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# INTEGRAL_m

Integration

### Block Screenshot

### Contents

### Palette

### Description

This block is an integrator. The output y is the integral of the input u at the current time step t.

### Dialog box

The parameter dialog box allows you to define:

The initial condition with or without saturation limit.

The upper and lower limits on the integral.

The dialog box also allows you to add an event port to the block in order to reset its state to a specified initial condition.

If ”re-initialization” is selected the following yields:

The value to be integrated shall be connected to the integral block port number 1. (the port in the upper left corner of the integral block)

The value that the integrator shall initate to, at each trigger signal on the redly marked trigger port, shall be connected to the integral block port number 2. (the port in the lower left corner of the integral block).

**Initial Condition**A vector/scalar initial conditions.

With that parameter, one can define the datatype of the input/output. It can be a real or a complex type.

Properties : Type 'mat' of size [-1,-1].

**With re-initialization**To reset its state to the specified initial condition based on an external signal select

**1**.Properties : Type 'vec' of size 1.

**With saturation**If selected, limits the states to a value between the Lower saturation limit and Upper saturation limit parameters.

Properties : Type 'vec' of size 1.

**Upper limit**The upper limit for the integral.

Properties : Type 'mat' of size [-1,-1].

**Lower limit**The lower limit for the integral.

Properties : Type 'mat' of size [-1,-1].

### Default properties

**always active:**yes**direct-feedthrough:**no**zero-crossing:**no**mode:**no**regular inputs:****- port 1 : size [1,1] / type 1****regular outputs:****- port 1 : size [1,1] / type 1****number/sizes of activation inputs:**0**number/sizes of activation outputs:**0**continuous-time state:**yes**discrete-time state:**no**object discrete-time state:**no**name of computational function:***integral_func*

### Interfacing function

SCI/modules/scicos_blocks/macros/Linear/INTEGRAL_m.sci

### Computational function

SCI/modules/scicos_blocks/src/c/integral_func.c

SCI/modules/scicos_blocks/src/c/integralz_func.c

### Example 1

This sample model demonstrates how to use the integrator's state port.

The re-initialization parameter is set to 1, the Upper limit to 1 and the lower limit to -1.

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