Includes sections on: Sliding mode control with switching command devices. Hyperplane design and CAD of variable structure control systems. Variable structure controllers for robots. The hyperstability approach to VSCS design. Nonlinear continuous feedback for robust tracking. Control of uncertain systems with neglected dynamics. Control of infinite dimensional plants.

This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the abo

This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a linear state space model framework. Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering. Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches. Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.

The book is a collection of contributions concerning the theories, applications and perspectives of Variable Structure Systems (VSS). Variable Structure Systems have been a major control design methodology for many decades. The term Variable Structure Systems was introduced in the late 1950’s, and the fundamental concepts were developed for its main branch Sliding Mode Control by Russian researchers Emelyanov and Utkin. The 20th Century has seen the formation and consolidation of VSS theory and its applications. It has also seen an emerging trend of cross-fertilization and integration of VSS with other control and non-control techniques such as feedback linearization, ?atness, passivity based control, adaptive and learning ? control, system identi?cation, pulse width modulation, H geometric and algebraic methods, arti?cial intelligence, modeling and optimization, neural networks, fuzzy logic, to name just a few. This trend will continue and ?ourish in the new millennium. To re?ect these major developments in the 20th Century, this book - cludes 16 specially invited contributions from well-known experts in VSS theory and applications, covering a wide range of topics. The ?rst chapter, “First Stage of VSS: People and Events” written by Vadim Utkin, the founder of VSS, oversees and documents the historical developments of VSS in the 20th Century, including many interesting events not known to the West until now. The second chapter, “An Integrated Learning Variable Structure Control Method” written by Jian-Xin Xu, addresses an important issue regarding control integration between variable structure control and learning control.

Control and Dynamic Systems: Advances in Theory and Applications, Volume 34: Advances in Control Mechanics, Part 1 of 2 presents the fundamental aspects of mechanical systems control theory. This book deals with microburst, a severe meteorological condition significant to aircraft control. Organized into seven chapters, this volume begins with an overview of the problem of stable control of an aircraft subjected to windshear caused by microburst. This text then examines the results concerning control of an aircraft under windshear conditions. Other chapters consider the robust control problem using the variable structure control method. This book discusses as well the problem of finding zeros of a nonlinear vector function by using methods of dynamical systems analysis. The final chapter deals with the role of singularities and their effect on the global trait of dynamical systems. This book is a valuable resource for mechanical and materials engineers. Research workers and students will also find this book useful.