Publications [#322844] of Silvia Ferrari

Papers Published

1. Crispin, Y; Ferrari, S, Model-reference adaptive control of chaos in periodically forced dynamical systems, 6th Symposium on Multidisciplinary Analysis and Optimization (January, 1996), pp. 882-890
   (last updated on 2021/09/05)

   Abstract:
   A model reference adaptive control method is proposed for controlling chaos in periodically forced dynamical systems. The adaptive control uses proportional, derivative and nonlinear feedback to stabilize a chaotic system about a periodic reference model embedded within the chaotic attractor. As an example, the method is applied to control the chaotic rolling motion of a ship oscillating in regular ocean waves which is modelled by a periodically forced oscillator with a cubic nonlinearity. As the wave amplitude increases, the oscillations of the ship undergo a period doubling bifurcation route to chaos, followed by a crisis (capsizing). It is shown that the control system stabilizes the chaotic motion and prevents capsizing at higher wave amplitudes. The power spectral density of the respective time series and the Poincare map technique are used to study the behavior of the chaotic uncontrolled system and the stabilized periodic controlled system.