Nonlinear control of chaotic systems: A switching manifold approach

In this paper, a switching manifold approach is developed for nonlinear fee d-back control of chaotic systems. The design strategy is straightforward, and the nonlinear control law is the simple bang-bang control. Yet, this co ntrol method is very effective; for instance, several desired equilibria ca n be stabilized by using one control law with different initial conditions. Its effectiveness is verified by both theoretical analysis and numerical s imulations. The Lorenz system simulation is shown for the purpose of illust ration.