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- Title
1716. PD control for global stabilization of an n-TORA system.
- Authors
Yannian Liu; Xin Xin
- Abstract
This paper concerns a global stabilization problem for an n-TORA (Translational Oscillator with a Rotational Actuator) system which consists of n carts connected to the fixed walls and each other by n+1 linear springs with each cart having an eccentric rotational proof-mass actuator moving in the horizontal plane. First, this paper derives the motion equation of the n-TORA system. Then, by using Lyapunov stability theory and physical properties of mechanical parameters of the n-TORA system, this paper proves that the global stabilization of the n-TORA system can be achieved by the PD control of the angle of the rotational proof-mass of each TORA. This paper presents numerical simulation results for 2- and 3-TORA systems to validate the result of the global stabilization.
- Subjects
OSCILLATIONS; ACTUATORS; LYAPUNOV functions; MECHANICAL vibration research; ENGINEERING
- Publication
Journal of Vibroengineering, 2015, Vol 17, Issue 6, p2795
- ISSN
1392-8716
- Publication type
Article