Data-Driven, Nonparametric, Adaptive Control Theory
暫譯: 數據驅動的非參數自適應控制理論

Kurdila, Andrew J., L'Afflitto, Andrea, Burns, John a.

  • 出版商: Springer
  • 出版日期: 2025-06-11
  • 售價: $6,440
  • 貴賓價: 9.5$6,118
  • 語言: 英文
  • 頁數: 332
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031780027
  • ISBN-13: 9783031780028
  • 尚未上市,無法訂購

相關主題

商品描述

Data-Driven, Nonparametric, Adaptive Control Theory introduces a novel approach to the control of deterministic, nonlinear ordinary differential equations affected by uncertainties. The methods proposed enforce satisfactory trajectory tracking despite functional uncertainties in the plant model. The book employs the properties of reproducing kernel Hilbert (native) spaces to characterize both the functional space of uncertainties and the controller's performance. Classical control systems are extended to broader classes of problems and more informative characterizations of the controllers' performances are attained.

Following an examination of how backstepping control and robust control Lyapunov functions can be ported to the native setting, numerous extensions of the model reference adaptive control framework are considered. The authors' approach breaks away from classical paradigms in which uncertain nonlinearities are parameterized using a regressor vector provided a priori or reconstructed online. The problem of distributing the kernel functions that characterize the native space is addressed at length by employing data-driven methods in deterministic and stochastic settings.

The first part of this book is a self-contained resource, systematically presenting elements of real analysis, functional analysis, and native space theory. The second part is an exposition of the theory of nonparametric control systems design. The text may be used as a self-study book for researchers and practitioners and as a reference for graduate courses in advanced control systems design. MATLAB(R) codes, available on the authors' website, and suggestions for homework assignments help readers appreciate the implementation of the theoretical results.

商品描述(中文翻譯)

《數據驅動、非參數、自適應控制理論》介紹了一種新穎的方法,用於控制受不確定性影響的確定性非線性常微分方程。所提出的方法能夠在植物模型的功能不確定性下,強制實現滿意的軌跡跟蹤。該書利用再生核希爾伯特(本地)空間的特性來表徵不確定性的功能空間以及控制器的性能。經典控制系統被擴展到更廣泛的問題類別,並獲得了對控制器性能的更具信息性的表徵。

在檢視如何將反向步進控制和穩健控制的 Lyapunov 函數移植到本地設置後,考慮了模型參考自適應控制框架的多種擴展。作者的方法突破了經典範式,在這些範式中,不確定的非線性是使用事先提供的回歸向量或在線重建的方式進行參數化。通過在確定性和隨機環境中採用數據驅動的方法,詳細討論了表徵本地空間的核函數的分配問題。

本書的第一部分是一個自足的資源,系統地呈現實分析、泛函分析和本地空間理論的要素。第二部分則是非參數控制系統設計理論的闡述。該文本可作為研究人員和實踐者的自學書籍,以及高級控制系統設計研究生課程的參考資料。可在作者網站上獲得的 MATLAB(R) 代碼和作業建議幫助讀者理解理論結果的實施。

作者簡介

Professor Andrew J. Kurdila is an expert in reproducing kernel Hilbert spaces, Koopman theory, approximation theory, and control on native spaces. Among his numerous recognitions, we recall the W. Martin Johnson Professorship at Virginia Tech, the TEES faculty fellowship at Texas A&M University, and the AIAA associate fellowship to name a few. He is the author of 5 books on various topics in the general area of control theory and more than 300 peer-reviewed journal and conference papers.

Professor Andrea L'Afflitto is an expert in robust model reference adaptive control theory and its applications to autonomous aerospace systems. Dr. L'Afflitto is an AIAA Associate Fellow, one of the 2018 DARPA Young Faculty Awardees, and received numerous externally funded awards for his research in the area of adaptive control theory and autonomous uninhabited aerial vehicles. Presently, Dr. L'Afflitto is the Senior Editor for the Autonomous Systems track of the IEEE Transactionson Aerospace and Electronic Systems and is a member of the IEEE Editorial Board. He is the authors of a monograph on flight controls, 3 book chapters, and more than 40 peer-reviewed journal and conference papers. Finally, he served as the first editor for a contributed book on the guidance, navigation, and control of advanced aerospace systems.

Professor John A. Burns is the Hatcher Professor of Mathematics and Director of the Interdisciplinary Center for Applied Mathematics at Virginia Tech. He is an IEEE Lifetime Fellow, SIAM Fellow, and recipient of numerous awards in mathematics including the Idalia Reid Prize.Dr. Burns is an expert in optimal control theory, control of partial differential equations, and estimation theory. He is the author of 1 book on calculus of variations and more than 200 peer-reviewed journal and conference papers. Furthermore, he served as co-editor of two contributed books and principal or co-principal investigator for more than40 externally funded competitive research projects. Finally, Professor Burns delivered more than 250 invited talks at universities, world-class research centers, and international conferences. Presently, Dr. Burns serves as the Series Editor for the Monograph and Research Notes in Mathematics and served as editor-in-chief, associate editor, and editor for numerous journals in mathematics and control theory.

作者簡介(中文翻譯)

教授安德魯·J·庫爾迪拉是再生核希爾伯特空間、庫普曼理論、逼近理論及本地空間控制的專家。他獲得的眾多榮譽中,包括維吉尼亞理工大學的W.馬丁·約翰遜教授職位、德州農工大學的TEES教職員獎學金,以及美國航空航天學會(AIAA)的副會士等。他是控制理論一般領域中各種主題的5本書的作者,並發表了300多篇經過同行評審的期刊和會議論文。

教授安德烈亞·拉菲利托是穩健模型參考自適應控制理論及其在自主航空系統中的應用的專家。拉菲利托博士是美國航空航天學會(AIAA)的副會士,2018年DARPA青年教職員獎得主之一,並因其在自適應控制理論和自主無人飛行器領域的研究獲得多項外部資助獎項。目前,拉菲利托博士是《IEEE航空航天與電子系統學報》自主系統專欄的高級編輯,並且是IEEE編輯委員會的成員。他是一本有關飛行控制的專著的作者,撰寫了3個書章,以及40多篇經過同行評審的期刊和會議論文。最後,他擔任了一本有關先進航空系統的導航、引導和控制的貢獻書的首位編輯。

教授約翰·A·伯恩斯是維吉尼亞理工大學數學系的哈徹教授及應用數學跨學科中心的主任。他是IEEE終身會士、SIAM會士,並獲得多項數學獎項,包括伊達莉亞·瑞德獎。伯恩斯博士是最優控制理論、偏微分方程控制及估計理論的專家。他是一本有關變分法的書的作者,並發表了200多篇經過同行評審的期刊和會議論文。此外,他擔任過兩本貢獻書的共同編輯,並作為主要或共同主要研究者參與了40多個外部資助的競爭性研究項目。最後,伯恩斯教授在大學、世界級研究中心和國際會議上發表了250多場受邀演講。目前,伯恩斯博士擔任數學專著和研究筆記系列的編輯,並曾擔任多本數學和控制理論期刊的主編、副編輯及編輯。