Control Analysis of Rucklidge Chaotic System

In this paper, we designed multiple control inputs for Rucklidge oscillator through sliding, adaptive, and backstepping control techniques. Dynamical stability through Lyapunov theory is discussed to check whether the above-mentioned nonlinear dynamical system is stable or not for defined controller. Based on error dynamics, adaptive and sliding control techniques are used such that solution approaches to its stable state with time. Furthermore, simulation results of nonlinear Rucklidge system are included in this paper to confirm controlled results and to analyze applied techniques. A brief analysis of these techniques for considered dynamical system is an integral part of the paper.