A Framework for Discrete-Time H-2 Preview Control
The purpose of this paper is to provide a set of synthesis and design tools for a wide class of H2 preview control systems. A generic preview design problem, which features both previewable and nonpreviewable disturbances, is embedded in a standard generalized regulator framework. Preview regulation...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1797097806293368832 |
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| author | Hazell, A Limebeer, D |
| author_facet | Hazell, A Limebeer, D |
| author_sort | Hazell, A |
| collection | OXFORD |
| description | The purpose of this paper is to provide a set of synthesis and design tools for a wide class of H2 preview control systems. A generic preview design problem, which features both previewable and nonpreviewable disturbances, is embedded in a standard generalized regulator framework. Preview regulation is accomplished by a two-degrees-of-freedom output-feedback controller. A number of theoretical issues are studied, including the efficient solution of the standard H2 full-information Riccati equation and the efficient evaluation of the full-information preview gain matrices. The full-information problem is then extended to include the efficient implementation of the output-feedback controller. The synthesis of feedforward controllers with preview is analyzed as a special case-this problem is of interest to designers who wish to introduce preview as a separate part of a system design. The way in which preview reduces the H2-norm of the closed-loop system is analyzed in detail. Closed-loop norm reduction formulas provide a systematic way of establishing how much preview is required to solve a particular problem, and determine when extending the preview horizon will not produce worthwhile benefits. The paper concludes with a summary of the main features of preview control, as well as some controller design insights. New application examples are introduced by reference. © 2010 by ASME. |
| first_indexed | 2024-03-07T05:00:32Z |
| format | Journal article |
| id | oxford-uuid:d81e9911-cedf-4a5c-bfb4-55b4cf611c5f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:00:32Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:d81e9911-cedf-4a5c-bfb4-55b4cf611c5f2022-03-27T08:46:03ZA Framework for Discrete-Time H-2 Preview ControlJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d81e9911-cedf-4a5c-bfb4-55b4cf611c5fEnglishSymplectic Elements at Oxford2010Hazell, ALimebeer, DThe purpose of this paper is to provide a set of synthesis and design tools for a wide class of H2 preview control systems. A generic preview design problem, which features both previewable and nonpreviewable disturbances, is embedded in a standard generalized regulator framework. Preview regulation is accomplished by a two-degrees-of-freedom output-feedback controller. A number of theoretical issues are studied, including the efficient solution of the standard H2 full-information Riccati equation and the efficient evaluation of the full-information preview gain matrices. The full-information problem is then extended to include the efficient implementation of the output-feedback controller. The synthesis of feedforward controllers with preview is analyzed as a special case-this problem is of interest to designers who wish to introduce preview as a separate part of a system design. The way in which preview reduces the H2-norm of the closed-loop system is analyzed in detail. Closed-loop norm reduction formulas provide a systematic way of establishing how much preview is required to solve a particular problem, and determine when extending the preview horizon will not produce worthwhile benefits. The paper concludes with a summary of the main features of preview control, as well as some controller design insights. New application examples are introduced by reference. © 2010 by ASME. |
| spellingShingle | Hazell, A Limebeer, D A Framework for Discrete-Time H-2 Preview Control |
| title | A Framework for Discrete-Time H-2 Preview Control |
| title_full | A Framework for Discrete-Time H-2 Preview Control |
| title_fullStr | A Framework for Discrete-Time H-2 Preview Control |
| title_full_unstemmed | A Framework for Discrete-Time H-2 Preview Control |
| title_short | A Framework for Discrete-Time H-2 Preview Control |
| title_sort | framework for discrete time h 2 preview control |
| work_keys_str_mv | AT hazella aframeworkfordiscretetimeh2previewcontrol AT limebeerd aframeworkfordiscretetimeh2previewcontrol AT hazella frameworkfordiscretetimeh2previewcontrol AT limebeerd frameworkfordiscretetimeh2previewcontrol |