Name
Abstract | ||
|---|---|---|
The numerical realization of closed loop control for distributed parameter systems is still a significant challenge and in fact infeasible unless specific structural techniques are employed. In this paper we propose the combination of model reduction techniques based on proper orthogonal decomposition (POD) with the numerical treatment of the Hamilton-Jacobi-Bellman (HJB) equation for infinite horizon optimal control problems by a modi. cation of an algorithm originated by Gonzales and Rofman and further developed by Falcone and Ferretti. The feasibility of the proposed methodology is demonstrated numerically by means of optimal boundary feedback control for the Burgers equation with noise in the initial condition and in the forcing function. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/030600485 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
dynamic programming,Hamilton-Jacobi-Bellman equation,closed loop control,evolution problems,proper orthogonal decomposition,Burgers equation | Hamilton–Jacobi–Bellman equation,Dynamic programming,Point of delivery,Optimal control,Control theory,Proper orthogonal decomposition,Burgers' equation,Distributed parameter system,Initial value problem,Mathematics | Journal |
Volume | Issue | ISSN |
3 | 4 | 1536-0040 |
Citations | PageRank | References |
18 | 2.55 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Karl Kunisch | 1 | 1370 | 145.58 |
| Stefan Volkwein | 2 | 314 | 41.76 |
| Lei Xie | 3 | 24 | 8.44 |