Name
Abstract | ||
|---|---|---|
This paper is concerned with the feedback stabilization problem of a rotating disk with a flexible beam attached to its center. We propose a torque control applied on the disk and a shear force control exerted at the free end of the beam which lead to a nondissipative closed-loop system. Despite this situation, we prove that the system can be nonuniformly exponentially stabilized provided that the angular velocity of the disk is less than the square root of the first eigenvalue of the self-adjoint positive operator of the open-loop system. This result is illustrated by a set of numerical simulations. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/130928406 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | Field | DocType |
rotating flexible structure,torque control,nondissipative boundary shear force control,exponential stability | Torque,Angular velocity,Mathematical analysis,Exponential stability,Operator (computer programming),Beam (structure),Shear force,Square root,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 5 | 0363-0129 |
Citations | PageRank | References |
4 | 0.49 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin Chen | 1 | 151 | 22.93 |
| Boumediène Chentouf | 2 | 24 | 7.00 |
| Jun-Min Wang | 3 | 219 | 29.95 |