regPowAnti-symmetric power approximation with non-zero derivative in the origin |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
This function approximates abs(x)^a*sign(x), such that the derivative is positive, finite and smooth in x=0.
Function | Approximation | Range |
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y = regPow(x) | y ~= abs(x)^a*sgn(x) | abs(x) >>delta |
y = regPow(x) | y ~= x*delta^(a-1) | abs(x) << delta |
x |
Type: Real |
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a |
Type: Real |
delta |
Default Value: 0.01 Type: Real Description: Range of significant deviation from x^a*sgn(x) |
y |
Type: Real |
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