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Orthogonal Functions In Systems And Control
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Book Synopsis Orthogonal Functions in Systems and Control by : Kanti Bhushan Datta
Download or read book Orthogonal Functions in Systems and Control written by Kanti Bhushan Datta and published by World Scientific. This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions.
Book Synopsis General Hybrid Orthogonal Functions and Their Applications in Systems and Control by : Amit Patra
Download or read book General Hybrid Orthogonal Functions and Their Applications in Systems and Control written by Amit Patra and published by Springer. This book was released on 1996-04 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal Functions may be divided into two classes. The class of continuous systems and the discontinuous class of piecewise constant systems. Problems arise because continuous systems form an unsatisfactory basis for the expansion of functions containing discontinuities whilst piecewise constant systems insert artificial discontinuities into all representations. Since these two classes of functions would be unsuccessful in coping with functions that possess both continuity and discontinuity we must look to General Hybrid Orthogonal Functions (GHOF) which have been shown to be the most appropriate in such situations. This book introduces the system of GHOF, discusses its properties, develops an operational algebra for the discretization of continuous dynamic systems on the system of GHOF and illustrates its use as a flexible and powerful framework of computational tools in a wide range of systems and control.
Book Synopsis Piecewise Constant Orthogonal Functions and Their Application to Systems and Control by : Ganti Prasada Rao
Download or read book Piecewise Constant Orthogonal Functions and Their Application to Systems and Control written by Ganti Prasada Rao and published by Springer. This book was released on 1983 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control System Analysis and Identification with MATLAB® by : Anish Deb
Download or read book Control System Analysis and Identification with MATLAB® written by Anish Deb and published by CRC Press. This book was released on 2018-10-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Features: The Book Covers recent results of the traditional block pulse and other functions related material Discusses ‘functions related to block pulse functions’ extensively along with their applications Contains analysis and identification of linear time-invariant systems, scaled system, and sampled-data system Presents an overview of piecewise constant orthogonal functions starting from Haar to sample-and-hold function Includes examples and MATLAB codes with supporting numerical exampless.
Book Synopsis Piecewise Constant Orthogonal Functions and Their Application to Systems and Control by : Ganti P. Rao
Download or read book Piecewise Constant Orthogonal Functions and Their Application to Systems and Control written by Ganti P. Rao and published by Springer. This book was released on 2014-03-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Triangular Orthogonal Functions for the Analysis of Continuous Time Systems by : Anīśa Deba
Download or read book Triangular Orthogonal Functions for the Analysis of Continuous Time Systems written by Anīśa Deba and published by Anthem Press. This book was released on 2011 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function family (PCOF). Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solution with less mean integral squared error (MISE). After introducing the rich background of PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set - such as basic properties, function approximation, integral operational metrics, etc. - are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions. This book is a source of new knowledge to researchers and academicians in the area of mathematics as well as systems and control.
Book Synopsis Triangular Orthogonal Functions for the Analysis of Continuous Time Systems by : Anish Deb
Download or read book Triangular Orthogonal Functions for the Analysis of Continuous Time Systems written by Anish Deb and published by Anthem Press. This book was released on 2011-05-15 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a new set of triangular orthogonal functions, which evolved from the set of well-known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solution with less mean integral squared error (MISE). After introducing the rich background of PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set – such as basic properties, function approximation, integral operational metrics, etc. – are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions.
Book Synopsis Continuous Time Dynamical Systems by : B.M. Mohan
Download or read book Continuous Time Dynamical Systems written by B.M. Mohan and published by CRC Press. This book was released on 2018-10-08 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomials State estimation of linear time-invariant systems Linear optimal control systems incorporating observers Optimal control of systems described by integro-differential equations Linear-quadratic-Gaussian control Optimal control of singular systems Optimal control of time-delay systems with and without reverse time terms Optimal control of second-order nonlinear systems Hierarchical control of linear time-invariant and time-varying systems
Book Synopsis Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions by : Anish Deb
Download or read book Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions written by Anish Deb and published by Springer. This book was released on 2016-01-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new set of orthogonal hybrid functions (HF) which approximates time functions in a piecewise linear manner which is very suitable for practical applications. The book presents an analysis of different systems namely, time-invariant system, time-varying system, multi-delay systems---both homogeneous and non-homogeneous type- and the solutions are obtained in the form of discrete samples. The book also investigates system identification problems for many of the above systems. The book is spread over 15 chapters and contains 180 black and white figures, 18 colour figures, 85 tables and 56 illustrative examples. MATLAB codes for many such examples are included at the end of the book.
Author :Peter S.C. Heuberger Publisher :Springer Science & Business Media ISBN 13 :9781852339562 Total Pages :432 pages Book Rating :4.3/5 (395 download)
Book Synopsis Modelling and Identification with Rational Orthogonal Basis Functions by : Peter S.C. Heuberger
Download or read book Modelling and Identification with Rational Orthogonal Basis Functions written by Peter S.C. Heuberger and published by Springer Science & Business Media. This book was released on 2005-06-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing. Modelling and Identification with Rational Orthogonal Basis Functions affords a self-contained description of the development of the field over the last 15 years, furnishing researchers and practising engineers working with dynamical systems and stochastic processes with a standard reference work.
Book Synopsis Power Electronic Systems by : Anish Deb
Download or read book Power Electronic Systems written by Anish Deb and published by CRC Press. This book was released on 2017-12-19 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Totally Different Outlook on Power Electronic System Analysis Power Electronic Systems: Walsh Analysis with MATLAB® builds a case for Walsh analysis as a powerful tool in the study of power electronic systems. It considers the application of Walsh functions in analyzing power electronic systems, and the advantages offered by Walsh domain analysis of power electronic systems. Solves Power Electronic Systems in an Unconventional Way This book successfully integrates power electronics as well as systems and control. Incorporating a complete orthonormal function set very much unlike the sine–cosine functions, it introduces a blending between piecewise constant orthogonal functions and power electronic systems. It explores the background and evolution of power electronics, and discusses Walsh and related orthogonal basis functions. It develops the mathematical foundation of Walsh analysis, and first- and second-order system analyses by Walsh technique. It also describes the Walsh domain operational method and how it is applied to linear system analysis. Introduces Theories Step by Step While presenting the underlying principles of Walsh analysis, the authors incorporate many illustrative examples, and include a basic introduction to linear algebra and MATLAB® programs. They also examine different orthogonal piecewise constant basis functions like Haar, Walsh, slant, block pulse functions, and other related orthogonal functions along with their time scale evolution. • Analyzes pulse–fed single input single output (SISO) first- and second-order systems • Considers stepwise and continuously pulse width modulated chopper systems • Describes a detailed analysis of controlled rectifier circuits • Addresses inverter circuits Power Electronic Systems: Walsh Analysis with MATLAB® is written for postgraduate students, researchers, and academicians in the area of power electronics as well as systems and control.
Book Synopsis Identification of Continuous-Time Systems by : Allamaraju Subrahmanyam
Download or read book Identification of Continuous-Time Systems written by Allamaraju Subrahmanyam and published by CRC Press. This book was released on 2019-12-06 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models of dynamical systems are required for various purposes in the field of systems and control. The models are handled either in discrete time (DT) or in continuous time (CT). Physical systems give rise to models only in CT because they are based on physical laws which are invariably in CT. In system identification, indirect methods provide DT models which are then converted into CT. Methods of directly identifying CT models are preferred to the indirect methods for various reasons. The direct methods involve a primary stage of signal processing, followed by a secondary stage of parameter estimation. In the primary stage, the measured signals are processed by a general linear dynamic operation—computational or realized through prefilters, to preserve the system parameters in their native CT form—and the literature is rich on this aspect. In this book: Identification of Continuous-Time Systems-Linear and Robust Parameter Estimation, Allamaraju Subrahmanyam and Ganti Prasada Rao consider CT system models that are linear in their unknown parameters and propose robust methods of estimation. This book complements the existing literature on the identification of CT systems by enhancing the secondary stage through linear and robust estimation. In this book, the authors provide an overview of CT system identification, consider Markov-parameter models and time-moment models as simple linear-in-parameters models for CT system identification, bring them into mainstream model parameterization via basis functions, present a methodology to robustify the recursive least squares algorithm for parameter estimation of linear regression models, suggest a simple off-line error quantification scheme to show that it is possible to quantify error even in the absence of informative priors, and indicate some directions for further research. This modest volume is intended to be a useful addition to the literature on identifying CT systems.
Book Synopsis Orthogonal Functions by : William Jones
Download or read book Orthogonal Functions written by William Jones and published by CRC Press. This book was released on 2020-12-22 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."
Book Synopsis Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems by : Han-Xiong Li
Download or read book Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems written by Han-Xiong Li and published by Springer Science & Business Media. This book was released on 2011-02-24 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.
Book Synopsis Identification of Continuous-Time Systems by : N.K. Sinha
Download or read book Identification of Continuous-Time Systems written by N.K. Sinha and published by Springer Science & Business Media. This book was released on 1991-07-31 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In view of the importance of system identification, the International Federation of Automatic Control (IFAC) and the International Federation of Operational Research Societies (IFORS) hold symposia on this topic every three years. Interest in continuous time approaches to system identification has been growing in recent years. This is evident from the fact that the of invited sessions on continuous time systems has increased from one in the 8th number Symposium that was held in Beijing in 1988 to three in the 9th Symposium in Budapest in 1991. It was during the 8th Symposium in August 1988 that the idea of bringing together important results on the topic of Identification of continuous time systems was conceived. Several distinguished colleagues, who were with us in Beijing at that time, encouraged us by promising on the spot to contribute to a comprehensive volume of collective work. Subsequently, we contacted colleagues all over the world, known for their work in this area, with a formal request to contribute to the proposed volume. The response was prompt and overwhelmingly encouraging. We sincerely thank all the authors for their valuable contributions covering various aspects of identification of continuous time systems.
Book Synopsis Nonlinear Dynamics and Control by : Walter Lacarbonara
Download or read book Nonlinear Dynamics and Control written by Walter Lacarbonara and published by Springer Nature. This book was released on 2020-01-27 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics and Control. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume II include influence of nonlinearities on vibration control systems; passive, semi-active, active control of structures and systems; synchronization; robotics and human-machine interaction; network dynamics control (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics); and fractional-order control.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1968 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
