Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Time-Discretization of Non-Affine Nonlinear System with Delayed Input Using Taylor-Series

  • Park, Ji-Hyang (Division of Electronics and Information Engineering Chonbuk National University) ;
  • Chong, Kil-To (Division of Electronics and Information Engineering Chonbuk National University) ;
  • Kazantzis, Nikolaos (Department of Chemical Engineering, Worcester Polytechnic Institute) ;
  • Parlos, Alexander G. (Department of Mechanical Engineering Texas A&M University College Station)
  • Published : 2004.08.01
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Abstract

In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sampled-data representation of a non-affine nonlinear system with constant input time-delay. The mathematical expressions of the discretization scheme are presented and the ability of the algorithm is tested for some of the examples. The proposed scheme provides a finite-dimensional representation for nonlinear systems with time-delay enabling existing controller design techniques to be applied to them. For all the case studies, various sampling rates and time-delay values are considered.

Keywords

References

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