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General Hybrid Orthogonal Functions And Their Applications In Systems And Control
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Book Synopsis General Hybrid Orthogonal Functions and their Applications in Systems and Control by : Ganti Prasada Rao
Download or read book General Hybrid Orthogonal Functions and their Applications in Systems and Control written by Ganti Prasada Rao and published by Springer. This book was released on 2014-03-12 with total page 121 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 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 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 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.
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 CONTROL SYSTEMS, ROBOTICS AND AUTOMATION - Volume I by : Heinz Unbehauen
Download or read book CONTROL SYSTEMS, ROBOTICS AND AUTOMATION - Volume I written by Heinz Unbehauen and published by EOLSS Publications. This book was released on 2009-10-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia of Control Systems, Robotics, and Automation is a component of the global Encyclopedia of Life Support Systems EOLSS, which is an integrated compendium of twenty one Encyclopedias. This 22-volume set contains 240 chapters, each of size 5000-30000 words, with perspectives, applications and extensive illustrations. It is the only publication of its kind carrying state-of-the-art knowledge in the fields of Control Systems, Robotics, and Automation and is aimed, by virtue of the several applications, at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.
Book Synopsis MECHANICAL ENGINEERING, ENERGY SYSTEMS AND SUSTAINABLE DEVELOPMENT -Volume V by : Konstantin V. Frolov
Download or read book MECHANICAL ENGINEERING, ENERGY SYSTEMS AND SUSTAINABLE DEVELOPMENT -Volume V written by Konstantin V. Frolov and published by EOLSS Publications. This book was released on 2009-04-15 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical Engineering, Energy Systems and Sustainable Development theme is a component of Encyclopedia of Physical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mechanical Engineering, Energy Systems and Sustainable Development with contributions from distinguished experts in the field discusses mechanical engineering - the generation and application of heat and mechanical power and the design, production, and use of machines and tools. These five volumes are aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.
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 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 2012-12-06 with total page 641 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 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 An Introduction to Hybrid Dynamical Systems by : Arjan J. van der Schaft
Download or read book An Introduction to Hybrid Dynamical Systems written by Arjan J. van der Schaft and published by Springer. This book was released on 2007-10-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.
Book Synopsis H∞ Control and Its Applications by : Ben M. Chen
Download or read book H∞ Control and Its Applications written by Ben M. Chen and published by Springer. This book was released on 2013-11-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: H... control theory is a subject that deals with the minimisation of the H... norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. H... Control and Its Applications examines both the theoretical and practical aspects of H... control from the angle of the structural properties of linear systems. Constructive algorithms for finding solutions to general singular H... control problems are presented, as well as solutions to general H... almost disturbance decoupling problems, and the applications of the theory to real-life problems with actual implementations is also presented. The book deals with all such issues for general continuous - and discrete-time systems. The book can be used in graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It is also invaluable for practising engineers in industry.
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 . This book was released on 1983 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Stabilization of Nonlinear Systems by : Dirk Aeyels
Download or read book Stability and Stabilization of Nonlinear Systems written by Dirk Aeyels and published by Springer. This book was released on 2008-01-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers were presented at the first EC-TMR Nonlinear Control Network Workshop, on Stability and Stabilization of Nonlinear Systems, that took place in March 1999, Ghent, Belgium. The TMR programme offers a unique opportunity for the academic community to expand their knowledge, share their experience and identify and discuss strategic issues in aspects of nonlinear control engineering. The aim is to create a resource centre of available expertise and research interests. This outstanding reference volume presents current and emerging research directions, including: Stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; Stabilization and regulation of nonlinear dynamical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as bifurcation analysis and optimal control. This collection of peer-reviewed papers provides a comprehensive overview of this field of research for graduate students and researchers in engineering and applied mathematics.
Book Synopsis Finite-Spectrum Assignment for Time-Delay Systems by : Qing-Guo Wang
Download or read book Finite-Spectrum Assignment for Time-Delay Systems written by Qing-Guo Wang and published by Springer. This book was released on 2007-10-03 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The presence of considerable time delays in many industrial processes is well recognized and achievable performances of conventional unity feedback control systems are degraded if a process has a relatively large time delay compared to its time constants. In this case, dead time compensation is necessary in order to enhance the performances. The most popular scheme for such compensation is the Smith Predictor, but it is unsuitable for unstable or lightly damped processes because the compensated closed-loop system always contains the process poles themselves. An alternative scheme for delay elimination from the closed-loop is the finite spectrum assignment (FSA) strategy and it can arbitrarily assign the closed-loop spectrum. One may note that the Smith Predictor Control can be found in delay systems control books and many process control books, but the FSA control is rarely included in these books. It is therefore timely and desirable to fill this gap by writing a book which gives a comprehensive treatment of the FSA approach. This is useful and worthwhile since the FSA provides not only an alternative way but also certain advantages over the Smith-Predictor. The book presents the state-of-the-art of the finite spectrum assignment for time-delay systems in frequency domain. It mainly contains those works carried out recently by the authors in this field. Most of them have been published and others are awaiting publication. They are assembled together and reorganized in such a way that the presentation is logical, smooth and systematic.
Book Synopsis Workshop on High Performance Computing and Gigabit Local Area Networks by : G. Cooperman
Download or read book Workshop on High Performance Computing and Gigabit Local Area Networks written by G. Cooperman and published by Springer. This book was released on 2006-04-11 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combination of fast, low-latency networks and high-performance, distributed tools for mathematical software has resulted in widespread, affordable scientific computing facilities. Practitioners working in the fields of computer communication networks, distributed computing, computational algebra and numerical analysis have been brought together to contribute to this volume and explore the emerging distributed and parallel technology in a scientific environment. This collection includes surveys and original research on both software infrastructure for parallel applications and hardware and architecture infrastructure. Among the topics covered are switch-based high-speed networks, ATM over local and wide area networks, network performance, application support, finite element methods, eigenvalue problems, invariant subspace decomposition, QR factorization and Todd-Coxseter coset enumeration.
