Chebyshev interval inclusion function

Version 1.0.0 (6.74 MB) by JINGLAI
This code is used to interval uncertainty analysis based on Chebyshev interval inclusion function proposed by Jinglai Wu.
103 Downloads
Updated 16 Oct 2019

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% function [y_lb,y_ub]=CI_reg(fun_name,a,b,k,K,Expansion)
% Input
% fun_name the called function name
% a the lower bound vector of interval input
% b the upper bound vector of interval input
% k the order of CI expansion
% K the scanning (validation) points of each interval variable
% Expansion expansion type of Chebyshev polynomials-'full' or 'partial'

% Output
% y_lb lower bound of response
% y_ub upper bound of response

% Example
%[y_lb1,y_ub1]=CI_reg(@double_pendulum,[0.99 1.98]',[1.01 2.02]',4,10,'full');

Cite As

JINGLAI (2024). Chebyshev interval inclusion function (https://www.mathworks.com/matlabcentral/fileexchange/73038-chebyshev-interval-inclusion-function), MATLAB Central File Exchange. Retrieved .

[1] J. Wu, Y. Zhang, L. Chen, Z. Luo, A Chebyshev interval method for nonlinear dynamic systems under uncertainty, Applied Mathematical Modelling, 37 (2013) 4578-4591. [2] J. Wu, Z. Luo, Y. Zhang, N. Zhang, L. Chen, Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions, International Journal for Numerical Methods in Engineering, 95 (2013) 608-630. [3] J. Wu, Z. Luo, N. Zhang, Y. Zhang, A new sampling scheme for developing metamodels with the zeros of Chebyshev polynomials, Engineering Optimization, (2014) 1-25. [4] J. Wu, Z. Luo, J. Zheng, C. Jiang, Incremental modeling of a new high-order polynomial surrogate model, Applied Mathematical Modelling, 40 (2016) 4681-4699.

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.0