DESIGN OF CONTROLLER FOR CHAOTIC SYSTEMS

Abstract

The project DESIGN OF CONTROLLER FOR CHAOTIC SYSTEMS deals with designing a controller for a combat aircraft to suppress the wing rock phenomenon caused mainly due to roll oscillations. Wing rock is a highly non-linear phenomenon in which aircraft experiences roll oscillations at high angles of attack and at such points system behave like a chaotic systems. Chaotic systems are non-linear systems for which mathematical model is available but still the long term behaviour of the system cannot be predicted. Also one of the characteristic of these systems is sensitivity to the initial conditions. - In this project we have considered a second order model for wing rock dynamics of a combat aircraft. This model incorporates the effect of roll oscillations only. In the later part a fifth order model incorporating the yaw oscillations along with roll oscillations is considered. Then model is represented in controller companion form implementing the state space approach. An adaptive design approach is proposed for controlling the dynamics of such systems with and without parametric uncertainty. An adaptive controller in derived to make the error signal between the actual system and the desired trajectories to converge to zero. The stability analysis is performed on the basis of the Lyapunov theory. - Finally numerical simulations are carried out using MATLAB to prove the effectiveness of the controller with and without parametric uncertainty.