Optimal open/closed-loop control for systems with distributed parameter
An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open- and closed-loop mechanism is incorporated into the formulation of the problem and a general method of solution is presented. Two performance indices are...
Uložené v:
| Vydané v: | Journal of the Franklin Institute Ročník 332; číslo 1; s. 5 - 19 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier Ltd
1995
|
| ISSN: | 0016-0032, 1879-2693 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Shrnutí: | An optimal control problem for multi-dimensional structures described by a system of partial differential equations is considered. A combined open- and closed-loop mechanism is incorporated into the formulation of the problem and a general method of solution is presented. Two performance indices are introduced and minimized with respect to the open-loop control functions and the closed-loop control parameters. The optimality condition for the open-loop control is derived in form of the integral equations by using the methods of eigenfunction expansion and variational calculus. The closed-loop control parameters are numerically determined from the minimization of the energy of the system subject to a constraint on the maximum amount of closed-loop control force that can be applied. The proposed approach is applied to a shear deformable beam excited by an initial disturbance. An explicit solution of the problem is obtained and numerical results are given to investigate the effectiveness of the proposed control mechanism. |
|---|---|
| ISSN: | 0016-0032 1879-2693 |
| DOI: | 10.1016/0016-0032(94)00018-F |