Partial Moments in System Identification
暫譯: 系統辨識中的部分矩量
Ouvrard, Régis, Poinot, Thierry, Trigeassou, Jean-Claude
- 出版商: Springer
- 出版日期: 2024-09-03
- 售價: $5,590
- 貴賓價: 9.5 折 $5,311
- 語言: 英文
- 頁數: 172
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031581555
- ISBN-13: 9783031581557
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商品描述
This book provides a complete round-up of developments concerned with the application of partial moments in system identification and data-driven modelling; it captures the essence of work carried out at the Laboratoire d'Informatique et d'Automatique pour les Systèmes for more than 40 years.
The book begins with introductory material, describing both the mathematical tools associated with partial moments and reinitialized partial moments and an example demonstrating their use. The authors then proceed to show how these tools can be used for the identification of continuous-time linear models, discrete-time linear models, continuous-time linear state-space models, linear parameter-varying models and multidimensional models based on partial differential equations. The properties and performances of each of these approaches are presented. The analogy with algebraic approaches is proved, thus opening perspectives for extension to other fields. The text removes some long-standing limitations on the implementation of partial-moment-based tools in system identification.
This book is of interest to researchers and postgraduates studying system identification, control theory, applied mathematics and computer science. It is also useful for engineers working on industrial applications of the parametric estimation of mathematical models.
商品描述(中文翻譯)
本書全面回顧了與部分矩在系統識別和數據驅動建模應用相關的發展，捕捉了在系統資訊與自動化實驗室（Laboratoire d'Informatique et d'Automatique pour les Systèmes）進行的工作精髓，這些工作已持續超過40年。
本書以介紹性材料開始，描述了與部分矩和重新初始化部分矩相關的數學工具，以及一個展示其使用的範例。然後，作者展示了這些工具如何用於識別連續時間線性模型、離散時間線性模型、連續時間線性狀態空間模型、線性參數變化模型以及基於偏微分方程的多維模型。每種方法的特性和性能都得到了呈現。與代數方法的類比得到了證明，從而為擴展到其他領域開啟了新的視角。文本消除了在系統識別中實施基於部分矩工具的一些長期限制。
本書對於研究系統識別、控制理論、應用數學和計算機科學的研究人員和研究生具有興趣。對於從事數學模型參數估計的工業應用的工程師來說，本書也非常有用。
作者簡介
Régis Ouvrard did all his graduate studies at the University of Poitiers: M.S. degree in Electronics, Electrical Engineering and Automation in 1992, Certificate of aptitude for secondary school teachers in Electronics in 1996, Ph.D. degree in Automatic Control in 1997 and Accreditation to supervise research in 2022. Since 1999, he has been an associate professor at the University Institute of Technology in Poitiers.
His research topics are dedicated to system identification and data-driven modelling. He has contributed significantly to the dissemination of the tools based on partial moments in system identification.
The common denominator in the application of the tools that Régis Ouvrard develops is the protection of the environment and biodiversity. For example, he is currently proposing new population dynamics models to study the impacts of global changes on biodiversity.
Thierry Poinot received his Ph.D. in 1996 from the University of Poitiers, France, in the field of automatic control. He has been a professor at the University of Poitiers since 1996. He is a member of the Computer Science and Automatic Control for Systems Laboratory at the University of Poitiers, of which he has been the director since 2022. His research interests are in the areas of system identification and data-driven modelling, including the identification of linear and nonlinear continuous-time systems, the identification of linear parameter-varying systems, and the modelling and identification of fractional systems. His current activities focus on modelling and identifying Li-ion batteries and modelling population dynamics applied to biodiversity.
Jean-Claude Trigeassou received the Maîtrise EEA diploma from the University of Bordeaux in 1969, the French Agrégation of applied physics in 1971, the Ph.D. degree and the Doctorat d'Etat in automatic control in 1981 and 1987. From 1988 to 2006, he has been a professor at ESIP in Poitiers University. Since his retirement, he developed an original theory entitled Infinite State Representation of fractional order differential systems.
His first thesis was dedicated to the method of moments with applications to identification and control. Then, he defined and developed the reinitialized partial moment theory and its application to the identification of discrete and continuous-time systems. In parallel, he has investigated output error identification methodology and particularly parameter estimation of continuous systems with application to the diagnosis of electrical machines.
作者簡介(中文翻譯)
雷吉斯·烏夫拉爾 (Régis Ouvrard) 在普瓦捷大學完成了所有研究生學業：1992年獲得電子學、電氣工程與自動化碩士學位，1996年獲得電子學中學教師資格證書，1997年獲得自動控制博士學位，並於2022年獲得研究指導資格。自1999年以來，他一直擔任普瓦捷大學技術學院的副教授。
他的研究主題專注於系統識別和數據驅動建模。他對基於部分矩的系統識別工具的推廣做出了重要貢獻。
雷吉斯·烏夫拉爾所開發工具的共同特點是環境和生物多樣性的保護。例如，他目前正在提出新的種群動態模型，以研究全球變化對生物多樣性的影響。
蒂埃里·波瓦諾 (Thierry Poinot) 於1996年在法國普瓦捷大學獲得自動控制領域的博士學位。自1996年以來，他一直是普瓦捷大學的教授。他是普瓦捷大學計算機科學與系統自動控制實驗室的成員，自2022年以來擔任該實驗室的主任。他的研究興趣包括系統識別和數據驅動建模，涵蓋線性和非線性連續時間系統的識別、線性參數變化系統的識別，以及分數系統的建模和識別。他目前的活動集中在鋰離子電池的建模與識別，以及應用於生物多樣性的種群動態建模。
讓-克勞德·特里基亞索 (Jean-Claude Trigeassou) 於1969年在波爾多大學獲得EEA碩士學位，1971年獲得法國應用物理學的高級教師資格，1981年和1987年獲得自動控制博士學位和國家博士學位。從1988年到2006年，他一直是普瓦捷大學ESIP的教授。自退休以來，他發展了一種名為「分數階微分系統的無限狀態表示」的原創理論。
他的第一篇論文專注於矩方法及其在識別和控制中的應用。隨後，他定義並發展了重新初始化的部分矩理論及其在離散和連續時間系統識別中的應用。與此同時，他還研究了輸出誤差識別方法，特別是連續系統的參數估計，並應用於電機的診斷。
