Classical Control Using H Infinity Methods

Author : J. William Helton,Orlando Merino
Publisher : SIAM
Page : 183 pages
File Size : 46,7 Mb
Release : 1998-01-01
Category : H [infinity symbol] control
ISBN : 1611971373

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Classical Control Using H-Infinity Methods by J. William Helton,Orlando Merino Pdf

One of the main accomplishments of control in the 1980s was the development of H-infinity techniques. This book teaches control system design using H-infinity methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods. Classical control has always been presented as trial and error applied to specific cases; Helton and Merino provide a much more precise approach. This has the tremendous advantage of converting an engineering problem to one that can be put directly into a mathematical optimization package. After completing this course, students will be familiar with how engineering specs are coded as precise mathematical constraints.

Author : J. William Helton,Orlando Merino
Publisher : SIAM
Page : 282 pages
File Size : 50,7 Mb
Release : 1998-01-01
Category : Technology & Engineering
ISBN : 9780898714197

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Classical Control Using H-Infinity Methods by J. William Helton,Orlando Merino Pdf

This versatile book teaches control system design using H-Infinity techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. Until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using H^\infty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections.

Author : J. William Helton,Orlando Merino
Publisher : SIAM
Page : 308 pages
File Size : 55,8 Mb
Release : 1998-01-01
Category : H [infinity symbol] control
ISBN : 1611971365

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Classical Control Using H-Infinity Methods by J. William Helton,Orlando Merino Pdf

This versatile book teaches control system design using Hînfty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of Hînfty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using Hînfty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of Hînfty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books.

Author : J. William Helton,Matthew R. James
Publisher : SIAM
Page : 355 pages
File Size : 40,6 Mb
Release : 1999-01-01
Category : H [infinity symbol] control
ISBN : 0898719844

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Extending H-infinity Control to Nonlinear Systems by J. William Helton,Matthew R. James Pdf

H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.

Author : Hidenori Kimura
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240808

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Chain-Scattering Approach to H∞Control by Hidenori Kimura Pdf

Through its rapid progress in the last decade, HOOcontrol became an established control technology to achieve desirable performances of con trol systems. Several highly developed software packages are now avail able to easily compute an HOOcontroller for anybody who wishes to use HOOcontrol. It is questionable, however, that theoretical implications of HOOcontrol are well understood by the majority of its users. It is true that HOOcontrol theory is harder to learn due to its intrinsic mathemat ical nature, and it may not be necessary for those who simply want to apply it to understand the whole body of the theory. In general, how ever, the more we understand the theory, the better we can use it. It is at least helpful for selecting the design options in reasonable ways to know the theoretical core of HOOcontrol. The question arises: What is the theoretical core of HOO control? I wonder whether the majority of control theorists can answer this ques tion with confidence. Some theorists may say that the interpolation theory is the true essence of HOOcontrol, whereas others may assert that unitary dilation is the fundamental underlying idea of HOOcontrol. The J spectral factorization is also well known as a framework of HOOcontrol. A substantial number of researchers may take differential game as the most salient feature of HOOcontrol, and others may assert that the Bounded Real Lemma is the most fundamental building block.

Author : Heinz D. Unbehauen
Publisher : EOLSS Publications
Page : 394 pages
File Size : 50,7 Mb
Release : 2009-10-11
Category : Electronic
ISBN : 9781848261532

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CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIV by Heinz D. Unbehauen Pdf

This Encyclopedia of Control Systems, Robotics, and Automation is a component of the global Encyclopedia of Life Support Systems EOLSS, which is an integrated compendium of twenty one Encyclopedias. This 22-volume set contains 240 chapters, each of size 5000-30000 words, with perspectives, applications and extensive illustrations. It is the only publication of its kind carrying state-of-the-art knowledge in the fields of Control Systems, Robotics, and Automation and is aimed, by virtue of the several applications, at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs

Author : J. William Helton,Orlando Merino
Publisher : Society for Industrial and Applied Mathematics
Page : 183 pages
File Size : 47,7 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 0898714249

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Classical Control Using H-infinity Methods by J. William Helton,Orlando Merino Pdf

One of the main accomplishments of control in the 1980s was the development of H8 techniques. This book teaches control system design using H8 methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods. Classical control has always been presented as trial and error applied to specific cases; Helton and Merino provide a much more precise approach. This has the tremendous advantage of converting an engineering problem to one that can be put directly into a mathematical optimization package. After completing this course, students will be familiar with how engineering specs are coded as precise mathematical constraints.

Author : Chong Hun Kim
Publisher : Lulu.com
Page : 676 pages
File Size : 41,8 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9780615165110

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Commercial Satellite Launch Vehicle Attitude Control Systems Design and Analysis (H-infinity, Loop Shaping, and Coprime Approach) by Chong Hun Kim Pdf

This book is written for aerospace engineers who have completed their BS degree and are interested in the design and analysis of rocket attitude control systems. It introduces a new approach to the design, characterized by its robustness. Current LV attitude control systems are designed based on classical SISO control theory, and they lack robustness. The theory used here truly offers a technique that enables us to design control systems that are reasonably insensitive to math modeling errors and can withstand disturbances such as gust, and in addition it doesn’t need external states estimator, such as Kalman filtering. Extensive simulation results, which demonstrate the effectiveness of this approach, are presented in this book. Basic rocket theory and a concept of H-infinity control system design technique are explained for those who are new in these fields of study.

Author : Rahmetalla Nazzeri
Publisher : Cuvillier Verlag
Page : 180 pages
File Size : 41,8 Mb
Release : 2021-11-15
Category : Technology & Engineering
ISBN : 9783736965164

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Influence of flight control laws on structural sizing of commercial aircraft by Rahmetalla Nazzeri Pdf

The increasing demand for new civil aircraft pushes aircraft manufacturers to develop innovative solutions that lead in particular to mass reductions. One way to achieve these kinds of improvements is the use of multidisciplinary analysis and optimization. In this sense the intention of this PhD thesis is to develop a multidisciplinary framework in order to quantify the impact of load alleviation function parameter changes on structural components like the wing and fuselage in terms of resulting mass changes. The developed iterative process chain covers the loads calculation including an active load alleviation system, a structural assessment of the wing and fuselage components and a dedicated feedback loop in order to update mass and stiffness properties of the loads calculation model. The study shows that significant mass reductions are achievable while on the other hand estimated mass penalties are irrelevant.

Author : Zhanshan Wang,Zhenwei Liu,Chengde Zheng
Publisher : Springer
Page : 388 pages
File Size : 47,8 Mb
Release : 2015-07-18
Category : Technology & Engineering
ISBN : 9783662474846

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Qualitative Analysis and Control of Complex Neural Networks with Delays by Zhanshan Wang,Zhenwei Liu,Chengde Zheng Pdf

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Author : John C. Doyle,Bruce A. Francis,Allen R. Tannenbaum
Publisher : Courier Corporation
Page : 264 pages
File Size : 55,9 Mb
Release : 2013-04-09
Category : Technology & Engineering
ISBN : 9780486318332

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Feedback Control Theory by John C. Doyle,Bruce A. Francis,Allen R. Tannenbaum Pdf

An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

Author : Bruce A. Francis
Publisher : Springer
Page : 180 pages
File Size : 41,6 Mb
Release : 1987
Category : Science
ISBN : UOM:39015011158485

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A Course in H [infinity] Control Theory by Bruce A. Francis Pdf

Author : Ian R. Petersen,Valery A. Ugrinovskii,Andrey V. Savkin
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447104476

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Robust Control Design Using H-∞ Methods by Ian R. Petersen,Valery A. Ugrinovskii,Andrey V. Savkin Pdf

This is a unified collection of important recent results for the design of robust controllers for uncertain systems, primarily based on H8 control theory or its stochastic counterpart, risk sensitive control theory. Two practical applications are used to illustrate the methods throughout.

Author : Babak Hassibi,Ali H. Sayed,Thomas Kailath
Publisher : SIAM
Page : 572 pages
File Size : 53,6 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 1611970768

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Indefinite-Quadratic Estimation and Control by Babak Hassibi,Ali H. Sayed,Thomas Kailath Pdf

This monograph presents a unified mathematical framework for a wide range of problems in estimation and control. The authors discuss the two most commonly used methodologies: the stochastic H² approach and the deterministic (worst-case) H [infinity] approach. Despite the fundamental differences in the philosophies of these two approaches, the authors have discovered that, if indefinite metric spaces are considered, they can be treated in the same way and are essentially the same. The benefits and consequences of this unification are pursued in detail, with discussions of how to generalize well-known results from H² theory to H [infinity] setting, as well as new results and insight, the development of new algorithms, and applications to adaptive signal processing. The authors deliberately have placed primary emphasis on estimation problems which enable one to solve all the relevant control problems in detail. They also deal mostly with discrete-time systems, since these are the ones most important in current applications.

Author : Shunji Manabe,Young Chol Kim
Publisher : Springer Nature
Page : 207 pages
File Size : 46,9 Mb
Release : 2021-04-10
Category : Technology & Engineering
ISBN : 9789811605468

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Coefficient Diagram Method for Control System Design by Shunji Manabe,Young Chol Kim Pdf

This book describes a new control design technique called Coefficient Diagram Method (CDM), whereby practical control engineers without deep control theories and mathematics background can design a good controller for their specific plants. In addition, control experts can solve some complicated design problems. Since the CDM was first introduced in 1998, it reveals from the literature that CDM has provided successful controller designs for a variety of practical control problems. In the last two decades, a great deal of research has been done on CDM, while a growing number of researchers want to learn and utilize the method. However, there has been no textbook to learn it systematically so far. This book is motivated by such a need. It is also suitable as a textbook or reference book for master programs in control engineering. ​