Gaussian2 MF

Combination of two Gaussian membership functions

• 

Libraries:
Fuzzy Logic Toolbox / Membership Functions

Description

The Gaussian2 MF block implements a membership function based on a combination of two Gaussian functions. The two Gaussian functions are given by the following equation.

$$f\left(x;{\sigma }_k,c_k\right)=e^{\frac{-{\left(x-c_k\right)}^2}{2{\sigma }_k^2}}$$

where k = 1,2. The parameters c₁ and σ₁ are the mean and standard deviation defining the left-most curve. The parameters c₂ and σ₂ are the mean and standard deviation defining the right-most curve.

Ports

Input

x — Input value

scalar | vector

Input value for which to compute membership values, specified as a scalar or vector.

Output

MF — Membership value

scalar | vector

Membership value, returned as a scalar or a vector. The dimensions of MF match the dimensions of x. Each element of MF is the membership value computed for the corresponding element of x.

When c₁ ≤ c₂, the membership function reaches a maximum value of 1 over the range [c₁, c₂].

Otherwise, when c₁ > c₂, the maximum value is less than one.

Parameters

Standard deviation for left curve sigma1 — Left Gaussian standard deviation

3 (default) | scalar

Standard deviation σ₁ of the left Gaussian function.

Programmatic Use

Block Parameter: sigma1

Type: string, character vector

Default: "3"

Mean for left curve c1 — Left Gaussian mean

-1 (default) | scalar

Mean c₁ of the left Gaussian function.

Programmatic Use

Block Parameter: mu1

Type: string, character vector

Default: "-1"

Standard deviation for right curve sigma2 — Right Gaussian standard deviation

1 (default) | scalar

Standard deviation σ₂ of the right Gaussian function.

Programmatic Use

Block Parameter: sigma2

Type: string, character vector

Default: "1"

Mean for right curve c2 — Right Gaussian mean

5 (default) | scalar

Mean c₂ of the right Gaussian function.

Programmatic Use

Block Parameter: mu2

Type: string, character vector

Default: "5"

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

PLC Code Generation
Generate Structured Text code using Simulink® PLC Coder™.

Version History

Introduced before R2006a