Affiliation:
1. School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255000, China
2. School of Basic Science for Aviation, Naval Aviation University, Yantai 264001, China
Abstract
Abstract
Fractional-order derivatives provide a powerful tool for the characterization of mechanical properties of viscoelastic materials. Fractional oscillators are mechanical models of viscoelastically damped structures, the viscoelastic damping of which is described by fractional-order constitutive equations. This paper proposes sliding mode control for a two-degree-of-freedom fractional Zener oscillator. Firstly, a virtual fractional oscillator is generated by means of a state transformation. Then, the total mechanical energy in the virtual oscillator is determined as the sum of the kinetic energy, the potential energy, and the fractional energy. Furthermore, sliding mode control for the fractional Zener oscillator is designed, in which the Lyapunov function is defined by the total mechanical energy. Finally, numerical simulations are conducted to validate the effectiveness of the proposed controllers.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference43 articles.
1. Recent Advances in Nonlinear Passive Vibration Isolators;J. Sound Vib.,2008
2. Bagley,
R. L., 1979, “
Applications of Generalized Derivatives to Viscoelasticity,” Ph.D. thesis, Air Force Institute of Technology, Wright-Patterson Air Force Base, OH.
3. Fractional Calculus-a Different Approach to the Analysis of Viscoelastically Damped Structures;AIAA J.,1983
4. A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity;J. Rheol.,1983
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献