Dept. of Appl.Math @ ucc.ie
Systems with Hysteresis
Welcome

Contents

What is `Hysteresis'

Preisach Model
   Nonideal relay
      Nonideal relay applet
      Discussion
   Parallel connection
   Preisach model
   Discrete Preisach model

Closed loop systems

Complex behavior

Other Hysterons

Advanced modelling

Bibliography


Nonideal relay

The nonideal relay (with the threshold values $\alpha <\beta $) is the simplest hysteretic transducer. This transducer is denoted by ${R}_{\alpha,\beta}$. Its output $y(t)$ can take one of two values $0$ or $1$: at any moment the relay is either `switched off' or `switched on'.

This nonlinearity is usually illustrated by the picture shown in Figure 3.1

Figure 4: Nonideal relay
\includegraphics*[width=9cm]{images/rele.eps}

Here the bold lines represent the set of possible input-outputs pairs. The dynamics of the relay is demonstrated by the applet below.


Subsections