Robust Control Design for a Two-Wing MIMO Chaotic System

One of the most important issues related to chaotic systems is the chaos control problem, which is mainly aimed at stabilizing an unstable periodic orbit. The approach of this paper is to present different methods of robust control for the linearized chaotic system. First, a linearized model of the given system is presented, and by considering the open-loop conditions of the system, proportional-integral and
${\mathrm{H}}_\infty$
controllers are designed with three centralized, decentralized, and sequential design approaches in the presence of different real-world interferences and disturbances, and the strengths and weaknesses of each method are examined. The results showed that the centralized
${\mathrm{H}}_\infty$
controller outperformed decentralized and sequential controllers by various metrics and showed promising robustness to disturbances, interference, and plant variations/nonlinearities. Its disturbance rejection, fast response, and ability to handle nonlinearities make it a suitable candidate for controlling this system.