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Chaos control of chaotic dynamical systems using backstepping design. (English) Zbl 1102.37306

Summary: This work presents chaos control of chaotic dynamical systems by using backstepping design method. This technique is applied to achieve chaos control for each of the dynamical systems of Lorenz, Chen and Lü systems. Based on Lyapunov stability theory, control laws are derived. We use the same technique to enable stabilization of chaotic motion to a steady state as well as tracking of any desired trajectory to be achieved in a systematic way. Numerical simulations are shown to verify the results.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C10 Nonlinear systems in control theory
93D99 Stability of control systems
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