Constrained Control Problems of Discrete Processes

Constrained Control Problems of Discrete Processes
Title Constrained Control Problems of Discrete Processes PDF eBook
Author Ngoc Phat Vu
Publisher World Scientific
Pages 236
Release 1996
Genre Mathematics
ISBN 9789810227876

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The book gives a novel treatment of recent advances on constrained control problems with emphasis on the controllability, reachability of dynamical discrete-time systems. The new proposed approach provides the right setting for the study of qualitative properties of general types of dynamical systems in both discrete-time and continuous-time systems with possible applications to some control engineering models. Most of the material appears for the first time in a book form. The book is addressed to advanced students, postgraduate students and researchers interested in control system theory and optimal control.

Constrained Control and Estimation

Constrained Control and Estimation
Title Constrained Control and Estimation PDF eBook
Author Graham Goodwin
Publisher Springer Science & Business Media
Pages 415
Release 2006-03-30
Genre Technology & Engineering
ISBN 184628063X

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Recent developments in constrained control and estimation have created a need for this comprehensive introduction to the underlying fundamental principles. These advances have significantly broadened the realm of application of constrained control. - Using the principal tools of prediction and optimisation, examples of how to deal with constraints are given, placing emphasis on model predictive control. - New results combine a number of methods in a unique way, enabling you to build on your background in estimation theory, linear control, stability theory and state-space methods. - Companion web site, continually updated by the authors. Easy to read and at the same time containing a high level of technical detail, this self-contained, new approach to methods for constrained control in design will give you a full understanding of the subject.

Constrained Markov Decision Processes

Constrained Markov Decision Processes
Title Constrained Markov Decision Processes PDF eBook
Author Eitan Altman
Publisher Routledge
Pages 256
Release 2021-12-17
Genre Mathematics
ISBN 1351458248

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This book provides a unified approach for the study of constrained Markov decision processes with a finite state space and unbounded costs. Unlike the single controller case considered in many other books, the author considers a single controller with several objectives, such as minimizing delays and loss, probabilities, and maximization of throughputs. It is desirable to design a controller that minimizes one cost objective, subject to inequality constraints on other cost objectives. This framework describes dynamic decision problems arising frequently in many engineering fields. A thorough overview of these applications is presented in the introduction. The book is then divided into three sections that build upon each other.

Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems
Title Constrained Optimal Control of Linear and Hybrid Systems PDF eBook
Author Francesco Borrelli
Publisher Springer
Pages 206
Release 2003-09-04
Genre Mathematics
ISBN 3540362258

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Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.

Control and Optimization with Differential-Algebraic Constraints

Control and Optimization with Differential-Algebraic Constraints
Title Control and Optimization with Differential-Algebraic Constraints PDF eBook
Author Lorenz T. Biegler
Publisher SIAM
Pages 351
Release 2012-11-01
Genre Mathematics
ISBN 1611972248

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A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.

Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition

Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
Title Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition PDF eBook
Author John T. Betts
Publisher SIAM
Pages 748
Release 2020-07-09
Genre Mathematics
ISBN 1611976197

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How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control. It features a summary of relevant material in constrained optimization, including nonlinear programming; discretization techniques appropriate for ordinary differential equations and differential-algebraic equations; and several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy. The third edition has been thoroughly updated and includes new material on implicit Runge–Kutta discretization techniques, new chapters on partial differential equations and delay equations, and more than 70 test problems and open source FORTRAN code for all of the problems. This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.

Differential Equations and Applications, Volume 4

Differential Equations and Applications, Volume 4
Title Differential Equations and Applications, Volume 4 PDF eBook
Author Yeol Je Cho
Publisher Nova Publishers
Pages 184
Release 2007-07-02
Genre Mathematics
ISBN 9781594548765

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The aim of this volume is to introduce new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.