Abstract
This paper deals with the stabilization problem of the rotating disk-beam system with infinite memory in the moment control. A linear feedback law is proposed, which consists of a torque control and a moment control with an infinite memory term. It is shown that the closed-loop system is well-posed and exponentially stable provided that the desired constant angular velocity and the memory kernel function satisfy certain conditions. The main ingredient of the proof is the frequency-domain method. Numerical simulations are also put forward to validate the results.
| Original language | English |
|---|---|
| Pages (from-to) | 845-865 |
| Number of pages | 21 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 58 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2020 |
| Externally published | Yes |
Keywords
- Exponential stability
- Frequency multiplier domain method
- Infinite memory
- Moment control
- Rotating disk-beam
- Torque control
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics