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

Name	Label	Description	Data Type	Valid 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

Name	Type	Description	IO Type	Number
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

Name	Value	Description
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