A predetermined time sliding mode control scheme for stabilising four-dimensional hyperchaotic systems

Abstract In this paper, on the basis of the three-dimensional Chen system, a four-dimensional hyperchaotic system is constructed by using a smooth and continuous nonlinear magnetronic memristor model as the feedback term of the system, which has higher complexity and more complex and diverse attractor morphology, and shows stronger dynamics and simulation software is used to construct a simulation circuit for simulation, and the results obtained are more in line with the numerical results, and some of the dynamics are demonstrated. The obtained results are in good agreement with the numerical results, and some dynamic properties are demonstrated. Additionally, a predetermined-time sliding mode controller is designed, incorporating three convergence terms to maintain system stability under external disturbances. Using Lyapunov stability theory, the effectiveness of the proposed scheme is demonstrated. Numerical simulation results show that the designed controller converges faster and exhibits less chattering compared to the conventional predetermined-time sliding mode controller.