Discrete Control Systems

Discrete Control Systems

Author: Yoshifumi Okuyama

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 259

ISBN-13: 1447156676

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Discrete Control Systems establishes a basis for the analysis and design of discretized/quantized control systems for continuous physical systems. Beginning with the necessary mathematical foundations and system-model descriptions, the text moves on to derive a robust stability condition. To keep a practical perspective on the uncertain physical systems considered, most of the methods treated are carried out in the frequency domain. As part of the design procedure, modified Nyquist–Hall and Nichols diagrams are presented and discretized proportional–integral–derivative control schemes are reconsidered. Schemes for model-reference feedback and discrete-type observers are proposed. Although single-loop feedback systems form the core of the text, some consideration is given to multiple loops and nonlinearities. The robust control performance and stability of interval systems (with multiple uncertainties) are outlined. Finally, the monograph describes the relationship between feedback-control and discrete event systems. The nonlinear phenomena associated with practically important event-driven systems are elucidated. The dynamics and stability of finite-state and discrete-event systems are defined. Academic researchers interested in the uses of discrete modelling and control of continuous systems will find Discrete Control Systems instructive. The inclusion of end-of-chapter problems also makes the book suitable for use in self study either by professional control engineers or graduate students supplementing a more formal regimen of learning.


Discrete-Time Control System Design with Applications

Discrete-Time Control System Design with Applications

Author: C.A. Rabbath

Publisher: Springer Science & Business Media

Published: 2013-12-02

Total Pages: 181

ISBN-13: 1461492904

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This unique book provides a bridge between digital control theory and vehicle guidance and control practice. It presents practical techniques of digital redesign and direct discrete-time design suitable for a real-time implementation of controllers and guidance laws at multiple rates and with and computational techniques. The theory of digital control is given as theorems, lemmas, and propositions. The design of the digital guidance and control systems is illustrated by means of step-by-step procedures, algorithms, and case studies. The systems proposed are applied to realistic models of unmanned systems and missiles, and digital implementation.


Continuous and Discrete Control Systems

Continuous and Discrete Control Systems

Author: John Dorsey

Publisher:

Published: 2002

Total Pages: 727

ISBN-13: 9780072483086

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CD-ROM contains: MATLAB m-files -- Discussions and examples of MATLAB commands relevant to each chapter -- Test data for 3 case studies.


Discrete-time Control Systems

Discrete-time Control Systems

Author: Katsuhiko Ogata

Publisher:

Published: 1995

Total Pages: 745

ISBN-13: 9780133286427

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A comprehensive treatment of the analysis and design of discrete-time control systems which provides a gradual development of the theory by emphasizing basic concepts and avoiding highly mathematical arguments. The text features comprehensive treatment of pole placement, state observer design, and quadratic optimal control.


Formal Methods for Discrete-Time Dynamical Systems

Formal Methods for Discrete-Time Dynamical Systems

Author: Calin Belta

Publisher: Springer

Published: 2017-03-08

Total Pages: 291

ISBN-13: 331950763X

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This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.


Control and System Theory of Discrete-Time Stochastic Systems

Control and System Theory of Discrete-Time Stochastic Systems

Author: Jan H. van Schuppen

Publisher: Springer Nature

Published: 2021-08-02

Total Pages: 940

ISBN-13: 3030669521

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This book helps students, researchers, and practicing engineers to understand the theoretical framework of control and system theory for discrete-time stochastic systems so that they can then apply its principles to their own stochastic control systems and to the solution of control, filtering, and realization problems for such systems. Applications of the theory in the book include the control of ships, shock absorbers, traffic and communications networks, and power systems with fluctuating power flows. The focus of the book is a stochastic control system defined for a spectrum of probability distributions including Bernoulli, finite, Poisson, beta, gamma, and Gaussian distributions. The concepts of observability and controllability of a stochastic control system are defined and characterized. Each output process considered is, with respect to conditions, represented by a stochastic system called a stochastic realization. The existence of a control law is related to stochastic controllability while the existence of a filter system is related to stochastic observability. Stochastic control with partial observations is based on the existence of a stochastic realization of the filtration of the observed process.​


Modeling and Control of Discrete-event Dynamic Systems

Modeling and Control of Discrete-event Dynamic Systems

Author: Branislav Hrúz

Publisher: Springer Science & Business Media

Published: 2007-08-17

Total Pages: 342

ISBN-13: 1846288770

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Discrete-event dynamic systems (DEDs) permeate our world. They are of great importance in modern manufacturing processes, transportation and various forms of computer and communications networking. This book begins with the mathematical basics required for the study of DEDs and moves on to present various tools used in their modeling and control. Industrial examples illustrate the concepts and methods discussed, making this book an invaluable aid for students embarking on further courses in control, manufacturing engineering or computer studies.


Supervisory Control of Discrete-Event Systems

Supervisory Control of Discrete-Event Systems

Author: W. Murray Wonham

Publisher: Springer

Published: 2018-08-17

Total Pages: 504

ISBN-13: 3319774522

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This book shows how supervisory control theory (SCT) supports the formulation of various control problems of standard types, like the synthesis of controlled dynamic invariants by state feedback, and the resolution of such problems in terms of naturally definable control-theoretic concepts and properties, like reachability, controllability and observability. It exploits a simple, abstract model of controlled discrete-event systems (DES) that has proved to be tractable, appealing to control specialists, and expressive of a range of control-theoretic ideas. It allows readers to choose between automaton-based and dually language-based forms of SCT, depending on whether their preference is for an internal-structural or external-behavioral description of the problem. The monograph begins with two chapters on algebraic and linguistic preliminaries and the fundamental concepts and results of SCT are introduced. To handle complexity caused by system scale, architectural approaches—the horizontal modularity of decentralized and distributed supervision and the vertical modularity of hierarchical supervision—are introduced. Supervisory control under partial observation and state-based supervisory control are also addressed; in the latter, a vector DES model that exploits internal regularity of algebraic structure is proposed. Finally SCT is generalized to deal with timed DES by incorporating temporal features in addition to logical ones. Researchers and graduate students working with the control of discrete-event systems or who are interested in the development of supervisory control methods will find this book an invaluable aid in their studies. The text will also be of assistance to researchers in manufacturing, logistics, communications and transportation, areas which provide plentiful examples of the class of systems being discussed.


Relay Control Systems

Relay Control Systems

Author: I︠A︡kov Zalmanovich T︠S︡ypkin

Publisher: CUP Archive

Published: 1984-11-08

Total Pages: 552

ISBN-13: 9780521243902

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Relay control systems are widely employed in a variety of technological domains because they are simpler and, in many cases, have better dynamic properties than other types of control system. The aim of this book is to present a theory of relay control systems that is based on the concepts of transfer functions and frequency and time characteristics. While giving an account of the general properties of relay control systems, the author devotes ample space to the analysis and computation of concrete examples. Although the reader is assumed to be acquainted with Fourier series and operational calculus, the appendices contain some background mathematics to make the book as self-contained as possible.