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 the 2- and 3-TORA systems to validate the result of the global stabilization.
| Original language | English |
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| Title of host publication | 2015 54th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 765-770 |
| Number of pages | 6 |
| ISBN (Print) | 9784907764487 |
| DOIs | |
| Publication status | Published - Sept 30 2015 |
| Event | 54th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2015 - Hangzhou, China Duration: Jul 28 2015 → Jul 30 2015 |
Other
| Other | 54th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2015 |
|---|---|
| Country/Territory | China |
| City | Hangzhou |
| Period | 7/28/15 → 7/30/15 |
Keywords
- Global stabilization
- Lyapunov stability theory
- PD control
- rotational actuator
- translational oscillator
ASJC Scopus subject areas
- Control and Systems Engineering