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Book Estimation Techniques for Distributed Parameter Systems

Download or read book Estimation Techniques for Distributed Parameter Systems written by H.T. Banks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Optimal Measurement Methods for Distributed Parameter System Identification

Download or read book Optimal Measurement Methods for Distributed Parameter System Identification written by Dariusz Ucinski and published by CRC Press. This book was released on 2004-08-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For dynamic distributed systems modeled by partial differential equations, existing methods of sensor location in parameter estimation experiments are either limited to one-dimensional spatial domains or require large investments in software systems. With the expense of scanning and moving sensors, optimal placement presents a critical problem.

Book Real time Estimation of Distributed Parameters Systems

Download or read book Real time Estimation of Distributed Parameters Systems written by Daniel Benjamin Work and published by . This book was released on 2010 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation is motivated by the practical problem of highway traffic estimation using velocity measurements from GPS enabled mobile devices such as cell phones. In order to simplify the estimation procedure, a velocity model for highway traffic is constructed, which results in a dynamical system in which the observation operator is linear. It presents a new scalar hyperbolic partial differential equation (PDE) model for traffic velocity evolution on highways, based on the seminal Lighthill-Whitham-Richards (LWR) PDE for density. Equivalence of the solution of the new velocity PDE and the solution of the LWR PDE is shown for quadratic flux functions. Because this equivalence does not hold for general flux functions, a discretized model of velocity evolution based on the Godunov scheme applied to the LWR PDE is proposed. Using an explicit instantiation of the weak boundary conditions of the PDE, the discrete velocity evolution model is generalized to a network, thus making the model applicable to arbitrary highway networks. The resulting velocity model is a nonlinear and nondifferentiable discrete time dynamical system with a linear observation operator, for which a Monte Carlo based ensemble Kalman filtering data assimilation algorithm is applied. The model and estimation technique is evaluated with experimental data obtained from a large-scale field experiment known as Mobile Century. The velocity estimates using GPS data from cellphones is compared to velocity estimates using inductive loop detector data from the PeMS system. More than 900 estimation simulations are performed using various volumes of GPS data and inductive loop detector data collected during the experiment, which show travel times can be reconstructed to less than 10% error with sufficient GPS data, loop data, or a combination of both. All data collected during the field experiment and used in the simulations are available for download at http://traffic.berkeley.edu.

Book Distributed Parameter Systems Theory  Estimation

Download or read book Distributed Parameter Systems Theory Estimation written by Peter Stavroulakis and published by . This book was released on 1983 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Estimation Techniques for Distributed Parameter Systems

Download or read book Estimation Techniques for Distributed Parameter Systems written by H. Thomas Banks and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Topics in Identification and Distributed Parameter Systems

Download or read book Topics in Identification and Distributed Parameter Systems written by Erhard Bühler and published by Springer-Verlag. This book was released on 2013-07-02 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Simulation  Parameter and State Estimation Techniques for Distributed Parameter Systems with Real time Application to a Multizone Furnace

Download or read book Simulation Parameter and State Estimation Techniques for Distributed Parameter Systems with Real time Application to a Multizone Furnace written by Alain VandeWouwer and published by . This book was released on 1994 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Modeling  Estimation  and Their Applications for Distributed Parameter Systems

Download or read book Modeling Estimation and Their Applications for Distributed Parameter Systems written by Y. Sawaragi and published by . This book was released on 2014-09-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Optimal measurement locations for parameter estimation of distributed parameter systems

Download or read book Optimal measurement locations for parameter estimation of distributed parameter systems written by Jorge Enrique Alana and published by . This book was released on 2011 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Distributed Parameter Control Systems

Download or read book Distributed Parameter Control Systems written by Spyros G. Tzafestas and published by Elsevier. This book was released on 2013-10-22 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Control and Dynamic Systems V19

Download or read book Control and Dynamic Systems V19 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 19: Nonlinear and Kalman Filtering Techniques, Part 1 of 3 covers the advances in the techniques and technology of nonlinear filters and Kalman filters. The book provides a comprehensive treatment of the theory and applications of nonlinear filters and Kalman filters. Chapters are devoted to the discussion of the exact and approximate state estimation techniques for nonlinear dynamic systems; computational efficiencies in the various approaches to filtering techniques; the implementation of filters by the use of microprocessors and distributed processor systems; and practical means for dealing with nonlinearities. Engineers, economists, seismologists, meteorologists, and communications experts will find this book a good reference material.

Book Estimation in Distributed Parameter Systems

Download or read book Estimation in Distributed Parameter Systems written by Raman Kumar Sahgal and published by . This book was released on 1976 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Control of Distributed Parameter Systems

Download or read book Control of Distributed Parameter Systems written by S. P. Banks and published by Elsevier. This book was released on 2014-05-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems. The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.

Book Estimation and Control of Distributed Parameter Systems

Download or read book Estimation and Control of Distributed Parameter Systems written by DESCH and published by Springer-Verlag. This book was released on 2013-11-21 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Identification and Estimation of Distributed Parameter Systems

Download or read book Identification and Estimation of Distributed Parameter Systems written by Kazimieras Jakstas and published by . This book was released on 1972 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos

Download or read book Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos written by Janya-anurak, Chettapong and published by KIT Scientific Publishing. This book was released on 2017-04-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the Uncertainty Quantification (UQ) approaches combined systematically to analyze and identify systems. The generalized Polynomial Chaos (gPC) expansion is applied to reduce the computational effort. The framework using gPC based on Bayesian UQ proposed in this work is capable of analyzing the system systematically and reducing the disagreement between the model predictions and the measurements of the real processes to fulfill user defined performance criteria.