SINT – Simple integrator

Block SymbolLicensing group: STANDARD

Function Description
The SINT block implements a discrete integrator described by the following difference equation

y_{k} = y_{k - 1} + \frac{T_{S}}{2 T_{i}} (u_{k} + u_{k - 1}),

where $T_{S}$ is the block execution period and $T_{i}$ is the integral time constant. If $T_{i} = 0$ , the block realize summation by following equation

y_{k} = y_{k - 1} + u_{k} .

If $T_{i} < 0$ , the block behaviour is undefined. If $y_{k}$ falls out of the saturation limits ymin and ymax, the output and state of the block are appropriately modified.

For more complex tasks, consider using the INTE block, which provides extended functionality.

Input

u	Analog input of the block	Double (F64)

Output

y	Analog output of the block	Double (F64)

Parameters

ti	Integral time constant $T_{i}$ $⊙$ 1.0	Double (F64)
y0	Initial output value	Double (F64)
ymax	Upper limit of the output signal $⊙$ 1.0	Double (F64)
ymin	Lower limit of the output signal $⊙$ -1.0	Double (F64)

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