Abstract
This paper proposes a new method of discretization for nonlinear systems using a Taylor series expansion and the zero-order hold assumption. The method is applied to sampled-data representations of nonlinear systems with input time delays. The delayed input varies in time and its amplitude is bounded. The maximum time-delayed input is assumed to be two sampling periods. The mathematical expressions of the discretization method are presented and the ability of the algorithm is tested using several examples. A computer simulation is used to demonstrate that the proposed algorithm accurately discretizes nonlinear systems with variable time-delayed inputs.
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Choi, HJ., Chong, K.T. Time discretization of nonlinear systems with variable time-delayed inputs using a Taylor series expansion. J Mech Sci Technol 20, 759–769 (2006). https://doi.org/10.1007/BF02915940
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DOI: https://doi.org/10.1007/BF02915940