Normalized H(infinity) controller reduction with A Priori error bounds
This note describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H∞ problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee an...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1797071336483323904 |
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| author | El-Zobaidi, H Jaimoukha, I Limebeer, D |
| author_facet | El-Zobaidi, H Jaimoukha, I Limebeer, D |
| author_sort | El-Zobaidi, H |
| collection | OXFORD |
| description | This note describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H∞ problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee and an upper bound on the performance degradation when the reduced order controller is implemented. When the approximation is performed on the controller generator, guaranteed a priori stability and performance bounds are obtained in terms of the synthesis Riccati equation solutions of the normalized H∞ control problems. |
| first_indexed | 2024-03-06T22:51:44Z |
| format | Journal article |
| id | oxford-uuid:5f0532aa-181b-4d00-ba28-bf3a2f7c133c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:51:44Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:5f0532aa-181b-4d00-ba28-bf3a2f7c133c2022-03-26T17:44:15ZNormalized H(infinity) controller reduction with A Priori error boundsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5f0532aa-181b-4d00-ba28-bf3a2f7c133cEnglishSymplectic Elements at Oxford2001El-Zobaidi, HJaimoukha, ILimebeer, DThis note describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H∞ problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee and an upper bound on the performance degradation when the reduced order controller is implemented. When the approximation is performed on the controller generator, guaranteed a priori stability and performance bounds are obtained in terms of the synthesis Riccati equation solutions of the normalized H∞ control problems. |
| spellingShingle | El-Zobaidi, H Jaimoukha, I Limebeer, D Normalized H(infinity) controller reduction with A Priori error bounds |
| title | Normalized H(infinity) controller reduction with A Priori error bounds |
| title_full | Normalized H(infinity) controller reduction with A Priori error bounds |
| title_fullStr | Normalized H(infinity) controller reduction with A Priori error bounds |
| title_full_unstemmed | Normalized H(infinity) controller reduction with A Priori error bounds |
| title_short | Normalized H(infinity) controller reduction with A Priori error bounds |
| title_sort | normalized h infinity controller reduction with a priori error bounds |
| work_keys_str_mv | AT elzobaidih normalizedhinfinitycontrollerreductionwithapriorierrorbounds AT jaimoukhai normalizedhinfinitycontrollerreductionwithapriorierrorbounds AT limebeerd normalizedhinfinitycontrollerreductionwithapriorierrorbounds |