DeviationSquared

Computes the square of the difference between a function’s value at a certain time and a desired value.

Example

Assume that you wish to determine the design of a suspension such that the camber angle of each wheel is 2° at assembly (T=0). Here is how you would instantiate the camber response at T=0 for each wheel.

>>> # Left wheel (LW) camber response
>>> camberL = ValueAtTime (
       label         = "LW Camber @ T=0",
       measuredValue =  “Camber (22,11)*RTOD”,
       atTime        = 0.0,
       delta         = 0.1,
    )
>>>
>>> camberLDev  = DeviationSquared (
       label       = "LW Camber Deviation @ T=0",
       signal      =  camberL,
       targetValue = 2.0
    )
>>>
>>> # Right wheel (RW) camber response
>>> camberR = ValueAtTime (
       label   = "RW Camber @ T=0",
       measuredValue =  “Camber (223,11)*RTOD”,
       atTime        = 0.0,
       delta         = 0.1,
    )
>>>
>>> camberLDev  = DeviationSquared (
       label       = "RW Camber Deviation @ T=0",
       signal      =  camberR,
       targetValue = 2.0,
    )

The calculations in DeviationSquared are implemented as follows:(1)

\begin{array}{l} i f | t a r g e t V a l u e | > ϵ : ​ r e s p o n s e = \frac{1}{2} {(1 - \frac{s i g n a l}{t a r g e t V a l u e})}^{2} \\ e l s e : r e s p o n s e = \frac{1}{2} {(s i g n a l - t \arg e t V a l u e)}^{2} \end{array}

$\begin{array}{l} i f | t a r g e t V a l u e | > ϵ : r e s p o n s e = \frac{1}{2} {(1 - \frac{s i g n a l}{t a r g e t V a l u e})}^{2} \\ e l s e : r e s p o n s e = \frac{1}{2} {(s i g n a l - t \arg e t V a l u e)}^{2} \end{array}$