This function approximates abs(x)^a*sign(x), such that the derivative is positive, finite and smooth in x=0.
| Function | Approximation | Range |
|---|---|---|
| y = regPow(x) | y ~= abs(x)^a*sgn(x) | abs(x) >>delta |
| y = regPow(x) | y ~= x*delta^(a-1) | abs(x) << delta |
function regPow extends Modelica.Icons.Function; input Real x; input Real a; input Real delta = 0.01 "Range of significant deviation from x^a*sgn(x)"; output Real y; end regPow;