Simplifying the H∞ theory via loop shifting
The 2-Riccati H∞ controller formulas and their derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix closely related to the Luenberger descriptor form of a system. The technique enables one, without loss of...
| Main Authors: | , |
|---|---|
| Format: | Conference item |
| Published: |
IEEE
1988
|
| _version_ | 1826275762923110400 |
|---|---|
| author | Safonov, MG Limebeer, D |
| author_facet | Safonov, MG Limebeer, D |
| author_sort | Safonov, MG |
| collection | OXFORD |
| description | The 2-Riccati H∞ controller formulas and their derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix closely related to the Luenberger descriptor form of a system. The technique enables one, without loss of generality, to restrict attention to a simple case. Matrix fraction descriptions for the algebraic Riccati equation solutions afford another change of variables which brings the 2-Riccati H∞ controller formulas into a cleaner, more symmetric descriptor form, with the important practical advantage that it eliminates the numerical difficulties that can occur in cases where one or both of the Riccati solutions blowup. |
| first_indexed | 2024-03-06T23:03:44Z |
| format | Conference item |
| id | oxford-uuid:63108ed5-de0f-4a31-90b3-5a08d8550428 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:03:44Z |
| publishDate | 1988 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oxford-uuid:63108ed5-de0f-4a31-90b3-5a08d85504282022-03-26T18:10:20ZSimplifying the H∞ theory via loop shiftingConference itemhttp://purl.org/coar/resource_type/c_5794uuid:63108ed5-de0f-4a31-90b3-5a08d8550428Symplectic Elements at OxfordIEEE1988Safonov, MGLimebeer, DThe 2-Riccati H∞ controller formulas and their derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix closely related to the Luenberger descriptor form of a system. The technique enables one, without loss of generality, to restrict attention to a simple case. Matrix fraction descriptions for the algebraic Riccati equation solutions afford another change of variables which brings the 2-Riccati H∞ controller formulas into a cleaner, more symmetric descriptor form, with the important practical advantage that it eliminates the numerical difficulties that can occur in cases where one or both of the Riccati solutions blowup. |
| spellingShingle | Safonov, MG Limebeer, D Simplifying the H∞ theory via loop shifting |
| title | Simplifying the H∞ theory via loop shifting |
| title_full | Simplifying the H∞ theory via loop shifting |
| title_fullStr | Simplifying the H∞ theory via loop shifting |
| title_full_unstemmed | Simplifying the H∞ theory via loop shifting |
| title_short | Simplifying the H∞ theory via loop shifting |
| title_sort | simplifying the h∞ theory via loop shifting |
| work_keys_str_mv | AT safonovmg simplifyingthehtheoryvialoopshifting AT limebeerd simplifyingthehtheoryvialoopshifting |