Asymptotic pseudo-state stabilization of commensurate fractional-order nonlinear systems with additive disturbance

作者：Ding, Dongsheng^*; Qi, Donglian; Peng, Junmin; Wang, Qiao

来源：Nonlinear Dynamics, 2015, 81(1-2): 667-677.

DOI：10.1007/s11071-015-2018-0

• Fractional-order nonlinear system
• Fractional Lyapunov stability
• Adaptive control
• Fractional-order backstepping

The pseudo-state stabilization problem of commensurate fractional-order nonlinear systems is investigated. The concerned fractional-order nonlinear system is of parametric strict-feedback form with both unknown parameters and the additive disturbance. To solve this problem, a new nonlinear adaptive control law is constructed via fractional-order backstepping scheme. The developed fractional-order controller does not require the knowledge about both the interval of uncertain parameters and the upper bound of the additive disturbance. The asymptotic pseudo-state stability of the closed-loop system is proved in terms of fractional Lyapunov stability. Several examples are performed finally, and the efficiency is verified.

• 出版日期2015-7
• 单位浙江大学