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.
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Park, J.H., Chong, K.T., Kazantzis, N. et al. Time-discretization of non-affine nonlinear system with delayed input using taylor-series. KSME International Journal 18, 1297–1305 (2004). https://doi.org/10.1007/BF02984243
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DOI: https://doi.org/10.1007/BF02984243