Time Varying Discrete Linear Systems

Author : Aristide Halanay,Vlad Ionescu
Publisher : Birkhäuser
Page : 237 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884990

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Time-Varying Discrete Linear Systems by Aristide Halanay,Vlad Ionescu Pdf

Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.

Author : Aristide Halanay,Vlad Ionescu
Publisher : Birkhäuser
Page : 230 pages
File Size : 45,8 Mb
Release : 1994-03-01
Category : Mathematics
ISBN : 3764350121

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Time-Varying Discrete Linear Systems by Aristide Halanay,Vlad Ionescu Pdf

Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.

Author : Akira Ichikawa,Hitoshi Katayama
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 52,7 Mb
Release : 2001-02-26
Category : Medical
ISBN : 1852334398

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Linear Time Varying Systems and Sampled-data Systems by Akira Ichikawa,Hitoshi Katayama Pdf

This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.

Author : Zoran M. Buchevats,Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 454 pages
File Size : 47,6 Mb
Release : 2017-11-22
Category : Technology & Engineering
ISBN : 9781351707596

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Linear Discrete-Time Systems by Zoran M. Buchevats,Lyubomir T. Gruyitch Pdf

This book covers crucial lacunae of the linear discrete-time time-invariant dynamical systems and introduces the reader to their treatment, while functioning under real, natural conditions, in forced regimes with arbitrary initial conditions. It provides novel theoretical tools necessary for the analysis and design of the systems operating in stated conditions. The text completely covers two well-known systems, IO and ISO, along with a new system, IIO. It discovers the concept of the full transfer function matrix F(z) in the z-complex domain, which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. Consequently, it addresses the full system matrix P(z) and the full block diagram technique based on the use of F(z), which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. The book explores the direct relationship between the system full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the linear discrete-time time-invariant system, for short systems.

Author : Allen Gersho
Publisher : Unknown
Page : 126 pages
File Size : 47,7 Mb
Release : 1961
Category : Systems engineering
ISBN : CORNELL:31924003960840

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Properties of Time-varying Linear Systems by Allen Gersho Pdf

A time-frequency duality is used to lead to a more complete characterization of time-varying linear systems. Several system functions are defined, which may be used to relate the input and output signals in different ways. In particular, a new transfer function is introduced that is dual to Zadeh's H transfer function for time-varying systems. The use of this transfer function leads to a new class of separable models for synthesizing time-varying systems. It is shown that under appropriate conditions either transfer function is determined uniquely from its real part. A new synthesis procedure based on the real-part sufficiency of the transfer function is described. (Author).

Author : Aristide HALANAY
Publisher : Unknown
Page : 228 pages
File Size : 51,9 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:710026540

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Time-varying discrete linear systems by Aristide HALANAY Pdf

General motivation; Evolutions and related basic notions; Nodes; Riccati equations and nodes; Disturbance attenuation; Appendix A: Discrete-time stochastic control; Appendix B: Almostic periodic discrete-time systems.

Author : Kostas S. Tsakalis,Petros A. Ioannou
Publisher : Unknown
Page : 302 pages
File Size : 53,7 Mb
Release : 1993
Category : Science
ISBN : UOM:39015029165209

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Linear Time-varying Systems by Kostas S. Tsakalis,Petros A. Ioannou Pdf

Author : Hoai-Nam Nguyen
Publisher : Springer
Page : 0 pages
File Size : 49,8 Mb
Release : 2014-01-02
Category : Technology & Engineering
ISBN : 331902826X

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Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems by Hoai-Nam Nguyen Pdf

A comprehensive development of interpolating control, this monograph demonstrates the reduced computational complexity of a ground-breaking technique compared with the established model predictive control. The text deals with the regulation problem for linear, time-invariant, discrete-time uncertain dynamical systems having polyhedral state and control constraints, with and without disturbances, and under state or output feedback. For output feedback a non-minimal state-space representation is used with old inputs and outputs as state variables. Constrained Control of Uncertain, Time-Varying, Discrete-time Systems details interpolating control in both its implicit and explicit forms. In the former at most two linear-programming or one quadratic-programming problem are solved on-line at each sampling instant to yield the value of the control variable. In the latter the control law is shown to be piecewise affine in the state, and so the state space is partitioned into polyhedral cells so that at each sampling interval the cell to which the measured state belongs must be determined. Interpolation is performed between vertex control, and a user-chosen control law in its maximal admissible set surrounding the origin. Novel proofs of recursive feasibility and asymptotic stability of the vertex control law, and of the interpolating control law are given. Algorithms for implicit and explicit interpolating control are presented in such a way that the reader may easily realize them. Each chapter includes illustrative examples, and comparisons with model predictive control in which the disparity in computational complexity is shown to be particularly in favour of interpolating control for high-order systems, and systems with uncertainty. Furthermore, the performance of the two methods proves similar except in those cases when a solution cannot be found with model predictive control at all. The book concludes with two high dimensional examples and a benchmark robust model predictive control problem: the non-isothermal continuously-stirred-tank reactor. For academic control researchers and students or for control engineers interested in implementing constrained control systems Constrained Control of Uncertain, Time-Varying, Discrete-time Systems will provide an attractive low-complexity control alternative for cases in which model predictive control is currently attempted.

Author : William S. Levine
Publisher : CRC Press
Page : 1580 pages
File Size : 54,6 Mb
Release : 1996-02-23
Category : Technology & Engineering
ISBN : 0849385709

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The Control Handbook by William S. Levine Pdf

This is the biggest, most comprehensive, and most prestigious compilation of articles on control systems imaginable. Every aspect of control is expertly covered, from the mathematical foundations to applications in robot and manipulator control. Never before has such a massive amount of authoritative, detailed, accurate, and well-organized information been available in a single volume. Absolutely everyone working in any aspect of systems and controls must have this book!

Author : Israel Gohberg
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 41,7 Mb
Release : 1992
Category : Mathematics
ISBN : 3764327383

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Time-Variant Systems and Interpolation by Israel Gohberg Pdf

Six papers deal with interrelated problems of modern operator theory, complex analysis, and system theory at a level accessible to advanced mathematicians and engineers. They provide a cross-section of recent advances in the understanding of the theory of time-varying systems and time-varying of analogues of interpolation problems. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Author : O.L.V. Costa,M.D. Fragoso,R.P. Marques
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 50,9 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9781846280825

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Discrete-Time Markov Jump Linear Systems by O.L.V. Costa,M.D. Fragoso,R.P. Marques Pdf

This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Author : Aleksander Nawrat,Krzysztof Simek,Andrzej Świerniak
Publisher : Springer
Page : 286 pages
File Size : 52,8 Mb
Release : 2012-08-14
Category : Technology & Engineering
ISBN : 9783642316654

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Advanced Technologies for Intelligent Systems of National Border Security by Aleksander Nawrat,Krzysztof Simek,Andrzej Świerniak Pdf

One of the world’s leading problems in the field of national security is protection of borders and borderlands. This book addresses multiple issues on advanced innovative methods of multi-level control of both ground (UGVs) and aerial drones (UAVs). Those objects combined with innovative algorithms become autonomous objects capable of patrolling chosen borderland areas by themselves and automatically inform the operator of the system about potential place of detection of a specific incident. This is achieved by using sophisticated methods of generation of non-collision trajectory for those types of objects and enabling automatic integration of both ground and aerial unmanned vehicles. The topics included in this book also cover presentation of complete information and communication technology (ICT) systems capable of control, observation and detection of various types of incidents and threats. This book is a valuable source of information for constructors and developers of such solutions for uniformed services. Scientists and researchers involved in computer vision, image processing, data fusion, control algorithms or IC can find many valuable suggestions and solutions. Multiple challenges for such systems are also presented.

Author : Guoxiang Gu
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 45,5 Mb
Release : 2012-02-14
Category : Technology & Engineering
ISBN : 9781461422815

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Discrete-Time Linear Systems by Guoxiang Gu Pdf

Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its role in system design. The book focuses on system theory (including optimal state feedback and optimal state estimation) and system design (with applications to feedback control systems and wireless transceivers, plus system identification and channel estimation).

Author : Lixian Zhang,Yanzheng Zhu,Peng Shi,Qiugang Lu
Publisher : Springer
Page : 258 pages
File Size : 55,9 Mb
Release : 2016-01-19
Category : Technology & Engineering
ISBN : 9783319288505

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Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering by Lixian Zhang,Yanzheng Zhu,Peng Shi,Qiugang Lu Pdf

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Author : John A. Richards
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642818738

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Analysis of Periodically Time-Varying Systems by John A. Richards Pdf

Many of the practical techniques developed for treating systems described by periodic differential equations have arisen in different fields of application; con sequently some procedures have not always been known to workers in areas that might benefit substantially from them. Furthermore, recent analytical methods are computationally based so that it now seems an opportune time for an applications-oriented book to be made available that, in a sense, bridges the fields in which equations with periodic coefficients arise and which draws together analytical methods that are implemented readily. This book seeks to ftll that role, from a user's and not a theoretician's view. The complexities of periodic systems often demand a computational approach. Matrix treatments therefore are emphasized here although algebraic methods have been included where they are useful in their own right or where they establish properties that can be exploited by the matrix approach. The matrix development given calls upon the nomenclature and treatment of H. D'Angelo, Linear Time Varying Systems: Analysis and Synthesis (Boston: Allyn and Bacon 1970) which deals with time-varying systems in general. It is recommended for its modernity and comprehensive approach to systems analysis by matrix methods. Since the present work is applications-oriented no attempt has been made to be complete theoretically by way of presenting all proofs, existence theorems and so on. These can be found in D'Angelo and classic and well-developed treatises such as McLachlan, N. W. : Theory and application of Mathieu functions.