Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

Author: Graziano Chesi
Publisher: Springer Science & Business Media
ISBN: 1848827814
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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, Mobi
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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.

The Control Handbook

Author: William S. Levine
Publisher: CRC Press
ISBN: 9780849385704
Format: PDF, Docs
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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 Control of Uncertain Dynamic Systems

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

Discrete Control Systems

Author: Yoshifumi Okuyama
Publisher: Springer Science & Business Media
ISBN: 1447156676
Format: PDF, ePub, Mobi
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Discrete Control Systems establishes a basis for the analysis and design of discretized/quantized control systems for continuous physical systems. Beginning with the necessary mathematical foundations and system-model descriptions, the text moves on to derive a robust stability condition. To keep a practical perspective on the uncertain physical systems considered, most of the methods treated are carried out in the frequency domain. As part of the design procedure, modified Nyquist–Hall and Nichols diagrams are presented and discretized proportional–integral–derivative control schemes are reconsidered. Schemes for model-reference feedback and discrete-type observers are proposed. Although single-loop feedback systems form the core of the text, some consideration is given to multiple loops and nonlinearities. The robust control performance and stability of interval systems (with multiple uncertainties) are outlined. Finally, the monograph describes the relationship between feedback-control and discrete event systems. The nonlinear phenomena associated with practically important event-driven systems are elucidated. The dynamics and stability of finite-state and discrete-event systems are defined. Academic researchers interested in the uses of discrete modelling and control of continuous systems will find Discrete Control Systems instructive. The inclusion of end-of-chapter problems also makes the book suitable for use in self study either by professional control engineers or graduate students supplementing a more formal regimen of learning.

Robust Control Design

Author: Theodore E. Djaferis
Publisher: Springer Science & Business Media
ISBN: 1461522935
Format: PDF
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To a large extent, our lives on this earth depend on systems that operate auto matically. Manysuchsystems can be found in nature and others are man made. These systems can be biological, electrical, mechanical, chemical, or ecological, to namejust a few categories. Our human body is full ofsystems whose conti nued automatic operation is vital for our existence. On a daily basis we come in contact with man made systems whose automatic operation ensures increa sed productivity, promotes economic development and improves the quality of life. A primary component that is responsible for the automatic operation of a system is a device or mechanism called the controller. In man made systems one must first design and then implement such a controller either as a piece of hardware or as software code in a computer. The safe and efficient automatic operation of such systems is testimony to the success of control theorists and practitioners over the years. This book presents new methods {or controller design. The process ofdeveloping a controller or control strategy can be dramatically improved if one can generate an appropriate dynamic model for the system under consideration. Robust control design deals with the question of how to develop such controllers for system models with uncertainty. In many cases dynamic models can be expressed in terms oflinear, time invariant differential equations or transfer functions.

Linear Systems

Author: Alok Sinha
Publisher: CRC Press
ISBN: 1420008889
Format: PDF, ePub, Docs
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Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. Developed as a two-course book, this self-contained text first discusses linear systems, including controllability, observability, and matrix fraction description. Within this framework, the author develops the ideas of state feedback control and observers. He then examines optimal control, stochastic optimal control, and the lack of robustness of linear quadratic Gaussian (LQG) control. The book subsequently presents robust control techniques and derives H∞ control theory from the first principle, followed by a discussion of the sliding mode control of a linear system. In addition, it shows how a blend of sliding mode control and H∞ methods can enhance the robustness of a linear system. By learning the theories and algorithms as well as exploring the examples in Linear Systems: Optimal and Robust Control, students will be able to better understand and ultimately better manage engineering processes and systems.

Mathematical Systems Theory I

Author: Diederich Hinrichsen
Publisher: Springer Science & Business Media
ISBN: 3540441255
Format: PDF, ePub
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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.