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Operator Approach To Linear Control Systems
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Book Synopsis Operator Approach to Linear Control Systems by : A. Cheremensky
Download or read book Operator Approach to Linear Control Systems written by A. Cheremensky and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of optimization runs through most parts of control theory. The simplest optimal controls are preplanned (programmed) ones. The problem of constructing optimal preplanned controls has been extensively worked out in literature (see, e. g. , the Pontrjagin maximum principle giving necessary conditions of preplanned control optimality). However, the concept of op timality itself has a restrictive character: it is limited by what one means under optimality in each separate case. The internal contradictoriness of the preplanned control optimality ("the better is the enemy of the good") yields that the practical significance of optimal preplanned controls proves to be not great: such controls are usually sensitive to unregistered disturbances (includ ing the round-off errors which are inevitable when computer devices are used for forming controls), as there is the effect of disturbance accumulation in the control process which makes controls to be of little use on large time inter vals. This gap is mainly provoked by oversimplified settings of optimization problems. The outstanding result of control theory established in the end of the first half of our century is that controls in feedback form ensure the weak sensitivity of closed loop systems with respect to "small" unregistered internal and external disturbances acting in them (here we do not need to discuss performance indexes, since the considered phenomenon is of general nature). But by far not all optimal preplanned controls can be represented in a feedback form.
Book Synopsis Operator Approach to Linear Control Systems by : A. Cheremensky
Download or read book Operator Approach to Linear Control Systems written by A. Cheremensky and published by . This book was released on 2014-01-15 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Systems and Control by : Martin J. Corless
Download or read book Linear Systems and Control written by Martin J. Corless and published by CRC Press. This book was released on 2003-03-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
Book Synopsis Linear Operators and Linear Systems by : Jonathan Richard Partington
Download or read book Linear Operators and Linear Systems written by Jonathan Richard Partington and published by . This book was released on 2004 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the common ground between operator theory and linear systems theory. Suitable for students of functional analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.
Book Synopsis Linear Operators and Linear Systems by : Jonathan R. Partington
Download or read book Linear Operators and Linear Systems written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 2004-03-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Functional Analysis and Control Theory by : S. Rolewicz
Download or read book Functional Analysis and Control Theory written by S. Rolewicz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.
Book Synopsis Theory of Stabilization for Linear Boundary Control Systems by : Takao Nambu
Download or read book Theory of Stabilization for Linear Boundary Control Systems written by Takao Nambu and published by CRC Press. This book was released on 2017-03-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading to an explicit design of the feedback scheme. The problem of output stabilization is discussed, and some interesting results are developed when the observability or the controllability conditions are not satisfied.
Book Synopsis Linear Control Systems by : Mohammad Jamshidi
Download or read book Linear Control Systems written by Mohammad Jamshidi and published by Pergamon. This book was released on 1986 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Analysis and Linear Control Theory by : J. R. Leigh
Download or read book Functional Analysis and Linear Control Theory written by J. R. Leigh and published by Courier Corporation. This book was released on 2007-03-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: London; New York: Academic Press, 1980, in series: Mathematics in science and engineering; v. 156.
Book Synopsis Linear Control Theory by : Frederick Walker Fairman
Download or read book Linear Control Theory written by Frederick Walker Fairman and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include: * The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers * A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts * The examination of linear system theory as it relates to controltheory * The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability * The development of model reduction via balanced realization * The employment of the L2 gain as a basis for the development ofthe H??? controller for the design of controllers in the presenceof plant model uncertainty Senior undergraduate and postgraduate control engineering studentsand practicing control engineers will appreciate the insight thisself-contained book offers into the intelligent use of today scontrol system software tools.
Book Synopsis Nonlinear Feedback Control Systems by : Rui J. P. DeFigueiredo
Download or read book Nonlinear Feedback Control Systems written by Rui J. P. DeFigueiredo and published by . This book was released on 1993 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analytic mappings. Nonlinear Lipschitz operators. Nonlinear feedback systems. Optimal design of nonlinear feedback control systems. Coprime factorizations of nonlinear mappings for control systems. Nonlinear system identification.
Book Synopsis The Koopman Operator in Systems and Control by : Alexandre Mauroy
Download or read book The Koopman Operator in Systems and Control written by Alexandre Mauroy and published by Springer Nature. This book was released on 2020-02-22 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.
Book Synopsis Analysis and Control of Linear Systems by : Philippe de Larminat
Download or read book Analysis and Control of Linear Systems written by Philippe de Larminat and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automation of linear systems is a fundamental and essential theory. This book deals with the theory of continuous-state automated systems.
Book Synopsis Analysis and Synthesis of Delta Operator Systems by : Hongjiu Yang
Download or read book Analysis and Synthesis of Delta Operator Systems written by Hongjiu Yang and published by Springer. This book was released on 2012-04-23 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to analysis and design on delta operator systems. When sampling is fast, a dynamical system will become difficult to control, which can be seen in wide real world applications. Delta operator approach is very effective to deal with fast sampling systems. Moreover, it is easy to observe and analyze the control effect with different sampling periods in delta operator systems. The framework of this book has been carefully constructed for delta operator systems to handle sliding mode control, time delays, filter design, finite frequency and networked control. These problems indeed are especially important and significant in automation and control systems design. Through the clear framework of the book, readers can easily go through the learning process on delta operator systems via a precise and comfortable learning sequence. Following this enjoyable trail, readers will come out knowing how to use delta operator approach to deal with control problems under fast sampling case. This book should be a good reference for academies, post-graduates scientists and engineers working in the field of control science and control engineering.
Book Synopsis Estimators for Uncertain Dynamic Systems by : A.I. Matasov
Download or read book Estimators for Uncertain Dynamic Systems written by A.I. Matasov and published by Springer Science & Business Media. This book was released on 1999-01-31 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: When solving the control and design problems in aerospace and naval engi neering, energetics, economics, biology, etc., we need to know the state of investigated dynamic processes. The presence of inherent uncertainties in the description of these processes and of noises in measurement devices leads to the necessity to construct the estimators for corresponding dynamic systems. The estimators recover the required information about system state from mea surement data. An attempt to solve the estimation problems in an optimal way results in the formulation of different variational problems. The type and complexity of these variational problems depend on the process model, the model of uncertainties, and the estimation performance criterion. A solution of variational problem determines an optimal estimator. Howerever, there exist at least two reasons why we use nonoptimal esti mators. The first reason is that the numerical algorithms for solving the corresponding variational problems can be very difficult for numerical imple mentation. For example, the dimension of these algorithms can be very high.
Book Synopsis Geometrical Methods in Variational Problems by : N.A. Bobylov
Download or read book Geometrical Methods in Variational Problems written by N.A. Bobylov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping, Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.
Book Synopsis Linear Systems and Control by : Martin J. Corless
Download or read book Linear Systems and Control written by Martin J. Corless and published by CRC Press. This book was released on 2003-03-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
