Generalisation of a class of multi-wing chaotic systems and control of a new multi-wing chaotic system

This paper presents a new multi-wing chaotic system and its control. Methods of construction of multi-wing attractors are analysed for a class of multi-wing chaotic systems. The nonlinear functions used in this class of systems are generalised. The generalised form is then used to design a new multi-segment even symmetric nonlinear function, and the same is used to develop a new multi-wing chaotic system. The Lyapunov exponents are calculated and confirm the chaotic nature of the new multi-wing system. Finally, a quasi integral sliding mode controller is designed to regulate the states of the new multi-wing chaotic system in the presence of matched bounded disturbances. The simulation results reveal that the designed controller is working satisfactorily in the presence of various types of bounded disturbances. Copyright (c) 2022 The Authors. This is an open access article under the CC-BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)