Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems
This book puts forward the concept of a virtual equivalent system (VES) based on theoretical analysis and simulation results. The new concept will facilitate the development of a unified framework for analyzing the stability and convergence of self-tuning
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Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems
Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems
Weicun Zhang Qing Li •
Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems
123
Weicun Zhang School of Automation and Electrical Engineering University of Science and Technology Beijing Beijing, China
Qing Li School of Automation and Electrical Engineering University of Science and Technology Beijing Beijing, China
ISBN 978-981-15-5537-4 ISBN 978-981-15-5538-1 https://doi.org/10.1007/978-981-15-5538-1
(eBook)
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Preface
Based on theoretical analysis and simulation results, a new concept of Virtual Equivalent System (VES) is proposed in recent years. The new concept enables us to develop a unified framework for analyzing the stability and convergence of Self-Tuning Control (STC) systems, or even more, of all adaptive control systems, without considering more details about the related estimation algorithms and control schemes. With the aid of the VES concept, we can convert a time-varying STC system into a time-invariant system with a certain nonlinear compensation signal, whereby to reduce the complexity and difficulty in stability and convergence analysis. By doing so, we actually convert the original nonlinear dominant (nonlinear in structure) problem to a new equivalent problem which is linear dominant on
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