Scicos Block
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Single step integrator block by trapezoidal method (old block)

Contents

• Single step integrator block by trapezoidal method (old block)
  • Palette
  • Description
  • Dialog box
  • Default properties
  • Interfacing function
  • Computational function
  • See also
  • Authors
  • Bibliography

Palette

• Old - Old blocks palette

Description

This block is a single step discrete integrator.
The output vector is the integral of the input vector computed with the trapezoidal method defined by the following equation :

$$\begin{eqnarray} y_{k}=\frac{h}{2}\left(u_{k}+u_{k-1}\right)+y_{k-1} \end{eqnarray}$$

where $h$ is the time step, $u_{k}$ the input vector and $y_{k}$ the output vector.

Dialog box

• Step
  Integral time step.
  Type 'vec' of size 1.

• Initial input state
  Initial value of input state.
  Type 'vec' of size -1.

• Initial output sate
  Initial value of output state.
  Type 'vec' of size -1.

Default properties

• always active: no
• direct-feedthrough: yes
• 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: 1
• number/sizes of activation outputs: 0
• continuous-time state: no
• discrete-time state: yes
• object discrete-time state: no
• name of computational function: int_trap

Interfacing function

• MODNUMCOS/macros/scicos_blocks/Old/TRAPINTEGRAL_f.sci [view code]

Computational function

• MODNUMCOS/routines/old/int_trap.c (Type 2) [view code]

See also

• EULERINTEGRAL_f - Single step integrator block by Euler method (old block) (Scicos Block)

Authors

A. Layec

Bibliography

[1] T. Parker and L. Chua, Pratical Numerical Algorithms for Chaotic Systems.Springer Verlag, Berlin, 1989.