Computing Dynamic Output Feedback Laws
| dc.creator | Verschelde, Jan | |
| dc.creator | Wang, Yusong | |
| dc.date | 2003-06-03 | |
| dc.date.accessioned | 2026-07-07T04:58:33Z | |
| dc.date.available | 2026-07-07T04:58:33Z | |
| dc.description | The pole placement problem asks to find laws to feed the output of a plant governed by a linear system of differential equations back to the input of the plant so that the resulting closed-loop system has a desired set of eigenvalues. Converting this problem into a question of enumerative geometry, efficient numerical homotopy algorithms to solve this problem for general Multi-Input-Multi-Output (MIMO) systems have been proposed recently. While dynamic feedback laws offer a wider range of use, the realization of the output of the numerical homotopies as a machine to control the plant in the time domain has not been addressed before. In this paper we present symbolic-numeric algorithms to turn the solution to the question of enumerative geometry into a useful control feedback machine. We report on numerical experiments with our publicly available software and illustrate its application on various control problems from the literature. | |
| dc.description | 20 pages, 3 figures; the software described in this paper is publicly available via http://www.math.uic.edu/~jan/download.html | |
| dc.identifier | https://arxiv.org/abs/math/0306063 | |
| dc.identifier | http://arxiv.org/abs/math/0306063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67680 | |
| dc.subject | Optimization and Control | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 93B55; 14Q99, 65H10, 68W30, 93B27 | |
| dc.title | Computing Dynamic Output Feedback Laws | |
| dc.type | text |