Adaptive control and synchronization of Lorenz systems

This study addresses the adaptive control and synchronization problems of L orenz systems with unknown system parameters. Based on the Lyapunov stabili ty theory, an adaptive control law with single-state variable feedback is d erived such that the trajectory of the Lorenz system is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the adapt ive control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results demonstrate the effectiveness of the proposed control scheme. (C) 1999 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.