An Algebraic Formula for Performance Bounds of a Weighted H∞ Optimal Control Problem
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 9042269 |
| Pages (from-to) | 781-786 |
| Number of pages | 6 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 66 |
| Issue number | 2 |
| Online published | 19 Mar 2020 |
| Publication status | Published - Feb 2021 |
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Abstract
This note provides performance bounds for a particular H∞ model matching problem. We consider scalar linear time invariant (LTI) plants in an one degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's Theorem is applied to this problem, leading to a simple algebraic equation for the optimal performance. This formula sheds light upon the effect that non-minimum phase zeros have on the optimal performance, and yields easily computable bounds and approximations.
Research Area(s)
- H∞ control, Discrete-time systems, Performance bounds
Citation Format(s)
An Algebraic Formula for Performance Bounds of a Weighted H∞ Optimal Control Problem. / Peters, Andres A.; Vargas, Francisco; Chen, Jie.
In: IEEE Transactions on Automatic Control, Vol. 66, No. 2, 9042269, 02.2021, p. 781-786.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
