Exponentials

block Exponentials "Generate a rising and falling exponential signal"
    parameter Real outMax = 1 "Height of output for infinite riseTime"
        annotation (Dialog(groupImage = "modelica://Modelica/Resources/Images/Blocks/Sources/Exponentials.png"));
    parameter SIunits.Time riseTime(min = 0, start = 0.5) "Rise time";
    parameter SIunits.Time riseTimeConst(min = Modelica.Constants.small) = 0.1 "Rise time constant; rising is defined as outMax*(1-exp(-riseTime/riseTimeConst))";
    parameter SIunits.Time fallTimeConst(min = Modelica.Constants.small) = riseTimeConst "Fall time constant";

    extends Interfaces.SignalSource;

protected
    Real y_riseTime;
equation
    y = offset + (if time < startTime then 0 else if time < startTime + riseTime then outMax * (1 - Modelica.Math.exp(-(time - startTime) / riseTimeConst)) else y_riseTime * Modelica.Math.exp(-(time - startTime - riseTime) / fallTimeConst));
    y_riseTime = outMax * (1 - Modelica.Math.exp(-riseTime / riseTimeConst));

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        Documentation(info = "<html>\n<p>\nThe Real output y is a rising exponential followed\nby a falling exponential signal:\n</p>\n\n<p>\n<img src=\"modelica://Modelica/Resources/Images/Blocks/Sources/Exponentials.png\"\n     alt=\"Exponentials.png\">\n</p>\n</html>"));
end Exponentials;