Adaptive Control of Chaos in Lorenz System

This paper treats the control of chaos in Lorenz systemsin the presence of system parameter uncertainty. An adaptivecontrol law is derived such that in the closed-loop system thestate of the system can be regulated to a specified point inthe state space. Simulation results are presented which showthe suppression of chaotic behavior and the regulation of statevector to the desired terminal point in spite of the uncertaintyin system parameters.

[1]  Austin Blaquière,et al.  Nonlinear System Analysis , 1966 .

[2]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[3]  Grebogi,et al.  Using chaos to direct trajectories to targets. , 1990, Physical review letters.

[4]  E. Ott,et al.  Controlling Chaotic Dynamical Systems , 1991, 1991 American Control Conference.

[5]  T. Vincent,et al.  Control of a chaotic system , 1991 .

[6]  Tom T. Hartley,et al.  Classical control of a chaotic system , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[7]  J. Álvarez-Gallegos,et al.  Nonlinear regulation of a Lorenz system by feedback linearization techniques , 1994 .

[8]  Tet Hin Yeap,et al.  Feedback control of chaotic systems , 1994 .