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A discretization method for nonlinear delayed non-affine systems

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Abstract

The input time delay is always existent in the 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 digital computer. This paper proposes a new discretization method for calculating a sampled-data representation of nonlinear time-delayed non-affine systems. The proposed scheme provides a finite-dimensional representation for nonlinear systems with non-affine time-delayed input enabling existing nonlinear controller design techniques to be applied to them. The performance of the proposed discretization procedure is evaluated by using a nonlinear system with non-affine time-delayed input. For this nonlinear system, various time delay values are considered.

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Authors and Affiliations

  1. School of Mechanical Engineering, Huaihai Institute of Technology, Lianyungang, 222005, PRC

    Yuan-Liang Zhang

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  1. Yuan-Liang Zhang
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Correspondence to Yuan-Liang Zhang.

Additional information

This work was supported by University Natural Science Research Project of Jiangsu Province (No. 10KJB510001).

Yuan-Liang Zhang graduated from Tsinghua University, PRC in 2001. He received the M. Sc. and Ph.D. degrees from the Chonbuk National University, South Korea in 2006 and 2009, respectively. He is currently a lecturer at the School of Mechanical Engineering, Huaihai Institute of Technology, PRC.

His research interests include nonlinear system discretization and control and robotics.

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Zhang, YL. A discretization method for nonlinear delayed non-affine systems. Int. J. Autom. Comput. 9, 177–181 (2012). https://doi.org/10.1007/s11633-012-0631-7

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  • DOI: https://doi.org/10.1007/s11633-012-0631-7

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