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This volume is an outgrowth of the workshop "Applications of Advanced Control Theory to Robotics and Automation, "organized in honor of the 70th birthdays of Petar V. Kokotovic and Salvatore (Turi) Nicosia. Both Petar and Turi have carried out distinguished work in the control community and have long been recognized as mentors, as well as experts and pioneers in the field of automatic control, covering many topics in control theory and several different applications. The variety of their research is reflected in this book, which includes contributions ranging from mathematics to laboratory experiments. The scope of the work is very broad, and although each chapter is self-contained, the book has been organized into thematically related chapters, which in some cases, suggest to the reader a convenient reading sequence. The great variety of topics covered and the almost tutorial writing style used by many of the authors will make this book suitable for both experts in the control field and young researchers who seek a more intuitive understanding of these relevant topics in the field.
This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion. The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using these techniques. Various control systems applications of the techniques are characterized including: computation of the flow of nonlinear systems; computation of semi-invariants; computation of Lyapunov functions for stability analysis and observer design.
This book covers selected topics in geometry, algebra, calculus and probability theory. It contains the basic mathematical notions required by a first course in system theory for engineering and applied mathematics students. It is the first book to provide a self-contained and precise account of all the major mathematical methods and concepts relevant to the study of system theory.
This volume provides a general picture of the current trends in the area of automatic control, with particular emphasis on practical problems in the mechanical field. For this reason, besides theoretical contributions, it presents selected lectures on recent developments interesting from an industrial point of view, such as automotive, robotics, motion control, and electrical drives./a
Modeling and High Performance Control of Electric Machines introduces you to both the modeling and control of electric machines. The direct current (DC) machine and the alternating current (AC) machines (induction, PM synchronous, and BLDC) are all covered in detail. The author emphasizes control techniques used for high-performance applications, specifically ones that require both rapid and precise control of position, speed, or torque. You'll discover how to derive mathematical models of the machines, and how the resulting models can be used to design control algorithms that achieve high performance. Graduate students studying power and control as well as practicing engineers in industry will find this a highly readable text on the operation, modeling, and control of electric machines. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department. Instructor Support materials are also available. Email IAline@wiley.com
The development of inexpensive and fast computers, coupled with the discovery of efficient algorithms for dealing with polynomial equations, has enabled exciting new applications of algebraic geometry and commutative algebra. Algebraic Geometry for Robotics and Control Theory shows how tools borrowed from these two fields can be efficiently employed to solve relevant problem arising in robotics and control theory.After a brief introduction to various algebraic objects and techniques, the book first covers a wide variety of topics concerning control theory, robotics, and their applications. Specifically this book shows how these computational and theoretical methods can be coupled with classical control techniques to: solve the inverse kinematics of robotic arms; design observers for nonlinear systems; solve systems of polynomial equalities and inequalities; plan the motion of mobile robots; analyze Boolean networks; solve (possibly, multi-objective) optimization problems; characterize the robustness of linear; time-invariant plants; and certify positivity of polynomials.
Publishes theoretical and applied original papers in dynamic systems. Theoretical papers present new theoretical developments and knowledge for controls of dynamical systems together with clear engineering motivation for the new theory. Applied papers include modeling, simulation, and corroboration of theory with emphasis on demonstrated practicality.
This Proceedings contains the papers presented at the IFAC Symposium on Robust Control Design held in Prague on 21 - 23 June 2000. The technical program included 21 sessions on robust control and related topics in identification and signal processing. The methods presented in these sessions included linear matrix inequalities, polynomial techniques, sliding modes, optimal control, fuzzy and adaptive control. Attention was also paid to linear as well as nonlinear systems. The highlights of the technical program were two plenary lectures by J. Geromel (Universidade Estadual de Campinas, Brazil) and H. Kwakernaak (University of Twente, The Netherlands).
Periodic control has reached a notable degree of maturity thanks to developments over the last few decades. We have seen not only major theoretical achievements but also new significant applications. The IFAC workshop on Periodic Control Systems (PSYCO 2001), held at the Villa Erba Congress Centre in Cernobbio-Como (Italy), August 27-28 2001, aimed at presenting the full picture of the area by gathering experts in the field and all interested researchers, coming from universities, research institutions and industries. The program consisted of technical sessions, organized in two parallel streams and two plenary lectures, given by Jason L. Speyer (University of California at Los Angeles, USA)...