Robust Nonlinear Control Design
Robust Nonlinear Control Design
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DOI：
10.1007/978-0-8176-4759-9
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
R. Freeman;P. Kokotovic
中科院分区：
文献类型：
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作者：
R. Freeman;P. Kokotovic
本书介绍了鲁棒非线性控制系统的理论和设计方面的进展。在书的第一部分，作者提供了一个统一的框架，状态空间和李雅普诺夫技术，结合从集值分析，李雅普诺夫稳定性理论和博弈论的概念。在这个统一的框架内，作者随后开发了各种适合于由低阶非线性常微分方程描述的系统的控制设计方法。重点放在全局控制器的设计上，即模型有效性的整个区域的设计。由于线性理论很好地处理了局部系统行为（除了雅可比线性化失败的关键情况），作者专注于在给定操作条件的大偏差下实现鲁棒性和性能。本书的目的是总结非线性系统的李雅普诺夫设计技术，并提出有关大信号鲁棒性和性能的重要问题。作者是第一个解决这些问题的人，他们在本文中报告了他们的发现。例如，他们确定了李雅普诺夫设计技术中过度控制工作的两个潜在来源，并展示了如何大大减少这种工作。希望进入鲁棒非线性控制领域的研究人员可以使用这本书作为新的研究课题的来源。对于那些已经活跃在这个领域的人来说，这本书可以作为一个参考，参考最近大量的重要工作。最后，面对非线性控制问题的设计工程师将受益于本文介绍的技术。这篇文章实际上是自成一体的。作者提供了所有必要的定义，并给出了全面的介绍。只需要最基本的非线性分析和设计工具知识，包括Lyapunov稳定性理论和最优控制。作者还为那些不熟悉集值分析的读者提供了集值映射的综述。这本书的目的是研究生和研究人员在控制理论，作为最近的结果总结和新的研究问题的来源。在这个审稿人看来，作者确实成功地实现了这些目标。“数学评论
This book presents advances in the theory and design of robust nonlinear control systems. In the first part of the book, the authors provide a unified framework for state-space and Lyapunov techniques by combining concepts from set-valued analysis, Lyapunov stability theory, and game theory. Within this unified framework, the authors then develop a variety of control design methods suitable for systems described by low-order nonlinear ordinary differential equations. Emphasis is placed on global controller designs, that is, designs for the entire region of model validity. Because linear theory deals well with local system behavior (except for critical cases in which Jacobian linearization fails), the authors focus on achieving robustness and performance for large deviations from a given operation condition. The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here." The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives."—Mathematical Reviews