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
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Number of pages | 6 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Publication status | Online published - 19 Mar 2020 |
Link(s)
| DOI | DOI |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(6b024910-e4c9-411d-9371-968435934598).html |
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 infinity 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, 19.03.2020.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal
