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- Title
Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems.
- Authors
Yin, Chun; Cheng, Yuhua; Chen, YangQuan; Stark, Brandon; Zhong, Shouming
- Abstract
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.
- Subjects
SLIDING mode control; FRACTIONAL differential equations; NONLINEAR systems; LYAPUNOV stability; FRACTIONAL calculus; CONTROL theory (Engineering)
- Publication
Nonlinear Dynamics, 2015, Vol 82, Issue 1/2, p39
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-015-2136-8