Generalized Homogeneity in Systems and Control Volume I: Finite-Dimensional Systems
暫譯: 系統與控制中的廣義均勻性 第一卷：有限維系統
Polyakov, Andrey
- 出版商: Springer
- 出版日期: 2025-08-06
- 售價: $7,550
- 貴賓價: 9.5 折 $7,173
- 語言: 英文
- 頁數: 694
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031762452
- ISBN-13: 9783031762451
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相關分類:
控制系統 Control-systems
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相關主題
商品描述
This book is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problems. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.
The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate.
The first volume details the concepts of finite-time and fixed-time stability. Key features of the book include:
- mathematical models of dynamical systems in finite-dimensional spaces;
- the theory of linear dilations in Euclidean spaces;
- homogeneous control and estimation;
- extensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control;
- simple methods for an upgrade of existing linear control laws;
- numerical schemes for a consistent digital implementation of homogeneous algorithms; and
- experimental results that confirm an improvement of PID controllers.
Illustrative examples--numerical results, computer simulations, and real experiments--support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers.
商品描述(中文翻譯)
這本書是對均質系統理論的介紹，對於簡化許多類型的非線性控制問題非常有用。它提出了在線性化不適用時可以採用的方法，並提供了一種統一的方法來進行穩定性和魯棒性分析、控制和觀察者設計以及系統離散化。
第二版將均質性的內容分開，使得對有限維系統（在本書中）和無限維系統（在第二卷中）的覆蓋範圍得以擴展。結果更加系統化，讀者更容易學習和理解。
第一卷詳細介紹了有限時間和固定時間穩定性的概念。本書的主要特點包括：
- 有限維空間中動態系統的數學模型；
- 歐幾里得空間中線性擴張的理論；
- 均質控制和估計；
- 大幅擴展和全新處理的章節，涵蓋數位化、安全關鍵系統、神經網絡和多智能體控制；
- 升級現有線性控制法則的簡單方法；
- 一致的數位實現均質算法的數值方案；
- 確認PID控制器改進的實驗結果。
示例性案例——數值結果、計算機模擬和實際實驗——支持所有理論材料。本書中呈現的有限維系統的內容對於來自工程和應用數學背景的控制理論研究生以及實踐中的控制工程師都具有興趣。
作者簡介
Andrey Polyakov received his Ph.D. in Systems Analysis and Control from the Voronezh State University, Russia in 2005. Until 2010, he was an associate professor at the same university. In 2007 and 2008, he was also a research associate with the CINVESTAV-IPN center in Mexico City. From 2010 up to 2013, he was a leader researcher at the Institute of the Control Sciences, Russian Academy of Sciences. In 2013, he joined Inria, Lille, France, as a researcher. He has co-authored more than 100 papers in peer-reviewed journals and three books Attractive Ellipsoids in Robust Control, Road Map for Sliding Mode Control Design and Generalized Homogeneity in Systems and Control 1st Ed. His research interests include various aspects of nonlinear control and estimation theory such as finite-time/fixed-time control, generalized homogeneity, and Lyapunov methods for both finite-dimensional and infinite-dimensional systems.
作者簡介(中文翻譯)
安德烈·波利亞科夫於2005年在俄羅斯沃羅涅什國立大學獲得系統分析與控制的博士學位。直到2010年，他一直是該大學的副教授。在2007年和2008年，他還曾擔任墨西哥城CINVESTAV-IPN中心的研究助理。從2010年到2013年，他是俄羅斯科學院控制科學研究所的首席研究員。2013年，他加入法國里爾的Inria擔任研究員。他共同撰寫了超過100篇同行評審期刊的論文以及三本書籍，分別是《穩健控制中的吸引橢圓體》（Attractive Ellipsoids in Robust Control）、《滑模控制設計的路線圖》（Road Map for Sliding Mode Control Design）和《系統與控制中的廣義齊次性》（Generalized Homogeneity in Systems and Control）第一版。他的研究興趣包括非線性控制和估計理論的各個方面，如有限時間/固定時間控制、廣義齊次性以及針對有限維和無限維系統的李雅普諾夫方法。
