Name
Title | ||
|---|---|---|
Inverse optimal control of evolution systems and its application to extensible and shearable slender beams |
Abstract | ||
|---|---|---|
An optimal ( practical ) stabilization problem is for mulated in an inverse approach and solved for nonlinear evolution systems in Hilbert spaces. The optimal control design ensures global well-posedness and global practical K∞ -exponential stability of the closed-loop system, minimizes a cost functional, which appropriately penalizes both state and control in the sense that it is positive definite ( and radially unbounded ) in the state and control, without having to solve a Hamilton-Jacobi-Belman equation ( HJBE ). The Lyapunov functional used in the control design explicitly solves a family of HJBEs. The results are applied to design inverse optimal boundary stabilization control laws for extensible and shearable slender beams governed by fully nonlinear partial differential equations. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/JAS.2019.1911381 | IEEE/CAA Journal of Automatica Sinica |
Keywords | Field | DocType |
Boundary control,evolution system,Hilbert space,inverse optimal control,slender beams | Hilbert space,Inverse,Nonlinear system,Optimal control,Control theory,Positive-definite matrix,Exponential stability,Beam (structure),Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
6 | 2 | 2329-9266 |
Citations | PageRank | References |
1 | 0.35 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. D. Do | 1 | 472 | 33.49 |
| A. D. Lucey | 2 | 8 | 1.93 |