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Model Fitting in Frequency Domain Imposing Stability of the Model

Model Fitting in Frequency Domain Imposing Stability of the Model
Author: László Balogh
Publisher: ASP / VUBPRESS / UPA
Total Pages: 203
Release: 2010-09
Genre: Signal processing
ISBN: 9054876484

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After presenting a new mathematical proof, this study describes how system identification--a powerful technique for constructing accurate models of complex systems--can be used to evaluate noisy measurements. The discussion goes on to show how noisy data can be manipulated by researchers working on projects in physical interpretation, simulation, prediction, estimation, and control.


System- and Data-Driven Methods and Algorithms

System- and Data-Driven Methods and Algorithms
Author: Peter Benner
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 346
Release: 2021-11-08
Genre: Mathematics
ISBN: 3110497719

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An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.


Energy Research Abstracts

Energy Research Abstracts
Author:
Publisher:
Total Pages: 622
Release: 1993
Genre: Power resources
ISBN:

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Frequency-domain Equivalents for Passive Networks

Frequency-domain Equivalents for Passive Networks
Author: Amir Mehdi Mousavi
Publisher:
Total Pages: 0
Release: 1999
Genre:
ISBN:

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This thesis presents efficient methods for constructing an equivalent of an immittance matrix of a passive electric network based on either infinite-dimensional theory or fitting of measured (calculated) frequency responses. The immittance matrix can be used: (1) To represent a frequency-dependent equivalent of a large electric network, e.g. an interconnected power system, with respect to prespecified terminal(s), in a wide frequency range for (a) analyses of electromagnetic transients, and (b) analyses and synthesis of controllers, or (2) To represent a frequency dependent equivalent of electric apparatus, e.g. a power transformer, in a wide frequency range, to investigate its terminal behaviour with respect to an external phenomenon (black-box representation). Requirements for the equivalent immittance matrix to provide stable results are that (1) all its poles must lie in the left-half plane and, (2) it must represent a passive network. Immittance matrix of a passive network represents a positive real system. Necessary and sufficient conditions for an immittance matrix to represent a passive network, for both rational transfer matrices and state-space matrices, are presented. Based on developed transforms of these conditions, direct methods, for testing positive realness are deduced. The methods and the corresponding algorithms require only evaluation of a set of simple algebraic conditions. These provide alternative procedures to the application of positive real lemma. Based on these algorithms, positive realness of an equivalent is guaranteed. Based on the following two approaches, a finite-dimensional, linear, and passive model of a network, represented by an immittance matrix, is deduced. (1) The first approach is based on solution of a special class of linear hyperbolic partial differential equations using infinite-dimensional theory. Passivity and stability conditions are ensured. (2) The second approach is based on approximation (fitting) of measured (calculated) frequency responses using either a rational immittance matrix or a state-space representation. Stability and passivity conditions for the model are imposed during optimization fitting process. Applications of the developed approaches and corresponding algorithms are demonstrated based on obtaining frequency-dependent equivalents of (1) a large 500kV transmission system, and (2) a three-phase distribution class transformer.


Aeroservoelasticity

Aeroservoelasticity
Author: Ashish Tewari
Publisher: Springer
Total Pages: 323
Release: 2015-03-24
Genre: Mathematics
ISBN: 1493923684

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This monograph presents the state of the art in aeroservoelastic (ASE) modeling and analysis and develops a systematic theoretical and computational framework for use by researchers and practicing engineers. It is the first book to focus on the mathematical modeling of structural dynamics, unsteady aerodynamics, and control systems to evolve a generic procedure to be applied for ASE synthesis. Existing robust, nonlinear, and adaptive control methodology is applied and extended to some interesting ASE problems, such as transonic flutter and buffet, post-stall buffet and maneuvers, and flapping flexible wing. The author derives a general aeroservoelastic plant via the finite-element structural dynamic model, unsteady aerodynamic models for various regimes in the frequency domain, and the associated state-space model by rational function approximations. For more advanced models, the full-potential, Euler, and Navier-Stokes methods for treating transonic and separated flows are also briefly addressed. Essential ASE controller design and analysis techniques are introduced to the reader, and an introduction to robust control-law design methods of LQG/LTR and H2/H∞ synthesis is followed by a brief coverage of nonlinear control techniques of describing functions and Lyapunov functions. Practical and realistic aeroservoelastic application examples derived from actual experiments are included throughout. Aeroservoelasiticity fills an important gap in the aerospace engineering literature and will be a valuable guide for graduate students and advanced researchers in aerospace engineering, as well as professional engineers, technicians, and test pilots in the aircraft industry and laboratories.


Statistical Methods in the Atmospheric Sciences

Statistical Methods in the Atmospheric Sciences
Author: Daniel S. Wilks
Publisher: Academic Press
Total Pages: 697
Release: 2011-07-04
Genre: Science
ISBN: 0123850231

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Statistical Methods in the Atmospheric Sciences, Third Edition, explains the latest statistical methods used to describe, analyze, test, and forecast atmospheric data. This revised and expanded text is intended to help students understand and communicate what their data sets have to say, or to make sense of the scientific literature in meteorology, climatology, and related disciplines. In this new edition, what was a single chapter on multivariate statistics has been expanded to a full six chapters on this important topic. Other chapters have also been revised and cover exploratory data analysis, probability distributions, hypothesis testing, statistical weather forecasting, forecast verification, and time series analysis. There is now an expanded treatment of resampling tests and key analysis techniques, an updated discussion on ensemble forecasting, and a detailed chapter on forecast verification. In addition, the book includes new sections on maximum likelihood and on statistical simulation and contains current references to original research. Students will benefit from pedagogical features including worked examples, end-of-chapter exercises with separate solutions, and numerous illustrations and equations. This book will be of interest to researchers and students in the atmospheric sciences, including meteorology, climatology, and other geophysical disciplines. Accessible presentation and explanation of techniques for atmospheric data summarization, analysis, testing and forecasting Many worked examples End-of-chapter exercises, with answers provided


Robust Aeroservoelastic Stability Analysis

Robust Aeroservoelastic Stability Analysis
Author: Rick Lind
Publisher: Springer Science & Business Media
Total Pages: 211
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447108493

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The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology impacts all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies, . . . . , new challenges. Much of this deVelopment work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. The high performance control systems applications in aerospace and astronautics almost have a tradition of exploiting the most advanced control theoretical developments first. The optimal control and ffitering paradigm associated with the names of Kalman, Bucy, Anderson and Moore found application in the astronautics of the 1960'S and 1970'S. At the beginning of the 1980'S, control theory moved on to robustness, singular values and mu-analysis. This new work was associated with the names of Zames, Doyle, Glover, Balas among others. The Advances in Industrial Control monograph series have published several volumes over the years which have archived the applications experience garnered from applying robust control to the aerospace sector problems. Rick Lind and Marty Brenner add to this set with their volume on robust aeroservoelastic stability. This volume reports the application of the structured singular value to aeroelastic and aeroservoelastic aerospace problems.


Automatic Control with Interactive Tools

Automatic Control with Interactive Tools
Author: José Luis Guzmán
Publisher: Springer Nature
Total Pages: 366
Release: 2023-06-27
Genre: Technology & Engineering
ISBN: 3031099206

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Automatic Control with Interactive Tools is a textbook for undergraduate study of automatic control. Providing a clear course structure, and covering concepts taught in engineering degrees, this book is an ideal companion to those studying or teaching automatic control. The authors have used this text successfully to teach their students. By providing unique interactive tools, which have been designed to illustrate the most important automatic control concepts, Automatic Control with Interactive Tools helps students overcome the potential barriers presented by the significant mathematical content of automatic control courses. Even when they have previously had only the benefit of an introductory control course, the software tools presented will help readers to get to grips with the use of such techniques as differential equations, linear algebra, and differential geometry. This textbook covers the breadth of automatic control topics, including time responses of dynamic systems, the Nyquist criterion and PID control. It switches smoothly between analytical and practical approaches. Automatic Control with Interactive Tools offers a clear introduction to automatic control, ideal for undergraduate students, instructors and anyone wishing to familiarize themselves with the fundamentals of the subject