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Control and Estimation in Distributed Parameter Systems

Control and Estimation in Distributed Parameter Systems
Author: H. T. Banks
Publisher: SIAM
Total Pages: 235
Release: 1992-01-01
Genre: Technology & Engineering
ISBN: 0898712971

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A comprehensive and lucid text that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems.


Control and Estimation of Distributed Parameter Systems

Control and Estimation of Distributed Parameter Systems
Author: W. Desch
Publisher: Birkhäuser
Total Pages: 308
Release: 2012-12-06
Genre: Mathematics
ISBN: 303488849X

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Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.


Control and Estimation of Distributed Parameter Systems

Control and Estimation of Distributed Parameter Systems
Author: Wolfgang Desch
Publisher: Birkhäuser
Total Pages: 270
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034880014

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Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to the forefront of control and estimation of distributed parameter systems.


Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena
Author: Wolfgang Desch
Publisher: Birkhäuser
Total Pages: 403
Release: 2012-12-06
Genre: Mathematics
ISBN: 303488530X

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22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.


Estimation Techniques for Distributed Parameter Systems

Estimation Techniques for Distributed Parameter Systems
Author: H.T. Banks
Publisher: Springer Science & Business Media
Total Pages: 328
Release: 2012-12-06
Genre: Science
ISBN: 1461237009

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The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.


Distributed Parameter Systems

Distributed Parameter Systems
Author: Willis Harmon Ray
Publisher:
Total Pages: 624
Release: 1978
Genre: Science
ISBN:

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Distributed Parameter Control Systems

Distributed Parameter Control Systems
Author: Spyros G. Tzafestas
Publisher: Elsevier
Total Pages: 526
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 148314738X

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Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.


Distributed Parameter Systems

Distributed Parameter Systems
Author: S. Ōmatu
Publisher: Oxford University Press, USA
Total Pages: 456
Release: 1989
Genre: Mathematics
ISBN:

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In this unified account of the mathematical theory of distributed parameter systems (DPS), the authors cover all major aspects of the control, estimation, and identification of such systems, and their application in engineering problems. The first part of the book is devoted to the basic results in deterministic and stochastic partial differential equations, which are applied to the optimal control and estimation theories for DPS. Part two then applies this knowledge in an engineering setting, discussing optimal estimators, optimal sensor and actuator locations, and computational techniques.


Controller Design for Distributed Parameter Systems

Controller Design for Distributed Parameter Systems
Author: Kirsten A. Morris
Publisher: Springer Nature
Total Pages: 295
Release: 2020-06-01
Genre: Technology & Engineering
ISBN: 3030349497

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This book addresses controller and estimator design for systems that vary both spatially and in time: systems like fluid flow, acoustic noise and flexible structures. It includes coverage of the selection and placement of actuators and sensors for such distributed-parameter systems. The models for distributed parameter systems are coupled ordinary/partial differential equations. Approximations to the governing equations, often of very high order, are required and this complicates both controller design and optimization of the hardware locations. Control system and estimator performance depends not only on the controller/estimator design but also on the location of the hardware. In helping the reader choose the best location for actuators and sensors, the analysis provided in this book is crucial because neither intuition nor trial-and-error is foolproof, especially where multiple sensors and actuators are required, and moving hardware can be difficult and costly. The mechatronic approach advocated, in which controller design is integrated with actuator location, can lead to better performance without increased cost. Similarly, better estimation can be obtained with carefully placed sensors. The text shows how proper hardware placement varies depending on whether, disturbances are present, whether the response should be reduced to an initial condition or whether controllability and/or observability have to be optimized. This book is aimed at non-specialists interested in learning controller design for distributed-parameter systems and the material presented has been used for student teaching. The relevant basic systems theory is presented and followed by a description of controller synthesis using lumped approximations. Numerical algorithms useful for efficient implementation in real engineering systems and practical computational challenges are also described and discussed.