Abstract— This paper deals with the finite-time chaos control problem of unified chaotic systems. Based on the finite-time stability theory and system immersion and manifold invariance (I&I) which is a geometric order reducing control approach, a nonlinear control law is proposed to stabilize the unified chaotic system in a finite time. The control law is designed by immerging the unified chaotic system into a one-dimensional finite-time stable system. In the process of control design, this approach does not require the knowledge of Lyapunov function. And it is able to deal with finite-time control problem of nonlinear system with high dimension. The general results obtained in the paper are proved through theory analysis. Simulation results are provided to verify the effectiveness of the presented scheme.
Index Terms— Unified chaotic systems, finite-time control, I&I.
Q. Y. Xie and Y. Zuo are with the School of Energy and Power Engineering, Changsha University of Science and Technology, Changsha 410076, China (e-mail: qiyuexie@ gmail.com, yizuohnu@ gmail.com).
X. L. Wang is with the School of Information Science and Engineering, Central South University, Changsha 410083, China (e-mail: xlwang@csu.edu.cn).
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Cite: Qiyue Xie, Xiaoli Wang, and Yi Zuo, " Finite-Time Control of Unified Chaotic Systems via I&I," International Journal of Information and Electronics Engineering vol. 4, no. 4, pp. 322-325, 2014.
