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The proposed method for obtaining a multitude of continuous mathematical functions is to design a complex computational structure, named function synthesizer circuit that is able to generate these functions approximating them using an original superior-order approximation function.
Three different formulations of the Weighed Global Criterion (WGC) method are used, and these functional formulations are analyzed and the concept of a local approximation function is developed to build the Pareto frontier.
As a result of using a fourth-order approximation function, the dynamic range of the proposed exponential function generator is approximately 33 dB, for an error smaller than 1 dB.
Node-based NURBS basis functions are used to construct the approximation function.
The simplicity of an approximation function and ease of analytical handling have been targeted.
First, the approximation function of wavelet bases is performed by employing SAA.
An uncertainty bound of the approximation function is also produced by the scheme.
The proposed Gaussian function generator based on the new approximation function allows to extend its capability of generating any continuous mathematical functions, this feature being obtained by changing the approximation function coefficients.
Analytical PID controller tuning rules are proposed by a correct approximation function using desired closed-loop response technique.
The design optimization of a V-belt pulley was performed using an approximation function, which improved the fatigue life.
The proposed method is based on a new approximation function that is able to fourth-order match the Gaussian function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com