Idris Kempf , Glenn B. Christian , Michael Abbott , Lorraine Bobb , Paul J. Goulart , Stephen R. Duncan
{"title":"基于广义奇异值分解的多阵交叉系统控制","authors":"Idris Kempf , Glenn B. Christian , Michael Abbott , Lorraine Bobb , Paul J. Goulart , Stephen R. Duncan","doi":"10.1016/j.automatica.2025.112431","DOIUrl":null,"url":null,"abstract":"<div><div>Diamond Light Source produces synchrotron radiation by accelerating electrons to relativistic speeds. In order to maximise the intensity of the radiation, vibrations of the electron beam are attenuated by a multi-input multi-output (MIMO) control system actuating hundreds of magnets at rates exceeding 10<!--> <!-->kHz. For future accelerator configurations, in which two separate arrays of magnets with different bandwidths and constraints are used in combination, standard accelerator control design methods are not suitable. To address this, we develop a transformation based on the generalised singular value decomposition (GSVD) to decouple the two-array cross-directional (CD) dynamics into sets of two-input single-output (TISO) and single-input single-output (SISO) systems. This transformation allows the controller to be designed in modal space using SISO and TISO methods and to be tuned to each actuator array separately. The non-orthogonality of the GSVD and potentially ill-conditioned response matrices are compensated for by incorporating static compensator matrices. This approach results in a simple controller structure that can be implemented to meet the 100<!--> <!-->kHz sampling frequency of the Diamond’s future configuration with 252 outputs and 396 inputs. The GSVD-based design is implemented and validated through real-world experiments at Diamond. Our approach provides a natural extension of the modal decomposition for single-array systems and has potential application in other CD systems, including paper making, steel rolling, or battery manufacturing processes.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112431"},"PeriodicalIF":4.8000,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Control of multi-array cross-directional systems using the generalised singular value decomposition\",\"authors\":\"Idris Kempf , Glenn B. Christian , Michael Abbott , Lorraine Bobb , Paul J. Goulart , Stephen R. Duncan\",\"doi\":\"10.1016/j.automatica.2025.112431\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Diamond Light Source produces synchrotron radiation by accelerating electrons to relativistic speeds. In order to maximise the intensity of the radiation, vibrations of the electron beam are attenuated by a multi-input multi-output (MIMO) control system actuating hundreds of magnets at rates exceeding 10<!--> <!-->kHz. For future accelerator configurations, in which two separate arrays of magnets with different bandwidths and constraints are used in combination, standard accelerator control design methods are not suitable. To address this, we develop a transformation based on the generalised singular value decomposition (GSVD) to decouple the two-array cross-directional (CD) dynamics into sets of two-input single-output (TISO) and single-input single-output (SISO) systems. This transformation allows the controller to be designed in modal space using SISO and TISO methods and to be tuned to each actuator array separately. The non-orthogonality of the GSVD and potentially ill-conditioned response matrices are compensated for by incorporating static compensator matrices. This approach results in a simple controller structure that can be implemented to meet the 100<!--> <!-->kHz sampling frequency of the Diamond’s future configuration with 252 outputs and 396 inputs. The GSVD-based design is implemented and validated through real-world experiments at Diamond. Our approach provides a natural extension of the modal decomposition for single-array systems and has potential application in other CD systems, including paper making, steel rolling, or battery manufacturing processes.</div></div>\",\"PeriodicalId\":55413,\"journal\":{\"name\":\"Automatica\",\"volume\":\"179 \",\"pages\":\"Article 112431\"},\"PeriodicalIF\":4.8000,\"publicationDate\":\"2025-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automatica\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0005109825003255\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109825003255","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Control of multi-array cross-directional systems using the generalised singular value decomposition
Diamond Light Source produces synchrotron radiation by accelerating electrons to relativistic speeds. In order to maximise the intensity of the radiation, vibrations of the electron beam are attenuated by a multi-input multi-output (MIMO) control system actuating hundreds of magnets at rates exceeding 10 kHz. For future accelerator configurations, in which two separate arrays of magnets with different bandwidths and constraints are used in combination, standard accelerator control design methods are not suitable. To address this, we develop a transformation based on the generalised singular value decomposition (GSVD) to decouple the two-array cross-directional (CD) dynamics into sets of two-input single-output (TISO) and single-input single-output (SISO) systems. This transformation allows the controller to be designed in modal space using SISO and TISO methods and to be tuned to each actuator array separately. The non-orthogonality of the GSVD and potentially ill-conditioned response matrices are compensated for by incorporating static compensator matrices. This approach results in a simple controller structure that can be implemented to meet the 100 kHz sampling frequency of the Diamond’s future configuration with 252 outputs and 396 inputs. The GSVD-based design is implemented and validated through real-world experiments at Diamond. Our approach provides a natural extension of the modal decomposition for single-array systems and has potential application in other CD systems, including paper making, steel rolling, or battery manufacturing processes.
期刊介绍:
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.