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Discontinuous Systems develops nonsmooth stability analysis and discontinuous control synthesis based on novel modeling of discontinuous dynamic systems, operating under uncertain conditions. While being primarily a research monograph devoted to the theory of discontinuous dynamic systems, no background in discontinuous systems is required; such systems are introduced in the book at the appropriate conceptual level. Being developed for discontinuous systems, the theory is successfully applied to their subclasses - variable-structure and impulsive systems - as well as to finite- and infinite-dimensional systems such as distributed-parameter and time-delay systems. The presentation concentrates on algorithms rather than on technical implementation although theoretical results are illustrated by electromechanical applications. These specific applications complete the book and, together with the introductory theoretical constituents bring some elements of the tutorial to the text.
List of contents
Mathematical Tools.- Mathematical Models.- Stability Analysis.- Finite-time Stability of Uncertain Homogeneous and Quasihomogeneous Systems.- Synthesis.- Quasihomogeneous Design.- Unit Feedback Design.- Disturbance Attenuation via Nonsmooth ??-design.- Unit Feedback Control of Infinite-dimensional Systems.- Global Asymptotic Stabilization of Uncertain Linear Systems.- Asymptotic Stabilization of Minimum-phase Semilinear Systems.- Global Asymptotic Stabilization of Uncertain Time-delay Systems.- Electromechanical Applications.- Local Nonsmooth ??-synthesis Under Friction/Backlash Phenomena.- Quasihomogeneous Stabilization of Fully Actuated Systems with Dry Friction.- Hybrid Control of Underactuated Manipulators with Frictional Joints.
Summary
Discontinuous Systems develops nonsmooth stability analysis and discontinuous control synthesis based on novel modeling of discontinuous dynamic systems, operating under uncertain conditions. While being primarily a research monograph devoted to the theory of discontinuous dynamic systems, no background in discontinuous systems is required; such systems are introduced in the book at the appropriate conceptual level. Being developed for discontinuous systems, the theory is successfully applied to their subclasses – variable-structure and impulsive systems – as well as to finite- and infinite-dimensional systems such as distributed-parameter and time-delay systems. The presentation concentrates on algorithms rather than on technical implementation although theoretical results are illustrated by electromechanical applications. These specific applications complete the book and, together with the introductory theoretical constituents bring some elements of the tutorial to the text.
Additional text
From the reviews:
“The primary concern of this book is stability analysis and robust control synthesis of uncertain discontinuous systems within the framework of methods of nonsmooth Lyapunov functions. … The book is intended for graduate students and control specialists interested in the discontinuous systems theory and control applications. No background in discontinuous systems is required, as such systems are conceptually introduced at the appropriate level.” (Mircea Crâşmăreanu, Zentralblatt MATH, Vol. 1180, 2010)
“The book is intended for graduate students working in dynamical systems and control as well as industry-based control engineers working in robotics, automotive systems, powertrain control, and aerospace navigation.” (IEEE Control Systems Magazine, Vol. 29, October, 2009)
“This book covers several different topics related to the stability, robust stabilization and control design of discontinuous dynamical systems. … The book is a welcome addition to the literature on discontinuous control systems as the presented results are not readily available in alternative sources. … As a collection of results and applications that are not otherwise readily accessible, the book is a valuable reference for researchers in the field.” (Martin Weiss, Mathematical Reviews, Issue 2012 b)
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From the reviews:
"The primary concern of this book is stability analysis and robust control synthesis of uncertain discontinuous systems within the framework of methods of nonsmooth Lyapunov functions. ... The book is intended for graduate students and control specialists interested in the discontinuous systems theory and control applications. No background in discontinuous systems is required, as such systems are conceptually introduced at the appropriate level." (Mircea Crâsmareanu, Zentralblatt MATH, Vol. 1180, 2010)
"The book is intended for graduate students working in dynamical systems and control as well as industry-based control engineers working in robotics, automotive systems, powertrain control, and aerospace navigation." (IEEE Control Systems Magazine, Vol. 29, October, 2009)
"This book covers several different topics related to the stability, robust stabilization and control design of discontinuous dynamical systems. ... The book is a welcome addition to the literature on discontinuous control systems as the presented results are not readily available in alternative sources. ... As a collection of results and applications that are not otherwise readily accessible, the book is a valuable reference for researchers in the field." (Martin Weiss, Mathematical Reviews, Issue 2012 b)
