Optimal Control Systems

Author : D. Subbaram Naidu
Publisher : CRC Press
Page : 236 pages
File Size : 53,9 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781351830317

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Optimal Control Systems by D. Subbaram Naidu Pdf

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control. Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes. Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.

Author : D. Subbaram Naidu
Publisher : CRC Press
Page : 464 pages
File Size : 51,5 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781482292299

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Optimal Control Systems by D. Subbaram Naidu Pdf

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control. Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes. Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.

Author : Thomas L. Vincent,Walter J. Grantham
Publisher : John Wiley & Sons
Page : 584 pages
File Size : 44,5 Mb
Release : 1997-06-23
Category : Science
ISBN : 0471042358

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Nonlinear and Optimal Control Systems by Thomas L. Vincent,Walter J. Grantham Pdf

Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.

Author : William S. Widnall
Publisher : MIT Press (MA)
Page : 232 pages
File Size : 55,6 Mb
Release : 1968
Category : Computers
ISBN : UOM:39015002040163

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Applications of Optimal Control Theory to Computer Controller Design by William S. Widnall Pdf

Author : B.M. Mohan,S.K. Kar
Publisher : CRC Press
Page : 250 pages
File Size : 55,8 Mb
Release : 2012-10-24
Category : Technology & Engineering
ISBN : 9781466517295

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Continuous Time Dynamical Systems by B.M. Mohan,S.K. Kar Pdf

Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomials State estimation of linear time-invariant systems Linear optimal control systems incorporating observers Optimal control of systems described by integro-differential equations Linear-quadratic-Gaussian control Optimal control of singular systems Optimal control of time-delay systems with and without reverse time terms Optimal control of second-order nonlinear systems Hierarchical control of linear time-invariant and time-varying systems

Author : Huibert Kwakernaak,Raphel Sivan
Publisher : Wiley-Interscience
Page : 630 pages
File Size : 49,5 Mb
Release : 1972-11-10
Category : Science
ISBN : UOM:39076006349141

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Linear Optimal Control Systems by Huibert Kwakernaak,Raphel Sivan Pdf

"This book attempts to reconcile modern linear control theory with classical control theory. One of the major concerns of this text is to present design methods, employing modern techniques, for obtaining control systems that stand up to the requirements that have been so well developed in the classical expositions of control theory. Therefore, among other things, an entire chapter is devoted to a description of the analysis of control systems, mostly following the classical lines of thought. In the later chapters of the book, in which modern synthesis methods are developed, the chapter on analysis is recurrently referred to. Furthermore, special attention is paid to subjects that are standard in classical control theory but are frequently overlooked in modern treatments, such as nonzero set point control systems, tracking systems, and control systems that have to cope with constant disturbances. Also, heavy emphasis is placed upon the stochastic nature of control problems because the stochastic aspects are so essential." --Preface.

Author : Xungjing Li,Jiongmin Yong
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242604

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Optimal Control Theory for Infinite Dimensional Systems by Xungjing Li,Jiongmin Yong Pdf

Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.

Author : Tongwen Chen,Bruce A. Francis
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447130376

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Optimal Sampled-Data Control Systems by Tongwen Chen,Bruce A. Francis Pdf

Among the many techniques for designing linear multivariable analogue controllers, the two most popular optimal ones are H2 and H-infinity optimization. The fact that most new industrial controllers are digital provides strong motivation for adapting or extending these techniques to digital control systems. This book, now available as a corrected reprint, attempts to do so. Part I presents two indirect methods of sampled-data controller design: These approaches include approximations to a real problem, which involves an analogue plant, continuous-time performance specifications, and a sampled-data controller. Part II proposes a direct attack in the continuous-time domain, where sampled-data systems are time-varying. The findings are presented in forms that can readily be programmed in, e.g., MATLAB.

Author : Donald E. Kirk
Publisher : Courier Corporation
Page : 466 pages
File Size : 51,8 Mb
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 9780486135076

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Optimal Control Theory by Donald E. Kirk Pdf

Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.

Author : Edgar N. Sanchez,Fernando Ornelas-Tellez
Publisher : CRC Press
Page : 268 pages
File Size : 42,7 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781466580886

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Discrete-Time Inverse Optimal Control for Nonlinear Systems by Edgar N. Sanchez,Fernando Ornelas-Tellez Pdf

Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller. Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances. Learn from Simulations and an In-Depth Case Study The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels. The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

Author : Frank L. Lewis,Draguna Vrabie,Vassilis L. Syrmos
Publisher : John Wiley & Sons
Page : 552 pages
File Size : 43,9 Mb
Release : 2012-02-01
Category : Technology & Engineering
ISBN : 9780470633496

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Optimal Control by Frank L. Lewis,Draguna Vrabie,Vassilis L. Syrmos Pdf

A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control

Author : A. A. Fel'dbaum
Publisher : Unknown
Page : 0 pages
File Size : 54,5 Mb
Release : 1965
Category : Adaptive control systems
ISBN : OCLC:1024580086

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Optimal Control Systems by A. A. Fel'dbaum Pdf

Author : Michael Athans,Peter L. Falb
Publisher : Courier Corporation
Page : 900 pages
File Size : 55,7 Mb
Release : 2013-04-26
Category : Technology & Engineering
ISBN : 9780486318189

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Optimal Control by Michael Athans,Peter L. Falb Pdf

Geared toward advanced undergraduate and graduate engineering students, this text introduces the theory and applications of optimal control. It serves as a bridge to the technical literature, enabling students to evaluate the implications of theoretical control work, and to judge the merits of papers on the subject. Rather than presenting an exhaustive treatise, Optimal Control offers a detailed introduction that fosters careful thinking and disciplined intuition. It develops the basic mathematical background, with a coherent formulation of the control problem and discussions of the necessary conditions for optimality based on the maximum principle of Pontryagin. In-depth examinations cover applications of the theory to minimum time, minimum fuel, and to quadratic criteria problems. The structure, properties, and engineering realizations of several optimal feedback control systems also receive attention. Special features include numerous specific problems, carried through to engineering realization in block diagram form. The text treats almost all current examples of control problems that permit analytic solutions, and its unified approach makes frequent use of geometric ideas to encourage students' intuition.

Author : Hans P. Geering
Publisher : Springer Science & Business Media
Page : 141 pages
File Size : 41,6 Mb
Release : 2007-03-23
Category : Technology & Engineering
ISBN : 9783540694380

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Optimal Control with Engineering Applications by Hans P. Geering Pdf

This book introduces a variety of problem statements in classical optimal control, in optimal estimation and filtering, and in optimal control problems with non-scalar-valued performance criteria. Many example problems are solved completely in the body of the text. All chapter-end exercises are sketched in the appendix. The theoretical part of the book is based on the calculus of variations, so the exposition is very transparent and requires little mathematical rigor.

Author : A. L. Dontchev
Publisher : Springer
Page : 168 pages
File Size : 41,9 Mb
Release : 1983
Category : Language Arts & Disciplines
ISBN : UCAL:B4405873

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Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems by A. L. Dontchev Pdf