Mittag-Leffler stabilization of fractional-order nonlinear systems with unknown control coefficients

作者：Wang, Xuhuan^*

来源：Advances in Difference Equations, 2018, 2018(1): 16.

DOI：10.1186/s13662-018-1470-9

• fractional order
• nonlinear systems
• backstepping
• adaptive control
• tuning function

In this paper, we consider the problem of Mittag-Leffler stabilization of fractional-order nonlinear systems with unknown control coefficients. With the help of backstepping design method, the stabilizing functions and tuning functions are constructed. The controller is designed to ensure that the pseudo-state of the fractional-order nonlinear system converges to the equilibrium. The effectiveness of the proposed method has been verified by some simulation examples.

• 出版日期2018-1-15
• 单位萍乡学院