Nonlinear Control Under Nonconstant Delays
Nonlinear Control Under Nonconstant Delays
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DOI：
10.1137/1.9781611972856
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
N. Bekiaris-Liberis;M. Krstić
中科院分区：
文献类型：
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作者：
N. Bekiaris-Liberis;M. Krstić
作者已经开发了一种方法，用于控制非线性系统中存在的长延迟，与大的和快速的变化，在致动或传感路径，或在存在长延迟影响系统的内部状态。除了控制合成，他们介绍了工具，以量化的性能和鲁棒性的设计在书中提供。这本书是基于预测反馈和无限维反推变换的线性系统的概念和作者指导读者从基本思想的概念-只有常数延迟的输入-所有的方式通过非线性系统的状态依赖延迟的输入以及系统状态。几个例子，帮助读者消化的方法中的一些错综复杂的。读者会发现这本书很有用，因为作者对延迟系统中的长期问题提供了优雅和系统的处理，例如在许多应用中出现的状态依赖延迟系统。此外，作者通过显式公式给出了所有控制设计，使本书对于面临延迟相关挑战并关注实际实现的工程师特别有用，并且他们将所有控制设计与基于Lyapunov的分析相结合，以建立稳定性和性能保证。读者：这本书是为研究延迟系统控制的研究人员准备的，包括工程师、数学家和学生。内容包括：第一章：导言;第一部分：第二章：具有输入和状态延迟的线性系统;第3章：具有分布延迟的线性系统;第4章：应用：汽车催化剂;第5章：具有输入延迟的非线性系统;第二部分：第6章：具有时变输入延迟的线性系统;第7章：线性恒定延迟预测器反馈对时变延迟扰动的鲁棒性;第8章：具有时变输入延迟的非线性系统;第九章：输入和状态同时具有时变时滞的非线性系统;第三部分：第十章：时滞为状态函数时的预测反馈设计;第十一章：输入时滞前向完全系统的稳定性分析;第十二章：输入时滞局部可镇定系统的稳定性分析;第十三章：状态时滞非线性系统;第14章：非线性常时滞预测器对时间和状态相关时滞扰动的鲁棒性;第15章：依赖于时滞状态的状态相关时滞;附录A：基本不等式;附录B：输入-输出稳定性;附录C：李雅普诺夫稳定性、前向完备性和输入-状态稳定性;附录D：参数投影
The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept - with constant delays only on the input - all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Several examples are presented that help the reader digest some of the intricacies in the methodology. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees. Audience: This book is intended for researchers working on control of delay systems, including engineers, mathematicians, and students. Contents: Chapter 1: Introduction; Part I: Chapter 2: Linear Systems with Input and State Delays; Chapter 3: Linear Systems with Distributed Delays; Chapter 4: Application: Automotive Catalysts; Chapter 5: Nonlinear Systems with Input Delay; Part II: Chapter 6: Linear Systems with Time-Varying Input Delay; Chapter 7: Robustness of Linear Constant-Delay Predictor Feedback to Time-Varying Delay Perturbations; Chapter 8: Nonlinear Systems with Time-Varying Input Delay; Chapter 9: Nonlinear Systems with Simultaneous Time-Varying Delays on the Input and the State; Part III: Chapter 10: Predictor Feedback Design When the Delay Is a Function of the State; Chapter 11: Stability Analysis for Forward-Complete Systems with Input Delay; Chapter 12: Stability Analysis for Locally Stabilizable Systems with Input Delay; Chapter 13: Nonlinear Systems with State Delay; Chapter 14: Robustness of Nonlinear Constant-Delay Predictors to Time- and State-Dependent Delay Perturbations; Chapter 15: State-Dependent Delays That Depend on Delayed States; Appendix A: Basic Inequalities; Appendix B: Input-to-Output Stability; Appendix C: Lyapunov Stability, Forward-Completeness, and Input-to-State Stability; Appendix D: Parameter Projection