Discrete-time Control Systems

Discrete-time Control Systems PDF

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.

Discrete-Time Control System Design with Applications

Discrete-Time Control System Design with Applications PDF

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.

Formal Methods for Discrete-Time Dynamical Systems

Formal Methods for Discrete-Time Dynamical Systems PDF

Author: Calin Belta

Publisher: Springer

Published: 2017-03-08

Total Pages: 284

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.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering PDF

Author: Lixian Zhang

Publisher: Springer

Published: 2016-01-19

Total Pages: 258

ISBN-13: 3319288504

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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.

Advanced Discrete-Time Control

Advanced Discrete-Time Control PDF

Author: Khalid Abidi

Publisher: Springer

Published: 2015-03-25

Total Pages: 232

ISBN-13: 981287478X

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This book covers a wide spectrum of systems such as linear and nonlinear multivariable systems as well as control problems such as disturbance, uncertainty and time-delays. The purpose of this book is to provide researchers and practitioners a manual for the design and application of advanced discrete-time controllers. The book presents six different control approaches depending on the type of system and control problem. The first and second approaches are based on Sliding Mode control (SMC) theory and are intended for linear systems with exogenous disturbances. The third and fourth approaches are based on adaptive control theory and are aimed at linear/nonlinear systems with periodically varying parametric uncertainty or systems with input delay. The fifth approach is based on Iterative learning control (ILC) theory and is aimed at uncertain linear/nonlinear systems with repeatable tasks and the final approach is based on fuzzy logic control (FLC) and is intended for highly uncertain systems with heuristic control knowledge. Detailed numerical examples are provided in each chapter to illustrate the design procedure for each control method. A number of practical control applications are also presented to show the problem solving process and effectiveness with the advanced discrete-time control approaches introduced in this book.

Discrete-time Control Systems

Discrete-time Control Systems PDF

Author: Katsuhiko Ogata

Publisher: Pearson

Published: 1995

Total Pages: 784

ISBN-13:

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"In-depth discussions of selected topics (such as Z transform, and pole placement when the control signal was a vector quantity) have been moved to optional Appendices. discusses in detail the theoretical background for designing control systems. offers a greatly expanded treatment of the pole placement design with minimum-order observer by means of state space approach (Ch. 6) and polynomial equations approach (Ch. 7). features a new chapter on the polynomial equations approach to the control systems design as an alternative to the design of control systems via pole placement with minimum-order observers. Includes the design of model matching control systems. emphasizes the usefulness of MATLAB for studying discrete-time control systems showing how to use MATLAB optimally to obtain numerical solutions that involve various types of vector-matrix operations, plotting response curves, and system design based on quadratic optimal control. presents many instructive examples and worked-out problems throughout the entire book."--

Discrete-time Stochastic Systems

Discrete-time Stochastic Systems PDF

Author: Torsten Söderström

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 387

ISBN-13: 1447101014

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This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.

Control and System Theory of Discrete-Time Stochastic Systems

Control and System Theory of Discrete-Time Stochastic Systems PDF

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.​

Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems

Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems PDF

Author: Ülle Kotta

Publisher: Springer

Published: 2006-01-21

Total Pages: 159

ISBN-13: 3540393765

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The purpose of this book is twofold: To survey control system design methods based on the system inversion technique and to collect into one place the many recent results in the field. It has been known for some time that inverse systems may be used to solve numerous control problems. Despite the importance and conceptual simplicity of this topic there appears to be no monograph written on it. The purpose of this work is therefore to present and apply a systematic design method which bases itself on the fundamental system property of invertibility. Many different theoretical and practical aspects are considered in this volume working from elementary topics in the first section to current research in the second.