An efficient algorithm for discrete-time H-infinity preview control
An efficient numerical solution to the output feedback, discrete-time, H∞ preview control problem is presented. The first step of the solution comes from embedding the preview control problem in a two-degree-of-freedom generalised regulator framework, in which the augmented system state includes a s...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1797071230389452800 |
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| author | Hazell, A Limebeer, D |
| author_facet | Hazell, A Limebeer, D |
| author_sort | Hazell, A |
| collection | OXFORD |
| description | An efficient numerical solution to the output feedback, discrete-time, H∞ preview control problem is presented. The first step of the solution comes from embedding the preview control problem in a two-degree-of-freedom generalised regulator framework, in which the augmented system state includes a segment of the (frequency weighted) previewed signal. An efficient method for solving the resulting inflated Discrete Algebraic Riccati Equations (DAREs) is then found. It is demonstrated that one need only solve an (estimation) Riccati equation with dimension that of the plant, and a control Riccati equation with dimension that of the plant and reference weighting taken together. The reduced control Riccati equation is the product of a recursive reduction, enabled by the zero eigenvalues in the associated closed-loop matrix. An added feature of the presented algorithm is that no 'large' matrix computations are required and no large matrices need be stored; only the edges of the full information Riccati equation solution are required when synthesising the controller. © 2008 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-06T22:50:16Z |
| format | Journal article |
| id | oxford-uuid:5e8b6528-9241-49aa-858f-dafa6b090eee |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:50:16Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:5e8b6528-9241-49aa-858f-dafa6b090eee2022-03-26T17:41:21ZAn efficient algorithm for discrete-time H-infinity preview controlJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5e8b6528-9241-49aa-858f-dafa6b090eeeEnglishSymplectic Elements at Oxford2008Hazell, ALimebeer, DAn efficient numerical solution to the output feedback, discrete-time, H∞ preview control problem is presented. The first step of the solution comes from embedding the preview control problem in a two-degree-of-freedom generalised regulator framework, in which the augmented system state includes a segment of the (frequency weighted) previewed signal. An efficient method for solving the resulting inflated Discrete Algebraic Riccati Equations (DAREs) is then found. It is demonstrated that one need only solve an (estimation) Riccati equation with dimension that of the plant, and a control Riccati equation with dimension that of the plant and reference weighting taken together. The reduced control Riccati equation is the product of a recursive reduction, enabled by the zero eigenvalues in the associated closed-loop matrix. An added feature of the presented algorithm is that no 'large' matrix computations are required and no large matrices need be stored; only the edges of the full information Riccati equation solution are required when synthesising the controller. © 2008 Elsevier Ltd. All rights reserved. |
| spellingShingle | Hazell, A Limebeer, D An efficient algorithm for discrete-time H-infinity preview control |
| title | An efficient algorithm for discrete-time H-infinity preview control |
| title_full | An efficient algorithm for discrete-time H-infinity preview control |
| title_fullStr | An efficient algorithm for discrete-time H-infinity preview control |
| title_full_unstemmed | An efficient algorithm for discrete-time H-infinity preview control |
| title_short | An efficient algorithm for discrete-time H-infinity preview control |
| title_sort | efficient algorithm for discrete time h infinity preview control |
| work_keys_str_mv | AT hazella anefficientalgorithmfordiscretetimehinfinitypreviewcontrol AT limebeerd anefficientalgorithmfordiscretetimehinfinitypreviewcontrol AT hazella efficientalgorithmfordiscretetimehinfinitypreviewcontrol AT limebeerd efficientalgorithmfordiscretetimehinfinitypreviewcontrol |