PASSIVE CONTROL OF HYPERCHAOTIC LORENZ SYSTEM AND CIRCUIT EXPERIMENTAL ON EWB

Based on the property of a passive system, the essential conditions under which a hyperchaotic Lorenz system could be equivalent to a passive system via smooth state feedback are derived, making the minimum phase hyperchaotic Lorenz system globally asymptotically stabilized at zero and at any desired equilibrium points. The results of simulation on Matlab and the circuit experiment on EWB confirm the effectiveness of the proposed hyperchaos control method.

[1]  Hiroyuki Nakajima,et al.  Delayed Feedback Control with State Predictor for Continuous-Time Chaotic Systems , 2002, Int. J. Bifurc. Chaos.

[2]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[3]  Ming-Jyi Jang,et al.  Sliding mode control of hyperchaos in Rössler systems , 2002 .

[4]  Liu Zeng-rong,et al.  Controlling hyperchaos in planar systems by adjusting parameters , 2003 .

[5]  Guanrong Chen,et al.  A New Chaotic System and its Generation , 2003, Int. J. Bifurc. Chaos.

[6]  Chunde Yang,et al.  Speed feedback control of chaotic system , 2004 .

[7]  Bing-Hong Wang,et al.  CONTROLLING CHAOS AND HYPERCHAOS BY SWITCHING MODULATION OF SYSTEMS PARAMETERS , 2004 .

[8]  Jitao Sun,et al.  Impulsive control of a new chaotic system , 2004, Math. Comput. Simul..

[9]  Changchun Hua,et al.  Adaptive feedback control for a class of chaotic systems , 2005 .

[10]  Yuxia Li,et al.  Dynamical analysis and impulsive control of a new hyperchaotic system , 2005, Math. Comput. Model..

[11]  Zhenya Yan,et al.  Controlling hyperchaos in the new hyperchaotic Chen system , 2005, Appl. Math. Comput..

[12]  Hao Zhang,et al.  Controlling and tracking hyperchaotic Rössler system via active backstepping design , 2005 .

[13]  Guanrong Chen,et al.  Hyperchaos evolved from the generalized Lorenz equation , 2005, Int. J. Circuit Theory Appl..

[14]  Ganesh B. Maganti,et al.  Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement , 2006 .

[15]  Simin Yu,et al.  Generating hyperchaotic Lü attractor via state feedback control , 2006 .