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Exponentially Stabilizing Finite- Dimensional Controllers for Linear Distributed Parameter Systems: Galerkin Approximation of Infinite Dimensional Controllers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Balas, Mark J. |
| Copyright Year | 1986 |
| Abstract | Abstract The Galerkin method is presented as a way to develop finite-dimensional controllers for linear distributed parameter systems (DPS). The direct approach approximates the open-loop DPS and then generates the controller from this approximation; the indirect approach approximates the infinite-dimensional stabilizing controller. The indirect approach is shown to converge to the stable closed-loop system consisting of DPS and infinite-dimensional controller; conditions are presented on the behavior of the Galerkin method for the open-loop DPS which guarantee closed-loop stability for large enough finite-dimensional approximations. |
| Starting Page | 358 |
| Ending Page | 384 |
| Page Count | 27 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-247X(86)90230-1 |
| Volume Number | 117 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82096932.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-247X%2886%2990230-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
