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.
Control Analysis of Rucklidge Chaotic System
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received May 23, 2018; final manuscript received November 12, 2018; published online December 19, 2018. Assoc. Editor: Hashem Ashrafiuon.
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Marwan, M., Ahmad, S., Aqeel, M., and Sabir, M. (December 19, 2018). "Control Analysis of Rucklidge Chaotic System." ASME. J. Dyn. Sys., Meas., Control. April 2019; 141(4): 041010. https://doi.org/10.1115/1.4042030
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