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An Approximation Theory For The Identification Of Nonlinear Distributed Parameter Systems
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722063559 Total Pages :38 pages Book Rating :4.0/5 (635 download)
Book Synopsis An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems by : National Aeronautics and Space Administration (NASA)
Download or read book An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-30 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators (satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified) are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original finite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Banks, H. T. and Reich, Simeon and Rosen, I. G. Langley Research Center NAS1-18107; NAG1-517; RTOP 505-90-21-01...
Book Synopsis An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems by : H. T. Banks
Download or read book An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems written by H. T. Banks and published by . This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators(satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified)are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original infinite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Keywords: Nonlinear distributed systems; Numerical analysis; Inverse problems; Approximation. (jhd).
Book Synopsis An Approximation Theory for the Identification of Nonlinear Degenerate Distributed Parameter Systems by : Chaolin Mao
Download or read book An Approximation Theory for the Identification of Nonlinear Degenerate Distributed Parameter Systems written by Chaolin Mao and published by . This book was released on 1991 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Theory and Computational Methods for the Identification and Control of Distributed Parameter Systems by :
Download or read book Approximation Theory and Computational Methods for the Identification and Control of Distributed Parameter Systems written by and published by . This book was released on 1993 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief overview and summary of the research carried out in the area of approximation theory and computational methods for the identification and control of distributed parameter systems is provided. In particular, this final report details our efforts during the period 1 November 1990-31 October, 1993 on projects involving the adaptive control and estimation, ana on-line identification of distributed parameter systems (including a collaborative experimental-effort with Air Force personnel at Phillips Laboratory at Edwards Air Force Base), the identification and control of degenerate distributed parameter systems, Multi-grid methods for the solution of optimal LQR control problems for infinite dimensional systems, wavelet based approximation in the optimal LQ control of distributed parameter systems, the identification of nonlinear Volterra equations with application to materials with memory, the LQ control of linear and nonlinear distributed parameter systems with infinite spatial domain, and optimal control and estimation of thermoelastic systems with applications to thermo-acoustic refrigeration. Approximation control, Identification distributed parameter systems.
Book Synopsis Numerical Studies of Identification in Nonlinear Distributed Parameter Systems by : Institute for Computer Applications in Science and Engineering
Download or read book Numerical Studies of Identification in Nonlinear Distributed Parameter Systems written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Methods for the Identification and Control of Distributed Parameter Systems with Applications to Flexible Structures by :
Download or read book Approximation Methods for the Identification and Control of Distributed Parameter Systems with Applications to Flexible Structures written by and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief overview and summary of results obtained in the development, analysis, and testing of approximation theory and techniques for the identification and control of distributed parameter systems is provided. The research carried out under this grant can be classified into seven sub-headings. These include (1) the identification of nonlinear distributed parameter systems, (2) the identification and control of thermoelastic systems, (3) the identification and control of degenerate distributed parameter systems, (4) discrete-time linear quadratic control of distributed parameter systems, (5) optimal LQG control of discrete time parabolic systems, (6) optimal fixed finite order compensators for infinite dimensional systems, and (7) convergence of Galerkin approximations to operator Riccati equations. Our results in each of these areas is described separately and in turn.
Book Synopsis Optimal Measurement Methods for Distributed Parameter System Identification by : Dariusz Ucinski
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 Synopsis Framework for Analysis and Identification of Nonlinear Distributed Parameter Systems using Bayesian Uncertainty Quantification based on Generalized Polynomial Chaos by : Janya-anurak, Chettapong
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.
Book Synopsis Identification and Control in Systems Governed by Partial Differential Equations by : H. Thomas Banks
Download or read book Identification and Control in Systems Governed by Partial Differential Equations written by H. Thomas Banks and published by SIAM. This book was released on 1993-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Galerkin Approximation for Inverse Problems for Nonautonomous Nonlinear Distributed Systems by : H. T. Banks
Download or read book Galerkin Approximation for Inverse Problems for Nonautonomous Nonlinear Distributed Systems written by H. T. Banks and published by . This book was released on 1988 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control of Distributed Parameter Systems 1982 by : Jean-Pierre Babary
Download or read book Control of Distributed Parameter Systems 1982 written by Jean-Pierre Babary and published by Elsevier. This book was released on 2014-05-16 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Book Synopsis Topics in Identification and Distributed Parameter Systems by : Erhard Bühler
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 Synopsis Control of Distributed Parameter Systems 1989 by : M. Amouroux
Download or read book Control of Distributed Parameter Systems 1989 written by M. Amouroux and published by Elsevier. This book was released on 2014-06-28 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722208783 Total Pages :34 pages Book Rating :4.2/5 (87 download)
Book Synopsis Estimation on Nonlinear Damping in Second Order Distributed Parameter Systems by : National Aeronautics and Space Administration (NASA)
Download or read book Estimation on Nonlinear Damping in Second Order Distributed Parameter Systems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximation and convergence theory for the identification of nonlinear damping in abstract wave equations is developed. It is assumed that the unknown dissipation mechanism to be identified can be described by a maximal monotone operator acting on the generalized velocity. The stiffness is assumed to be linear and symmetric. Functional analytic techniques are used to establish that solutions to a sequence of finite dimensional (Galerkin) approximating identification problems in some sense approximate a solution to the original infinite dimensional inverse problem. Banks, H. T. and Reich, Simeon and Rosen, I. G. Unspecified Center NAS1-18107; NAS1-18605; F49620-86-C-0111; AF-AFOSR-0356-87; NSF MCS-85-04316; NAG1-517...
Book Synopsis Approximation Methods for the Identification and Control of Distributed Parameter Systems by : I. G. Rosen
Download or read book Approximation Methods for the Identification and Control of Distributed Parameter Systems written by I. G. Rosen and published by . This book was released on 1987 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efforts to develop computational methods for the identification and optimal control of linear and nonlinear systems governed by distributed parameter systems are reported on. Specifically, approximation methods for determining Optimal LOG compensators (feedback control and estimator gains) and functional parameters in linear and nonlinear partial differential equations and hereditary systems were developed, analyzed and tested. The study included theoretical, experimental and numerical components. Covergence theories for spline-based and modal finite element schemes were established and extensive numerical studies on both conventional (serial) and vector supercomputers were carried out. A parameter estimation scheme was tested using experimental data taken from the RPL structure, a laboratory experiment designed to test control algorithms for the large angle slewing of spacecraft with flexible appendages, and other projects involving the identification of flexible structures based upon experimental data were initiated.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Distributed Parameter Control Systems by : Spyros G. Tzafestas
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.
