Novel Second Order Sliding Mode Control Design for the Anti-synchronization of Chaotic Systems with an Application to a Novel Four-Wing Chaotic System
作者： Sundarapandian Vaidyanathan
DOI: 10.1007/978-3-319-55598-0_10
关键词:
摘要: Chaos in nonlinear dynamics occurs widely physics, chemistry, biology, ecology, secure communications, cryptosystems and many scientific branches. Synchronization of chaotic systems is an important research problem chaos theory. Sliding mode control method used to solve various problems 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 derives a new result for anti-synchronization identical via novel second order method. The main established by Lyapunov stability As application general result, four-wing studied controller derived. exponents system are obtained \(L_1 = 0.8312\), \(L_2 0\) \(L_3 -27.4625\). Kaplan-Yorke dimension \(D_{KY} 2.0303\). We show that has five unstable equilibrium points. also rotation symmetry about \(x_3\)-axis. Numerical simulations using MATLAB have been shown depict phase portraits global systems.
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