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Fuzzy Control Simulation of a Smart Irrigation System

  • Aliki D. Muradova
  • Georgios K. Tairidis
  • Georgios E. Stavroulakis
Conference paper
Part of the Springer Earth System Sciences book series (SPRINGEREARTH)

Abstract

Centre-pivot irrigation systems, also known as flexible sprayer booms, are efficiently used in the watering process and irrigation applications. During the use of such systems, various problems can occur, due to vibrations caused either by the wind excitation or other, mainly steep, external loadings, which in turn can be caused by the uneven surface of the roads or fields, such as potholes, cavities, etc. In the present paper, fuzzy control is used for the suppression of these vibrations. The application of the control mechanism is done on a two-dimensional truss model of the structure. A hybrid, Mamdani-type, fuzzy controller is implemented and tested on the smart truss. The efficiency of the proposed simulation is shown on the numerical examples.

Keywords

Smart structures Structural control Truss model Finite element analysis Fuzzy inference system Irrigation system 

Nomenclature

\( {\widehat{u}}_{1x},{\widehat{u}}_{2x} \)

Nodal displacements

l

Length of an element

ε

Elastic strain

σ

Elastic stress

E

Young’s modulus (modulus of elasticity)

T

Tension

A

Area of cross section

\( {\widehat{f}}_{1x},{\widehat{f}}_{2x} \)

Nodal forces of a bar

\( {f}_{ix}^e,{f}_{iy}^e \)

External forces for i-th element in x,y directions

mi

Mass of i-th element

\( \left[\widehat{k}\right] \)

Stiffness matrix of an element

[Ne]

Number of elements

[u]

Displacement vector for the truss

\( \left[\dot{u}\right] \)

Velocity vector for the truss

\( \left[\ddot{u}\right] \)

Acceleration vector for the truss

[m]

Mass matrix for the truss

[c]

Damping matrix for the truss

Tr

Transformation matrix for the truss

[k]

General stiffness matrix for the truss

β,γ

Newmark’s parameters

Tf

Final time of the simulation

Δt

Time step

Kt

Number of time steps

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Aliki D. Muradova
    • 1
  • Georgios K. Tairidis
    • 1
  • Georgios E. Stavroulakis
    • 1
  1. 1.Institute of Computational Mechanics and Optimization, School of Production Engineering and ManagementTechnical University of CreteChaniaGreece

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