Tag: Control

Free Download Optimal Design and Control: Proceedings of the Workshop on Optimal Design and Control Blacksburg, Virginia April 8-9, 1994 By Natalia Alexandrov, J. E. Dennis Jr. (auth.), Jeffrey Borggaard, John Burkardt, Max Gunzburger, Janet Peterson (eds.)
1995 | 288 Pages | ISBN: 1461269164 | PDF | 7 MB
This volume is the proceedings of the Workshop on Optimal Design and Control that was held in Blacksburg, Virginia, April 8-9, 1994. The workshop was spon sored by the Air Force Office of Scientific Research through the Air Force Center for Optimal Design and Control (CODAC) at Virginia Tech. The workshop was a gathering of engineers and mathematicians actively in volved in innovative research in control and optimization, with emphasis placed on problems governed by partial differential equations. The interdisciplinary nature of the workshop and the wide range of subdisciplines represented by the partici pants enabled an exchange of valuable information and also led to significant dis cussions about multidisciplinary optimization issues. One of the goals of the work shop was to include laboratory, industrial, and academic researchers so that anal yses, algorithms, implementations, and applications could all be well-represented in the talks; this interdisciplinary nature is reflected in these proceedings. An overriding impression that can be gleaned from the papers in this volume is the complexity of problems addressed by not only those authors engaged in appli cations, but also by those engaged in algorithmic development and even mathemat ical analyses. Thus, in many instances, systematic approaches using fully nonlin ear constraint equations are routinely used to solve control and optimization prob lems, in some cases replacing ad-hoc or empirically based procedures.

Free Download Finite Horizon H∞ and Related Control Problems By M. Bala Subrahmanyam (auth.)
1995 | 122 Pages | ISBN: 1461287189 | PDF | 9 MB
HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.

Free Download Discrete-Time Markov Control Processes: Basic Optimality Criteria By Onésimo Hernández-Lerma, Jean Bernard Lasserre (auth.)
1996 | 216 Pages | ISBN: 1461268842 | PDF | 6 MB
This book presents the first part of a planned two-volume series devoted to a systematic exposition of some recent developments in the theory of discrete-time Markov control processes (MCPs). Interest is mainly confined to MCPs with Borel state and control (or action) spaces, and possibly unbounded costs and noncompact control constraint sets. MCPs are a class of stochastic control problems, also known as Markov decision processes, controlled Markov processes, or stochastic dynamic pro grams; sometimes, particularly when the state space is a countable set, they are also called Markov decision (or controlled Markov) chains. Regardless of the name used, MCPs appear in many fields, for example, engineering, economics, operations research, statistics, renewable and nonrenewable re source management, (control of) epidemics, etc. However, most of the lit erature (say, at least 90%) is concentrated on MCPs for which (a) the state space is a countable set, and/or (b) the costs-per-stage are bounded, and/or (c) the control constraint sets are compact. But curiously enough, the most widely used control model in engineering and economics–namely the LQ (Linear system/Quadratic cost) model-satisfies none of these conditions. Moreover, when dealing with "partially observable" systems) a standard approach is to transform them into equivalent "completely observable" sys tems in a larger state space (in fact, a space of probability measures), which is uncountable even if the original state process is finite-valued.

Free Download Control of Uncertain Sampled-Data Systems By Geir E. Dullerud (auth.)
1996 | 177 Pages | ISBN: 1461275377 | PDF | 5 MB
My main goal in writing this monograph is to provide a detailed treatment of uncertainty analysis for sampled-data systems in the context of sys tems control theory. Here, sampled-data system refers to the hybrid sys tem formed when continuous time and discrete time systems are intercon nected; by uncertainty analysis I mean achievable performance in the pres ence of worst -case uncertainty and disturbances. The focus of the book is sampled-data systems; however the approach presented is applicable to both standard and sampled-data systems. The past few years has seen a large surge in research activity centered around creating systematic methods for sampled-data design. The aim of this activity has been to deepen and broaden the, by now, sophisticated viewpoint developed for design of purely continuous time or discrete time systems (e.g. J{oo or -I!l optimal synthesis, J1 theory) so that it can be ap plied to the design of sampled-data systems. This research effort has been largely successful, producing both interesting new mathematical tools for control theory, and new methodologies for practical engineering design. Analysis of structured uncertainty is an important objective in control design, because it is a flexible and non-conservative way of analyzing sys tem performance, which is suitable in many engineering design scenarios.

Free Download Control and Optimal Design of Distributed Parameter Systems By Giovanni Crosta (auth.), John E. Lagnese, David L. Russell, Luther W. White (eds.)
1995 | 246 Pages | ISBN: 1461384621 | PDF | 7 MB
The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.

Free Download Control and Game-Theoretic Models of the Environment By A. Haurie, G. Zaccour (auth.), Carlo Carraro, Jerzy A. Filar (eds.)
1995 | 357 Pages | ISBN: 1461269172 | PDF | 10 MB
This book collects some recent works on the application of dynamic game and control theory to the analysis of environmental problems. This collec tion of papers is not the outcome of a conference or of a workshop. It is rather the result of a careful screening from among a number of contribu tions that we have solicited across the world. In particular, we have been able to attract the work of some of the most prominent scholars in the field of dynamic analyses of the environment. Engineers, mathematicians and economists provide their views and analytical tools to better interpret the interactions between economic and environmental phenomena, thus achiev ing, through this interdisciplinary effort, new and interesting results. The goal of the book is more normative than descriptive. All papers include careful modelling of the dynamics of the main variables involved in the game between nature and economic agents and among economic agents themselves, as well-described in Vrieze’s introductory chapter. Fur thermore, all papers use this careful modelling framework to provide policy prescriptions to the public agencies authorized to regulate emission dy namics. Several diverse problems are addressed: from global issues, such as the greenhouse effect or deforestation, to international ones, such as the management of fisheries, to local ones, for example, the control of effluent discharges. Moreover, pollution problems are not the only concern of this book.

Free Download Control Under Lack of Information By A. N. Krasovskii, N. N. Krasovskii (auth.)
1995 | 322 Pages | ISBN: 1461275830 | PDF | 6 MB
The mathematical theory of control, essentially developed during the last decades, is used for solving many problems of practical importance. The efficiency of its applications has increased in connection with the refine ment of computer techniques and the corresponding mathematical soft ware. Real-time control schemes that include computer-realized blocks are, for example, attracting ever more attention. The theory of control provides abstract models of controlled systems and the processes realized in them. This theory investigates these models, proposes methods for solv ing the corresponding problems and indicates ways to construct control algorithms and the methods of their computer realization. The usual scheme of control is the following: There is an object F whose state at every time instant t is described by a phase variable x. The object is subjected to a control action u. This action is generated by a control device U. The object is also affected by a disturbance v generated by the environment. The information on the state of the system is supplied to the generator U by the informational variable y. The mathematical character of the variables x, u, v and yare determined by the nature of the system.

Free Download Control Problems in Industry: Proceedings from the SIAM Symposium on Control Problems San Diego, California July 22-23, 1994 By Christian H. Bischof, Alan Carle, Peyvand M. Khademi (auth.), Irena Lasiecka, Blaise Morton (eds.)
1995 | 353 Pages | ISBN: 146127589X | PDF | 25 MB
This volume contains a collection of papers presented at the Symposium on Control Problems in Industry, held on July 22-23, 1994 in San Diego. The Symposium, conducted by the Society for Industrial and Applied Math ematics (SIAM), with the cooperation of the Institut National Recherche Informatique et Automatique (INRIA) , focused on industrial control ap plications that have benefited from recent mathematical and technological developments. A partial list of themes featured by the Symposium is listed below. 1) Applications of Control Techniques in a) the aerospace industry, b) the automotive industry, c) the environmental science, d) manufacturing processes, e) the petroleum industry. 2) Optimal Shape Design in Aerospace Applications 3) Optimal Design of Micro-optics 4) Robust Control and H-infinity Methods The purpose of this meeting was to bring together experts from in dustry and academia to share their experience and present new results and new trends in modern control theory, with a focus on real industrial applications. The presentations were selected primarily for the practical significance of the problem solved, though all had significant mathemati cal components. Control theory is an interdisciplinary field which, in its broadest sense, encompasses contributions ranging from classical engineer ing disciplines (circuit theory, automata theory, electronics, manufacturing, mechanical engineering, material science), to theoretical engineering (sys tem theory, computer science) and various areas of mathematics such as ODE, PDE, complex analysis, function theory, algebraic and differential geometry, numerical analysis, etc.

Free Download Computation and Control IV: Proceedings of the Fourth Bozeman Conference, Bozeman, Montana, August 3-9, 1994 By Kenneth L. Bowers, John Lund (auth.)
1995 | 360 Pages | ISBN: 1461275865 | PDF | 28 MB
The fourth Conference on Computation and Control was held at Mon tana State University in Bozeman, Montana from August 3-9, 1994. These proceedings represent the continued evolution of the cross-disciplinary dia logue begun at the 1988 conference (Volume 1 of PSCT) and continued on a biennial basis in 1990 and 1992. Those proceedings are housed in Volume 11 of PSCT and Volume 15 of PSCT, respectively. In recent years considerable effort has been devoted to the problem of developing rigorous numerical methods and computational tools for con trol design and analysis. Although computational problems in control are extremely complex, these problems often have special structures that can be exploited to obtain both theoretical and computational results. More over, problems that arise from applications are best addressed by interdis ciplinary approaches where experts in various disciplines (e. g. numerical analysis, control theory, fluid dynamics) come together and create numer ical algorithms specifically for use in control design. This communication not only creates new mathematical tools, it often produces new research problems in the individual disciplines. This conference continues to bring together leading experts in control theory, numerical mathematics and var ious application areas to discuss recent developments in interdisciplinary approaches to computational control. The organizers acknowledge the generous support of the Montana State University Foundation, the National Science Foundation’s Division of Mathematical Sciences and the EPSCoR Program (Montana Group for Nonlinear Science).

Free Download Chain-Scattering Approach to H∞ Control By Hidenori Kimura (auth.)
1996 | 246 Pages | ISBN: 1461286425 | PDF | 8 MB
The advent of H-infinity-control was a truly remarkable innovation in multivariable theory. It eliminated the classical/modern dichotomy that had been a major source of the long-standing skepticism about the applicability of modern control theory, by amalgamating the "philosophy" of classical design with "computation" based on the state-space problem setting. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s.However, very few practical design engineers are familiar with the theory, even though several theoretical frameworks have been proposed, namely interpolation theory, matrix dilation, differential games, approximation theory, linear matrix inequalities, etc. But none of these frameworks have proved to be a natural, simple, and comprehensive exposition of H-infinity-control theory that is accessible to practical engineers and demonstrably the most natural control strategy to achieve the control objectives.The purpose of this book is to provide such a natural theoretical framework that is understandable with little mathematical background. The notion of chain-scattering, well known in classical circuit theory, but new to control theorists, plays a fundamental role in this book. It captures an essential feature of the control systems design, reducing it to a J-lossless factorization, which leads us naturally to the idea of H-infinity-control. The J-lossless conjugation, an essentially new notion in linear system theory, then provides a powerful tool for computing this factorization. Thus the chain-scattering representation, the J-lossless factorization, and the J-lossless conjugation are the three key notions that provide the thread of development in this book. The book is conpletely self contained and requires little mathematical background other than some familiarity with linear algebra. It will be useful to praciticing engineers in control system design and as a text for a graduate course in H-infinity-control and its applications.The reader is supposed to be acquainted with linear systems only at an elementary level and, although full proofs are given, the exposition is careful so that it may be accessible to engineers. H. Kimura’s textbook is a useful source of information for everybody who wants to learn this part of the modern control theory in a thorough manner. -Mathematica BohemicaThe book is useful to practicing engineers in control system design and as a textbook for a graduate course in H∞ control and its applications. -Zentralblatt MATH