Overview
- Introduces three important stabilizing controls in the time domain with unified frameworks and notations
- Utilizes linear matrix inequalities in stabilizing and optimizing control designs for easier computation of complex controls
- Supported by numerical examples with MATLAB codes for difficult optimal and sub-optimal stabilizing controls for time-delay systems
- Provides the reader with coverage on both state- and input-delayed systems
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (8 chapters)
Keywords
- Stability and Stabilization
- Non-Optimal Stabilizing Control
- Optimal Stabilizing Control
- Sub-Optimal Stabilizing Control
- Guaranteed Cost Control
- Robust Stabilizing Control
- LQ control
- LQG control
- H∞ control
- Receding Horizon Control
- Model Predictive Control
- Time-Delay Systems
- Reduction Transformation
- Finite Horizon Control
- Linear Matrix Inequality
- Integral Inequality
- Linear-Quadratic Control
- Linear-Quadratic-Gaussian Control
About this book
Stabilizing and Optimizing Control for Time-Delay Systems introduces three important classes of stabilizing controls for time-delay systems: non-optimal (without performance criteria); suboptimal (including guaranteed costs); and optimal controls. Each class is treated in detail and compared in terms of prior control structures. State- and input-delayed systems are considered. The book provides a unified mathematical framework with common notation being used throughout.
Receding-horizon, or model predictive, linear quadratic (LQ), linear-quadratic-Gaussian and H∞ controls for time-delay systems are chosen as optimal stabilizing controls. Cost monotonicity is investigated in order to guarantee the asymptotic stability of closed-loop systems operating with such controls.The authors use guaranteed LQ and H∞ controls as representative sub-optimal methods; these are obtained with pre-determined control structures and certain upper bounds of performance criteria. Non-optimal stabilizing controls are obtained with predetermined control structures but with no performance criteria. Recently developed inequalities are exploited to obtain less conservative results.
To facilitate computation, the authors use linear matrix inequalities to represent gain matrices for non-optimal and sub-optimal stabilizing controls, and all the initial conditions of coupled differential Riccati equations of optimal stabilizing controls. Numerical examples are provided with MATLAB® codes (downloadable from http://extras.springer.com/) to give readers guidance in working with more difficult optimal and suboptimal controls.
Academic researchers studying control of a variety of real processes in chemistry, biology, transportation, digital communication networks and mechanical systems that are subject to time delays will find the results presented in Stabilizing and Optimizing Control for Time-Delay Systems to be helpfulin their work. Practitioners working in related sectors of industry will also find this book to be of use in developing real-world control systems for the many time-delayed processes they encounter.
Authors and Affiliations
About the authors
PooGyeon Park received B.S. and M.S. degrees in electrical engineering from Seoul National University in 1988 and 1990, respectively, and a Ph D. degree from Stanford University in 1995. He has been with POSTECH (Pohang University of Science and Technology)since 1996, where he is currently a professor of Department of Electrical Engineering since 2005.
Bibliographic Information
Book Title: Stabilizing and Optimizing Control for Time-Delay Systems
Book Subtitle: Including Model Predictive Controls
Authors: Wook Hyun Kwon, PooGyeon Park
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-3-319-92704-6
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-92703-9Published: 20 July 2018
Softcover ISBN: 978-3-030-06496-9Published: 25 December 2018
eBook ISBN: 978-3-319-92704-6Published: 06 July 2018
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XVII, 425
Number of Illustrations: 18 b/w illustrations
Topics: Control and Systems Theory, Systems Theory, Control, Optimization, Industrial Chemistry/Chemical Engineering