Nonlinear Control Under Nonconstant Delays

AvNikolaus Bekiaris-Liberis,Miroslav Krstic

Inbunden, Engelska, 2013

Del i serien Advances in Design and Control

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-09-30
Mått:152 x 229 x 19 mm
Vikt:725 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Design and Control
Antal sidor:311
Förlag:Society for Industrial & Applied Mathematics,U.S.
ISBN:9781611973174

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Mer om författaren

Nikolaos Bekiaris-Liberis received his PhD from the University of California, San Diego, and is currently a postdoctoral scholar at the University of California, Berkeley. His research interests are in delay systems, distributed parameter systems, and nonlinear control. Miroslav Krstic is the Alspach endowed professor, founding director of the Cymer Center for Control Systems and Dynamics, and Associate Vice Chancellor for Research at the University of California, San Diego. He is a Fellow of IEEE and IFAC; a recipient of the PECASE, NSF Career and ONR Young Investigator Awards; and the winner of Axelby and Schuck Paper Prizes. He has held distinguished visiting professorships at the University of California, Berkeley, and with the Royal Academy of Engineering, UK. He has coauthored nine books, including Boundary Control of PDEs: A Course on Backstepping Designs (2008).

Innehållsförteckning

Chapter 1: IntroductionPart I: Chapter 2: Linear Systems with Input and State DelaysChapter 3: Linear Systems with Distributed DelaysChapter 4: Application: Automotive CatalystsChapter 5: Nonlinear Systems with Input DelayPart II: Chapter 6: Linear Systems with Time-Varying Input DelayChapter 7: Robustness of Linear Constant-Delay Predictor Feedback to Time-Varying Delay PerturbationsChapter 8: Nonlinear Systems with Time-Varying Input DelayChapter 9: Nonlinear Systems with Simultaneous Time-Varying Delays on the Input and the StatePart III: Chapter 10: Predictor Feedback Design When the Delay Is a Function of the StateChapter 11: Stability Analysis for Forward-Complete Systems with Input DelayChapter 12: Stability Analysis for Locally Stabilizable Systems with Input DelayChapter 13: Nonlinear Systems with State DelayChapter 14: Robustness of Nonlinear Constant-Delay Predictors to Time- and State-Dependent Delay PerturbationsChapter 15: State-Dependent Delays That Depend on Delayed StatesAppendix A: Basic InequalitiesAppendix B: Input-to-Output StabilityAppendix C: Lyapunov Stability, Forward-Completeness, and Input-to-State StabilityAppendix D: Parameter Projection