resources Science and Technology Open Fund Project (No. JSIMR11B05).

Abstract: When calculating the sampled-date representation of nonlinear systems second-order hold (SOH) assumption can be applied to improving the precision of the discretization results. This paper proposes a discretization method based on Taylor series and the SOH assumption for the nonlinear systems with the time delayed non-affine input. The mathematical structure of the proposed discretization method is explored. This proposed discretization method can provide a precise and finite dimensional discretization model for the nonlinear time-delayed non-affine system by keeping the truncation order of the Taylor series. The performance of the proposed discretization method is evaluated by doing the simulation using a nonlinear system with the time-delayed non-affine input. Different input signals, time-delay values and sampling periods are considered in the simulation to investigate the proposed method. The simulation results demonstrate that the proposed method is practical and easy for time-delayed nonlinear non-affine systems. The comparison between SOH assumption with first-order hold (FOH) and zero-order hold (ZOH) assumptions is given to show the advantages of the proposed method.

Yuan-Liang ZhangDiscretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold. International Journal of Automation and Computing, vol. 11, no. 3, pp. 320-327, 2014. doi: 10.1007/s11633-014-0795-4
Citation: Yuan-Liang ZhangDiscretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold. International Journal of Automation and Computing, vol. 11, no. 3, pp. 320-327, 2014. doi: 10.1007/s11633-014-0795-4
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