CMP – Comparator with hysteresis

Block SymbolLicensing group: STANDARD

Function Description
The CMP block compares the inputs u1 and u2 with the hysteresis h as follows:

$\begin{array}{rcl} Y_{- 1} & = & 0, \\ Y_{k} & = & h y s t (e_{k}), k = 0, 1, 2, \dots \end{array}$

where

$\begin{array}{rcl} e_{k} = u 1_{k} - u 2_{k} \end{array}$

and

$\begin{array}{rcl} h y s t (e_{k}) = \{\begin{matrix} 0 & for & e_{k} \leq - h \\ Y_{k - 1} & for & e_{k} \in (- h, h) \\ 1 & for & e_{k} \geq h (e_{k} > h for h = 0) \end{matrix} \end{array}$

The indexed variables refer to the values of the corresponding signal in the cycle defined by the index, i.e. $Y_{k - 1}$ denotes the value of output in the previous cycle/step. The value $Y_{- 1}$ is used only once when the block is initialized ( $k = 0$ ) and the difference of the input signals $e_{k}$ is within the hysteresis limits.

Inputs

u1	First analog input of the block	Double (F64)
u2	Second analog input of the block	Double (F64)

Output

Y	Logical output of the block	Bool

Parameter

hys	Hysteresis $↓$ 0.0 $⊙$ 0.5	Double (F64)

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