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Manuel Scilab >> xcos > palettes > Continuous time systems palette > INTEGRAL_m

INTEGRAL_m

Integration

Description

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

Where y0 is an initial condition and t0 is its corresponding time.

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.

It allows you also to add an event port to the block in order to reset its sate to the specified initial condition.

In this case, the value of the reset signal depends on an external signal.

• 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 select1 .

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

Example

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.

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

Authors

• Alan Layec INRIA

• Ramine Nikoukhah INRIA