Name
Abstract | ||
|---|---|---|
A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly coprime factorization of the system, while the recent system-level and input-output parametrizations require no doubly coprime factorization, but a set of equality constraints for achievable closed-loop responses. In this article, we present explicit affine mappings among Youla, system-level, and input-output parameterizations. Two direct implications of these affine mappings are: 1) any convex problem in the Youla, system-level, or input-output parameters can be equivalently and convexly formulated in any other one of these frameworks, including the convex system-level synthesis; 2) the condition of quadratic invariance is sufficient and necessary for the classical distributed control problem to admit an equivalent convex reformulation in terms of either Youla, system-level, or input-output parameters. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1109/TAC.2020.2979785 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Quadratic invariance (QI),stabilizing controller,system-level synthesis (SLS),Youla parameterization | Journal | 66 |
Issue | ISSN | Citations |
1 | 0018-9286 | 1 |
PageRank | References | Authors |
0.36 | 2 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yang Zheng | 1 | 267 | 18.67 |
| Luca Furieri | 2 | 1 | 0.36 |
| Antonis Papachristodoulou | 3 | 990 | 90.01 |
| Na Li | 4 | 652 | 106.02 |
| Maryam Kamgarpour | 5 | 180 | 27.26 |