DiscreteIntegral

This block implements a discrete integrator. The output is the integral of the input signal.

    DiscreteIntegral

Library

Dynamical

Description

The DiscreteIntegral block implements a discrete integrator. The output is an approximation of the integral of the input signal. Various integration methods are supported.

Forward Euler method is given by

x(k) = x(k-1) + step*u(k-1)

Backward Euler method is given by

x(k) = x(k-1) + step*u(k)

Heun (Trapezoidal) method is given by

x(k) = x(k-1) + step*[u(k-1)+u(k)]/2

This block supports double and complex data types.

Parameters

DiscreteIntegral_0

NameLabelDescriptionData TypeValid Values

x0

Initial condition

Initial state of the integrator. Only datatype double is supported.

Matrix

method

Integration method

String

'Forward
Euler'
'Backward
Euler'
'Trapezoidal'

typ

Input/Output datatype

String

'double'
'complex'
'inherit'

reinit

With re-initialization

Check this parameter to reset its state to the specified initial condition based on an external signal.

Number

0
1

satur

With saturation

Check this parameter to limit the states to a value between the Lower saturation limit and Upper saturation limit parameters.

Number

0
1

limit

Saturation limit

Structure

limit/max

Upper limit

Real value. Active only if With Saturation parameter is active.

Cell of matrices

limit/min

Lower limit

Real value. Active only if With Saturation parameter is active.

Cell of matrices

Ports

NameTypeDescriptionIO TypeNumber

Port 1

explicit

Integration result.

output

1

Port 2

explicit

Signal to be integrated. Must be double.

input

1

Port 3

explicit

input

reinit

Port 4

activation

input

reinit+1

Advanced Properties

NameValueDescription

always active

no

direct-feedthrough

yes/no

The feedthrough property of the second input (if present) is always true. That of the first input depends on the choice of the method: it is false only in case of "forward Euler".

zero-crossing

no

mode

no

continuous-time state

no

discrete-time state

yes