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Approximate Nonlinear Discrete-time Models Based on B-spline Functions

Claudia Sanchez, Juan I. Yuz
2020 IEEE Access  
We consider the discretization of continuous-time nonlinear systems described by normal forms. In particular, we consider the case when the input to the system is generated by a B-spline hold device to obtain an approximate discrete-time model. It is shown that the corresponding sampled-data model and its accuracy (measured in terms of the local truncation error) depend on the smoothness of the input and on the applied integration strategy, namely, the truncated Taylor series expansion.
more » ... expansion. Moreover, the sampling zero dynamics of the discrete-time model are asymptotically characterized as the sampling period goes to zero, and it is shown that these zero dynamics converge to the asymptotic sampling zeros of the linear case. INDEX TERMS B-spline functions, nonlinear systems, normal forms, truncated Taylor series, zero dynamics. 143366 This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see VOLUME 8, 2020
doi:10.1109/access.2020.3013829 fatcat:w2fkfl5mtbbbbbsos56b7nsvme