论文信息 - Control of chaos in Lorenz system

Control of chaos in Lorenz system

Abstract A strategy is proposed to control Lorenz chaos, whereby a sliding surface is assigned such that a sliding mode motion occurs when the proposed control law is applied. The results show that only part of the system state can be regulated arbitrarily, due to the structure of the Lorenz system and the applied control variable. The paper also provides a further discussion on the resulting system behavior, which is not addressed in the literature.

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

[2] Joaquin Alvarez Gallegos. Nonlinear regulation of a Lorenz System by feedback linearization techniques. , 1994 .

[3] Xinghuo Yu. Controlling Lorenz chaos , 1996, Int. J. Syst. Sci..

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

[5] Chieh-Li Chen,et al. Tracking Control of Robot Manipulator Using Sliding Mode Controller With Performance Robustness , 1999 .

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

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

[8] Sahjendra N. Singh,et al. Adaptive Control of Chaos in Lorenz System , 1997 .

[9] Tung,et al. Controlling chaos using differential geometric method. , 1995, Physical review letters.

[10] Ying-Cheng Lai,et al. Controlling chaos , 1994 .

[11] J. P. Kernévez,et al. Controllability of Lorenz Equation , 1991 .