Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue-Based Approach - Softcover

Michiels, Wim; Niculescu, Silviu-Iulian

Softcover

ISBN 10: 1611973627 ISBN 13: 9781611973624

Publisher: Society for Industrial and Applied Mathematics, 2016

Synopsis

Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.

In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.

Audience: Engineers, researchers, and graduate students in control and systems engineering, as well as computational and applied mathematicians, will find this book of great interest. It will also be of value to undergraduate and graduate students and laboratory researchers.

Contents: Preface to the Second Edition; Preface to the First Edition; List of Symbols: Acronyms; Part I: Stability Analysis of Linear Time-Delay Systems; Chapter 1: Spectral Properties of Linear Time-Delay Systems; Chapter 2: Computation of Characteristic Roots; Chapter 3: Pseudospectra and Robust Stability Analysis; Chapter 4: Computation of H2 and H-infinity Norms; Chapter 5: Computation of Stability Regions in Parameter Spaces; Chapter 6: Stability Regions in Delay-Parameter Spaces; Part II: Stabilization and Robust Fixed-Order Control; Chapter 7: Stabilization Using a Direct Eigenvalue Optimization Approach; Chapter 8: Stabilizability with Delayed Feedback: A Numerical Case Study; Chapter 9: Optimization of H-infinity Norms; Part III: Applications; Chapter 10: Output Feedback Stabilization Using Delays as Control Parameters; Chapter 11: Smith predictor for Stable Systems: Delay Sensitivity Analysis; Chapter 12: Controlling Unstable Systems Using Finite Spectrum Assignment; Chapter 13: Congestion Control Algorithms in Networks; Chapter 14: Consensus Problems with Distributed Delays, with Traffic Flow Applications; Chapter 15: Synchronization of Delay-Coupled Oscillators; Chapter 16: Stability Analysis of Delay Models in Biosciences; Appendix; Bibliography; Index.

About this title

Book Description

This monograph presents a solution to stability analysis, stabilization, and the robust fixed-order control problem for time-delay systems, relevant to researchers in control theory and applied and computational mathematics. This edition includes retarded- and neutral-type systems, design of robust and optimal controllers, and a broader range of applications.

About the Author

Wim Michiels is an associate professor at KU Leuven, where he leads a research team within the Numerical Analysis and Applied Mathematics Division. He has coauthored more than 75 journal papers in the areas of control and optimization and computational and applied mathematics, coauthored the monograph Stability and Stabilization of Time Delay Systems: An Eigenvalue-Based Approach (SIAM, 2007), and coedited three other books. He is a member of the IFAC Technical Committee on Linear Control Systems and associate editor of the journals Systems and Control Letters and IEEE Transactions on Automatic Control. His research interests include control and optimization, dynamical systems, numerical linear algebra, and scientific computing. His work focuses on the analysis and control of systems described by functional differential equations and on large scale linear algebra problems, with applications in engineering and the biosciences.

Silviu Iulian Niculescu is senior researcher at CNRS at the Laboratory of Signals and Systems (L2S), CNRS Supélec, Gif sur Yvette, France. In 2006 he joined the L2S, which he has headed since January 2010. He is the coauthor of more than 400 book chapters, journal papers, and communications in international conferences, has coauthored five books, and is coeditor of six multiauthor volumes. He was an associate editor of the journal IEEE Transactions on Automatic Control (2003 2005). He was awarded the CNRS Bronze and Silver Medals for scientific research in 2001 and 2011, respectively. His research interests include delay systems, robust control, operator theory, and numerical methods in optimization and their applications to the design of engineering systems.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2016
• ISBN 10: 1611973627
• ISBN 13: 9781611973624
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 460