This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H8 approach in the nonsmooth setting. Similar to the standard nonlinear H8 approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements.Advanced H8 Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton-Jacobi-Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues.Requiring familiarity with nonlinear systems theory, this book will be accessible to graduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.
Reviews / Votes
"The present book is a research monograph. . it is
self-contained, and so the reader who takes the effort to study the book in
detail, learns how to design robust controllers for a very general class of
systems, such as those described by nonsmooth nonlinear models and those
described by partial differential equations." (Hans Zwart, zbMATH 1328.93005,
2016)
"This monograph addresses the H
8
control problem for a wide class of systems described by 'finite-/infinite-dimensional, linear/nonlinear, time-invariant/-varying, without/with delay' equations. . The proposed method allows one to develop powerful algorithms for the H
8
design of nonsmooth systems." (Hideki Sano, Mathematical Reviews, June, 2015)
Series
Edition
Language
Place of publication
Target group
Professional and scholarly
Research
Illustrations
31 s/w Abbildungen, 12 farbige Abbildungen
XI, 218 p. 43 illus., 12 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 19 mm
Weight
ISBN-13
978-1-4939-0291-0 (9781493902910)
DOI
10.1007/978-1-4939-0292-7
Schweitzer Classification
Vadim Utkin graduated from Moscow Power Institute (Dipl. Eng.) and received PhD and Doctor of Science degrees from the Institute of Control Sciences (Moscow, Russia). He worked at the Institute of Control Sciences from 1960 to 1994, and in 1973 was appointed as Head of the Discontinuous Control Systems Laboratory. Currently he is a professor at Ohio State University. Professor Utkin is one of the originators of the concepts of variable structure systems and sliding mode control. His application interests are control of power converters and electric drives, robotics, and automotive control. He is the author or co-author of five books and 350 papers.
Alexander Poznyak graduated from Moscow Physical Technical Institute (MPhTI) in 1970. He earned PhD and Doctor of Science degrees from the Institute of Control Sciences of the Russian Academy of Sciences in 1978 and 1989, respectively. From 1973 to 1993 he served first as a researcher and then as leading researcher at this institute, before accepting a post as full professor (3-F) at the Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN) in Mexico, where for 8 years he was head of the Automatic Control Department. He has been the supervisor for 43 PhD theses. He has published more than 240 papers in di¿erent international journals and 14 books. His areas of interest are robust nonlinear deterministic and stochastic control, identi¿cation theory, Markov processes, and game theory with economics applications.
Yury Orlov is a Professor in the Electronics and Telecommunication Department, Scienti¿c Research and Advanced Studies Center of Ensenada, Mexico. His research interests lie in the analysis and synthesis of discontinuous as well as time delay and distributed parameter systems. He has authored or co-authored about 250 journal and conference papers in the above areas as well as ¿ve monographs. He is an Associate Editor of IEEE Transactions on Control Systems Technology, of the International Journal of Robust and Nonlinear Control, and of the IMA Journal of Mathematical Control and Information.
Andrey Polyakov received his PhD in Systems Analysis and Control from Voronezh State University in 2005. Until 2010 he was an Associate Professor with this university. In 2007-8, Dr. Polyakov worked at CINVESTAV-PIN in Mexico. From 2010 to 2013 he was a lead researcher of the Institute of Control Sciences of the Russian Academy of Sciences, and he then joined INRIA, Lille, France. His main research interests include robust and nonlinear control. He has authored or co-authored more than 150 papers.
