NDLI: Sliding mode control with a second-order switching law for a class of nonlinear fractional order systems

Content Provider	Springer Nature Link
Author	Chen, Yuquan Wei, Yiheng Zhong, Hua Wang, Yong
Copyright Year	2016
Abstract	This article investigates a novel sliding model control approach for a class of nonlinear fractional order systems. In particular, the sliding surface with additional nonlinear part is designed by a Lyapunov-like function and one can achieve much more satisfying system performances by selecting suitable parameters. Moreover, a second-order switching law is generated from the commonly used adaptive switching law. Its properties are carefully discussed, and it is proven that the reaching time of the sliding surface can be guaranteed nonsensitive to the initial conditions with the second-order switching law, while the adaptive switching law cannot even guarantee the finite-time convergence. Then the stability of the closed-loop control system is rigorously analyzed via indirect Lyapunov method. Finally, simulation examples are presented to illustrate the effectiveness of the proposed control method.
Starting Page	633
Ending Page	643
Page Count	11
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	85
Issue Number	1
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-03-10
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fractional order systems Sliding mode control Second-order switching law Indirect Lyapunov method Frequency distributed model Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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