Adaptive Integral Sliding Mode Controller Design for the Control of a Novel 6-D Coupled Double Convection Hyperchaotic System

摘要: Chaos and hyperchaos have important applications in finance, physics, chemistry, biology, ecology, secure communications, cryptosystems many scientific branches. Control synchronization of chaotic hyperchaotic systems are research problems chaos theory. Sliding mode control is an method used to solve various engineering. In robust systems, the sliding often adopted due its inherent advantages easy realization, fast response good transient performance as well insensitivity parameter uncertainties disturbance. recent decades, there great interest shown finding motion oscillations nonlinear dynamical arising science Rucklidge system (1992) a famous 3-D for double convection fluid mechanics. By bidirectional coupling we obtain novel 6-D coupled system. We describe phase portraits qualitative properties Also, show that Lyapunov exponents \(L_1 = 0.5065\), \(L_2 0.1917\), \(L_3 0\), \(L_4 -0.0180\), \(L_5 -2.6885\) \(L_6 -3.1917\). The Kaplan-Yorke dimension derived \(D_{KY} 4.2530\), which shows high complexity Next, adaptive integral scheme proposed global all trajectories mechanism helps design by estimating unknown parameters. Numerical simulations using MATLAB illustrate main results this work.