Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

Author: Graziano Chesi
Publisher: Springer Science & Business Media
ISBN: 1848827814
Format: PDF
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This book presents a number of techniques for robustness analysis of uncertain systems. In it, convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogenous polynomial forms.

Systems and Control Theory for Power Systems

Author: Joe H. Chow
Publisher: Springer Science & Business Media
ISBN: 9780387944388
Format: PDF, ePub, Docs
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This IMA Volume in Mathematics and its Applications SYSTEMS AND CONTROL THEORY FOR POWER SYSTEMS is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory." We thank Joe H. Chow, Petar V. Kokotovic, and Robert J. Thomas for organizing the workshop and editing the proceedings. We also take this opportunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. Xl PREFACE Power systems are rich in control and mathematical problems. The presentations given at the Control and Systems Theory in Power Systems Workshop held at IMA in March, 1993, clearly supported that claim. In this volume, we have collected 17 papers from the workshop. For papers with co-authors, the first author was the presenter. These papers deal with several topics of high current interest in power systems: modeling, stability, control, robustness, and computing. Power system modeling is contained in several papers. Sauer's paper presents a time-scale analysis of load models using transient algebraic cir cuits. Ahmed-Zaid applies the same time-scale method to obtain reduced models of synchronous and induction machines. Chow's paper contains recent algorithms for identifying slow coherent groups of machines and ag gregating the coherent machines. Vittal's paper develops an uncertainty model for analyzing system stability with respect to variations in loads and power transfer.

Linear Control Theory

Author: Shankar P. Bhattacharyya
Publisher: CRC Press
ISBN: 9781420019612
Format: PDF, ePub, Docs
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Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results. The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results. Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.

Mathematical Systems Theory I

Author: Diederich Hinrichsen
Publisher: Springer Science & Business Media
ISBN: 3540441255
Format: PDF, ePub, Docs
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This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

The Control Handbook

Author: William S. Levine
Publisher: CRC Press
ISBN: 9780849385704
Format: PDF, Mobi
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This is the biggest, most comprehensive, and most prestigious compilation of articles on control systems imaginable. Every aspect of control is expertly covered, from the mathematical foundations to applications in robot and manipulator control. Never before has such a massive amount of authoritative, detailed, accurate, and well-organized information been available in a single volume. Absolutely everyone working in any aspect of systems and controls must have this book!

Robust Nonlinear Control Design

Author: Randy A. Freeman
Publisher: Springer Science & Business Media
ISBN: 0817647597
Format: PDF
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This softcover book summarizes Lyapunov design techniques for nonlinear systems and raises important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here.

Robust Control of Uncertain Dynamic Systems

Author: Rama K. Yedavalli
Publisher: Springer Science & Business Media
ISBN: 1461491320
Format: PDF
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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.

Robust Control in Power Systems

Author: Bikash Pal
Publisher: Springer Science & Business Media
ISBN: 0387259503
Format: PDF
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Robust Control in Power Systems deals with the applications of new techniques in linear system theory to control low frequency oscillations in power systems. The book specifically focuses on the analysis and damping of inter-area oscillations in the systems which are in the range of 0.2-1 Hz. The damping control action is injected through high power electronic devices known as flexible AC transmission system (FACTS) controllers. Three commonly used FACTS controllers: controllable series capacitors (CSCs) controllable phase shifters (CPSs) and static var compensators (SVCs) have been used in this book to control the inter-area oscillations. The overview of linear system theory from the perspective of power system control is explained through examples. The damping control design is formulated as norm optimization problem. The H_infinity, H2 norm of properly defined transfer functions are minimized in linear matrix inequalities (LMI) framework to obtain desired performance and stability robustness. Both centralized and decentralized control structures are used. Usually the transmission of feedback signal from a remote location encounters delays making it difficult to control the system. Smith predictor based approach has been successfully explored in this book as a solution to such a problem. Robust Control in Power Systems will be valuable to academicians in the areas of power, control and system theory, as well as professionals in the power industry.