Name
Title | ||
|---|---|---|
On the Stabilization of the Disk-Beam System via Torque and Direct Strain Feedback Controls |
Abstract | ||
|---|---|---|
This note deals with the stabilization problem of a rotating disk-beam system. The proposed feedback law consists of a nonlinear torque control exerted on the disk, whereas a direct strain control is applied at the beam with a rigid offset. As a consequence, we end up with a nondissipative nonlinear hybrid PDE-ODE system and hence the existence and stability of solutions of the system cannot be addressed by using standard methods such as energy-multiplier or frequency-domain. To overcome this situation, we adopt the Riesz basis methodology and show that the closed-loop system is well-posed and stable as long as the angular velocity of the disk is less than a well-defined value related to the beam. The results are illustrated through a wide set of numerical examples. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/TAC.2015.2406974 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
Eigenvalues and eigenfunctions,Control theory,Closed loop systems,Stability analysis,Angular velocity,Torque control | Strain (chemistry),Nonlinear system,Torque,Angular velocity,Control theory,Beam (structure),Mathematics,Offset (computer science) | Journal |
Volume | Issue | ISSN |
PP | 99 | 0018-9286 |
Citations | PageRank | References |
6 | 0.53 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boumediène Chentouf | 1 | 24 | 7.00 |
| Jun-Min Wang | 2 | 219 | 29.95 |