Taylor expansion

This paper presents a method to synthesize the adaptive sliding mode controller for a class of MIMO Euler-Lagarance systems with variable parameters. We perform a Taylor series expansion of a class of MIMO Euler-Lagarance systems into nonlinear state-space equations, considering cases of varying parameters and unmeasured external disturbances.

9p viirenerosenfeld 26-05-2022 17 2   Download

In this paper, using the definition on partial derivative of a matrix with respect to a vector and Kronecker product [7–9], the formulae of Taylor expansion according to a vector x for scalar functions, vector functions and matrix functions will be built and demonstrated. An applied example regarding the l

12p nguaconbaynhay11 07-04-2021 13 2   Download

This paper reveals and analyzes the frequency bifurcation phenomena in the fractional-order inductive power transfer (FOIPT) system with series-series compensation topology. Using fractional calculus theory and electric circuit theory, the circuit model of the series-series compensated FOIPT system is first proposed, then taking the case of a single variable fractional order as an example, three frequency analytical solutions of frequency bifurcation equation are solved by using Taylor expansion method.

8p dayhoctainha 10-09-2020 20 0   Download

Much attention has been paid to Taylor series expansion (TSE) method these years, which has been extensively used for solving nonlinear equations for its good robustness and accuracy of positioning. A Taylor-series expansion location algorithm based on the RBF neural network (RBF-TSE) is proposed before to the performance of TSE highly depends on the initial estimation.

8p vivalletta2711 11-01-2020 17 1   Download

The first three coefficients of the Taylor’s series expansion of the vevtor pion form factor as a function of the momentum transfer are evaluated using the experimental data on the pion form factor and the P-wave ππ phase shifts. The real part of the form factor as a function of energy is also calculated by dispersion relation. Comparisons there results with Chiral Perturbation Theory and unitarized models are given.

8p thuyliebe 09-10-2018 25 0   Download

This paper presents a method of real-time CNC interpolation for complex curved profiles which can be described with NURBS equations. The real-time interpolation algorithm is based on second order Taylor’s expansion with the principle part being a formula for updating parametric value u after each sampling period.

8p cumeo3000 01-08-2018 41 0   Download

The Symbolic Math Toolboxes provide functions to do the basic operations of calculus; differentiation, limits, integration, summation, and Taylor  series expansion.   ...

26p bongxeta_timdanba 11-12-2010 147 9   Download