Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning

Table 1

Reference functions.

Classification	Mathematical expression
Symmetric triangle	𝜐(𝑥)=max(1−𝑑|𝑥|,0), 𝑑>0
Gaussian	𝜐(𝑥)=𝑒^−𝑑𝑥2, 𝑑>0
Cauchy	1𝜐(𝑥)=1+𝑑𝑥^2, 𝑑>0
Laplace	𝜐(𝑥)=𝑒^−𝑑|𝑥|, 𝑑>0
Hyperbolic Secant	2𝜐(𝑥)=𝑒^𝑑𝑥+𝑒^−𝑑𝑥, 𝑑>0
Squared Sinc	𝜐(𝑥)=sin^2(𝑑𝑥)𝑑^2𝑥^2, 𝑑>0