Attractive Ellipsoids in Robust Control

Alexander S. Poznyak graduated from Moscow Physical Technical Institute (MPhTI) in 1970. He earned PhD and Doctor Degrees from the Institute of Control Sciences of Russian Academy of Sciences in 1978 and 1989, respectively. He is now the head of the Automatic Control Department at CINVESTAV-IPN, and has published more than 120 papers in different international journals and 9 books. Andrey Polyakov is a researcher at NON-A team, Inria Lille-Nord Europe. He has graduated with a PhD in Physics and Mathematics from Voronezh State University, Russia in 2005. His areas of interest lie within control theory and differential equations. Vadim Azhmyakov is a Professor at University of Antonio Nariño, Colombia, in the Department of Electronic and Biomedical Engineering.

• 1. Introduction.- 2. Mathematical Backgrounds.- 3. Robust State Feedback Control.- 4. Robust Output Feedback Control.- 5. Control with Sample-Data Measurements.- 6. Sample Data and Quantifying Output Control.- 7. Robust Control of Implicit Systems.- 8. Attractive Ellipsoids in Sliding Mode control.- 9. Robust Stabilization of Time-Delay Systems.- 10. Robust Control of Switched Systems.- 11. Bounded Robust Control.- 12. Attractive Ellipsoid Method with Adaptation.

"The monograph presents a systematically written and organized text focused on understanding and the capability to apply the developed theory of the attractive ellipsoid method to real-world problems. ... The book will be useful to interested undergraduate and graduate students familiar with sufficient knowledge of modern systems theory as well as to professionals in control engineering and applied mathematics, and also to general readers interested in this emerging subject." (Lubomir Bakule, zbMATH 1314.93006, 2015)