Tracking Control Of Linear Systems

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Tracking Control of Linear Systems

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 423 pages
File Size : 50,7 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781466587526

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Tracking Control of Linear Systems by Lyubomir T. Gruyitch Pdf

The primary purpose of control is to force desired behavior in an unpredictable environment, under the actions of unknown, possibly unmeasurable disturbances and unpredictable, and therefore probably nonzero, initial conditions. This means that tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. Tracking Control of Linear Systems presents the fundamentals of tracking theory for control systems. The book introduces the full transfer function matrix F(s), which substantially changes the theory of linear dynamical and control systems and enables a novel synthesis of tracking control that works more effectively in real environments. An Introduction to the New Fundamentals of the Theory of Linear Control Systems The book begins by re-examining classic linear control systems theory. It then defines and determines the system full (complete) transfer function matrix F(s) for two classes of systems: input-output (IO) control systems and input-state-output (ISO) control systems. The book also discusses the fundamentals of tracking and trackability. It presents new Lyapunov tracking control algorithms and natural tracking control (NTC) algorithms, which ensure the quality of the tracking under arbitrary disturbances and initial conditions. This natural tracking control is robust, adaptable, and simple to implement. Advances in Linear Control Systems Theory: Tracking and Trackability This book familiarizes readers with novel, sophisticated approaches and methods for tracking control design in real conditions. Contributing to the advancement of linear control systems theory, this work opens new directions for research in time-invariant continuous-time linear control systems. It builds on previous works in the field, extending treatment o

Tracking Control of Linear Systems

Author : Lyubomir Tikhomira Gruyitch
Publisher : Unknown
Page : 405 pages
File Size : 41,8 Mb
Release : 2013
Category : Automatic tracking
ISBN : 1315215756

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Tracking Control of Linear Systems by Lyubomir Tikhomira Gruyitch Pdf

The book addresses its content to control and systems science and engineering professors, researchers, Ph. D. and graduate students, designers, as well as to applied mathematicians and researchers and engineers dealing with dynamics and linear mathematical modeling of technical plants and processes. The primary purpose of control is to force the behavior in an unpredictable environment (under the actions of unknown and possibly immeasurable disturbances and unpredictable, hence most probably non-zero, initial conditions). This means that a kind of tracking is the key property that should characterize the control system. Surprisingly, the tracking theory has not been well developed. It is the stability theory that has been dominating. However, stability and tracking are mutually independent. The book sets up the fundamentals of the tracking theory for the control systems. Various tracking properties defined in the book express different tracking qualities--

Control of Linear Systems with Regulation and Input Constraints

Author : Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447107279

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Control of Linear Systems with Regulation and Input Constraints by Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti Pdf

This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.

Encyclopedia of Systems and Control

Author : John Baillieul,Tariq Samad
Publisher : Springer
Page : 1554 pages
File Size : 41,5 Mb
Release : 2015-07-29
Category : Technology & Engineering
ISBN : 1447150570

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Encyclopedia of Systems and Control by John Baillieul,Tariq Samad Pdf

The Encyclopedia of Systems and Control collects a broad range of short expository articles that describe the current state of the art in the central topics of control and systems engineering as well as in many of the related fields in which control is an enabling technology. The editors have assembled the most comprehensive reference possible, and this has been greatly facilitated by the publisher’s commitment continuously to publish updates to the articles as they become available in the future. Although control engineering is now a mature discipline, it remains an area in which there is a great deal of research activity, and as new developments in both theory and applications become available, they will be included in the online version of the encyclopedia. A carefully chosen team of leading authorities in the field has written the well over 250 articles that comprise the work. The topics range from basic principles of feedback in servomechanisms to advanced topics such as the control of Boolean networks and evolutionary game theory. Because the content has been selected to reflect both foundational importance as well as subjects that are of current interest to the research and practitioner communities, a broad readership that includes students, application engineers, and research scientists will find material that is of interest.

Trackability and Tracking of General Linear Systems

Author : Li︠u︡bomir Tikhomira Gruĭich
Publisher : CRC Press
Page : 378 pages
File Size : 53,5 Mb
Release : 2018-10-31
Category : Computers
ISBN : 0429432143

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Trackability and Tracking of General Linear Systems by Li︠u︡bomir Tikhomira Gruĭich Pdf

Trackability and Tracking of General Linear Systems deals with five classes of the systems, three of which are new, begins with the definition of time together with a brief description of its crucial properties and with the principles of the physical uniqueness and continuity of physical variables. They are essential for the natural tracking control synthesis. The book presents further new results on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the completion of the trackability and tracking concepts together with the proofs of the trackability and tracking criteria, as well as the natural tracking control synthesis for all five classes of the systems. Features * Crucially broadens the state space concept and the complex domain fundamentals of the dynamical systems to the control systems. * Addresses the knowledge and ability necessary to study and design control systems that will satisfy the fundamental control goal. * Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. * Upgrades, completes and essentially generalizes the control theory beyond the existing boundaries. * Provides information necessary to create and teach advanced inherently upgraded control courses.

Control Theory for Linear Systems

Author : Harry L. Trentelman,Anton A. Stoorvogel,Malo Hautus
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447103394

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Control Theory for Linear Systems by Harry L. Trentelman,Anton A. Stoorvogel,Malo Hautus Pdf

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Trackability and Tracking of General Linear Systems

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 380 pages
File Size : 41,6 Mb
Release : 2018-10-31
Category : Computers
ISBN : 9780429778100

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Trackability and Tracking of General Linear Systems by Lyubomir T. Gruyitch Pdf

Trackability and Tracking of General Linear Systems deals with five classes of the systems, three of which are new, begins with the definition of time together with a brief description of its crucial properties and with the principles of the physical uniqueness and continuity of physical variables. They are essential for the natural tracking control synthesis. The book presents further new results on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the completion of the trackability and tracking concepts together with the proofs of the trackability and tracking criteria, as well as the natural tracking control synthesis for all five classes of the systems. Features • Crucially broadens the state space concept and the complex domain fundamentals of the dynamical systems to the control systems. • Addresses the knowledge and ability necessary to study and design control systems that will satisfy the fundamental control goal. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and essentially generalizes the control theory beyond the existing boundaries. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Output Feedback Reinforcement Learning Control for Linear Systems

Author : Syed Ali Asad Rizvi,Zongli Lin
Publisher : Springer Nature
Page : 304 pages
File Size : 41,8 Mb
Release : 2022-11-29
Category : Science
ISBN : 9783031158582

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Output Feedback Reinforcement Learning Control for Linear Systems by Syed Ali Asad Rizvi,Zongli Lin Pdf

This monograph explores the analysis and design of model-free optimal control systems based on reinforcement learning (RL) theory, presenting new methods that overcome recent challenges faced by RL. New developments in the design of sensor data efficient RL algorithms are demonstrated that not only reduce the requirement of sensors by means of output feedback, but also ensure optimality and stability guarantees. A variety of practical challenges are considered, including disturbance rejection, control constraints, and communication delays. Ideas from game theory are incorporated to solve output feedback disturbance rejection problems, and the concepts of low gain feedback control are employed to develop RL controllers that achieve global stability under control constraints. Output Feedback Reinforcement Learning Control for Linear Systems will be a valuable reference for graduate students, control theorists working on optimal control systems, engineers, and applied mathematicians.

Linear Continuous-Time Systems

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 255 pages
File Size : 48,7 Mb
Release : 2017-07-28
Category : Technology & Engineering
ISBN : 9781351642897

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Linear Continuous-Time Systems by Lyubomir T. Gruyitch Pdf

This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text completely covers IO, ISO and IIO systems. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the also newly introduced system full transfer function matrix F(s). The text establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores the direct relationship between the system full transfer function matrix F(s) 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 of the linear continuous-time time-invariant systems, for short systems.

Linear Discrete-Time Systems

Author : Zoran M. Buchevats,Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 418 pages
File Size : 48,7 Mb
Release : 2017-11-22
Category : Technology & Engineering
ISBN : 9781351707589

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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.

Tracking Control of Networked Systems via Sliding-Mode

Author : Meng Li,Yong Chen,Ikram Ali
Publisher : Springer Nature
Page : 198 pages
File Size : 41,9 Mb
Release : 2021-10-29
Category : Technology & Engineering
ISBN : 9789811665141

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Tracking Control of Networked Systems via Sliding-Mode by Meng Li,Yong Chen,Ikram Ali Pdf

The book focuses on the research methods of networked control systems via sliding mode. The problems with network disturbances, network induced delay, out-of-sequence and packet loss, and network attacks are studied in detail. The content studied in this book is introduced in detail and is verified by simulation or experiment. It is especially suitable for readers who are interested in learning the control scheme of networked systems. This book can benefit researchers, engineers, and students in related fields such as electrical, control, automation, and cyber security.

Cooperative Tracking Control and Regulation for a Class of Multi-agent Systems

Author : Hongjing Liang,Huaguang Zhang
Publisher : Springer
Page : 173 pages
File Size : 51,7 Mb
Release : 2019-05-28
Category : Technology & Engineering
ISBN : 9789811383595

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Cooperative Tracking Control and Regulation for a Class of Multi-agent Systems by Hongjing Liang,Huaguang Zhang Pdf

This book focuses on the characteristics of cooperative control problems for general linear multi-agent systems, including formation control, air traffic control, rendezvous, foraging, role assignment, and cooperative search. On this basis and combined with linear system theory, it introduces readers to the cooperative tracking problem for identical continuous-time multi-agent systems under state-coupled dynamics; the cooperative output regulation for heterogeneous multi-agent systems; and the optimal output regulation for model-free multi-agent systems. In closing, the results are extended to multiple leaders, and cooperative containment control for uncertain multi-agent systems is addressed. Given its scope, the book offers an essential reference guide for researchers and designers of multi-agent systems, as well as a valuable resource for upper-level undergraduate and graduate students.

Reliable Control and Filtering of Linear Systems with Adaptive Mechanisms

Author : Guang-Hong Yang,Dan Ye
Publisher : CRC Press
Page : 264 pages
File Size : 54,8 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9781439835234

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Reliable Control and Filtering of Linear Systems with Adaptive Mechanisms by Guang-Hong Yang,Dan Ye Pdf

More and more, the advanced technological systems of today rely on sophisticated control systems designed to assure greater levels of safe operation while optimizing performance. Rather than assuming always perfect conditions, these systems require adaptive approaches capable of coping with inevitable system component faults. Conventional feedback control designs do not offer that capability and can result in unsatisfactory performance or even instability, which is totally unacceptable in complex systems such as aircraft, spacecraft, and nuclear power plants where safety is a paramount concern. Reliable Control and Filtering of Linear Systems with Adaptive Mechanisms presents recent research results that are advancing the field. It shows how adaptive mechanisms can be successfully introduced into the traditional reliable control/filtering, so that, based on the online estimation of eventual faults, the proposed adaptive reliable controller/filter parameters are updated automatically to compensate for any fault effects. Presenting a new method for fault-tolerant control (FTC) in the context of existing research, this uniquely cohesive volume, coauthored by two leading researchers — Focuses on the issues of reliable control/filtering in the framework of indirect adaptive method and LMI techniques Starts from the development and main research methods in FTC to offer a systematic presentation of new methods for adaptive reliable control/filtering of linear systems Explains the principles behind adaptive designs for closed-loop systems in normal operation as well as those that account for both actuator and sensor failures Presents rigorous mathematical analysis of control methods as well as easy-to-implement algorithms Includes practical case studies derived from the aerospace industry including simulation results for the F-16 The authors also extend the design idea from linear systems to linear time-delay systems via both memory and memory-less controllers. Moreover, some more recent results for the corresponding adaptive reliable control against actuator saturation are included. Ultimately, this remarkably practical resource, offers design approaches and guidelines that researchers can readily employ in the design of advanced FTC techniques offering improved reliability, maintainability, and survivability.

Saturated Control of Linear Systems

Author : Abdellah Benzaouia,Fouad Mesquine,Mohamed Benhayoun
Publisher : Springer
Page : 226 pages
File Size : 46,7 Mb
Release : 2017-09-20
Category : Technology & Engineering
ISBN : 9783319659909

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Saturated Control of Linear Systems by Abdellah Benzaouia,Fouad Mesquine,Mohamed Benhayoun Pdf

This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including: systems with constraints and perturbations; singular systems with constrained control; systems with unsymmetrical saturations; saturated systems with delay, and 2-D systems with saturations. The solutions obtained are of two types: necessary and sufficient conditions solved with linear programming techniques; and sufficient conditions under LMIs. A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results. Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systems to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.

Linear Systems

Author : Guang-Hong Yang,Xiang-Gui Guo,Wei-Wei Che,Wei Guan
Publisher : CRC Press
Page : 294 pages
File Size : 40,9 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781351831819

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Linear Systems by Guang-Hong Yang,Xiang-Gui Guo,Wei-Wei Che,Wei Guan Pdf

Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices. A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods. More Effective Design Methods for Non-Fragile Controllers and Filters The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.