Adaptive stabilization of uncertain unified chaotic systems with nonlinear input

作者：Zhang, Zhengqiang^*; Shen, Hao; Li, Junling

来源：Applied Mathematics and Computation, 2011, 218(8): 4260-4267.

DOI：10.1016/j.amc.2011.09.056

• Unified chaotic systems
• Adaptive feedback control
• Chaos control
• Chaos stabilization
• Input nonlinearity

This paper addresses the problem of adaptive stabilization of uncertain unified chaotic systems with nonlinear input in the sector form. A novel representation of nonlinear input function, that is, a linear input with bounded time-varying coefficient, is firstly established. Then, an adaptive control scheme is proposed based on the new nonlinear input model. By using Barbalat's lemma, the asymptotic stability of the closed-loop system is proved in spite of system uncertainties, external disturbance and input nonlinearity. One of the advantages of the proposed design method is that the prior knowledge on the plant parameter, the bound parameters of the uncertainties and the slope parameters inside the sector nonlinearity is not required. Finally, numerical simulations are performed to verify the analytical results.

• 出版日期2011-12-15
• 单位安徽工业大学; 东北大学; 曲阜师范大学