Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems

作者：Yin, Chun^*; Cheng, Yuhua; Chen, YangQuan; Stark, Brandon; Zhong, Shouming

来源：Nonlinear Dynamics, 2015, 82(1-2): 39-52.

DOI：10.1007/s11071-015-2136-8

• Fractional-order switching-type control law
• Sliding mode control
• Reaching time
• 3D fractional-order nonlinear system
• Adaptive sliding mode technique

In this paper, an adaptive sliding mode technique based on a fractional-order (FO) switching-type control law is designed to guarantee robust stability for uncertain 3D FO nonlinear systems. A novel FO switching-type control law is proposed to ensure the existence of the sliding motion in finite time. Appropriate adaptive laws are shown to tackle the uncertainty and external disturbance. The calculation formula of the reaching time is analyzed and computed. The reachability analysis is visualized to show how to obtain a shorter reaching time. A stability criterion of the FO sliding mode dynamics is derived based on indirect approach to Lyapunov stability. Advantages of the proposed control scheme are illustrated through numerical simulations.

• 出版日期2015-10
• 单位电子科技大学