Adaptive Integral Sliding Mode Controller Design for the Control and Synchronization of a Rod-Type Plasma Torch Chaotic System

摘要: Chaos has important applications in physics, chemistry, biology, ecology, secure communications, cryptosystems and many scientific branches. Control synchronization of chaotic 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. this work, we first describe Ghorui jerk system (2000), which model a rod-type plasma torch system. This describes strange attractor thermal arc based on triple convection The phase portraits displayed qualitative properties discussed. We demonstrate that three unstable equilibrium points \(x_1\)-axis \({\mathbf {R}}^3\). Lyapunov exponents obtained \(L_1 = 0.3781\), \(L_2 0\) \(L_3 -1.3781\). Kaplan-Yorke dimension derived \(D_{KY} 2.2744\), shows complexity Next, adaptive integral scheme proposed globally stabilize all trajectories Furthermore, for global identical systems. mechanism helps design by estimating unknown parameters. Numerical simulations using MATLAB shown illustrate main results work.