Second Order Hold Based Discretization Method of Input Time-Delay Systems

Second order hold is a method can provide a high precision for discretization of input-driven nonlinear systems. A new discretization scheme combined second order hold with Taylor-series is proposed. The sampled-data representation and the mathematical structure of the new discretization scheme are explored. Both exact sampled-data representation and approximate sampled-data representation are described in detail. The performance of the proposed discretization procedure is evaluated by simulation studies. Various sampling rates, time-delay values and truncation order of Taylor-series are considered to investigate the proposed method. The results demonstrate that the proposed scheme is practical and is easy to use for time-delay systems. The comparison between second order with first order and zero order is given to show the characteristic of the proposed method.