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On The Optimal Control Of Mechanical Systems
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Book Synopsis Optimal Control Theory for Applications by : David G. Hull
Download or read book Optimal Control Theory for Applications written by David G. Hull and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.
Book Synopsis Optimal Control with Engineering Applications by : Hans P. Geering
Download or read book Optimal Control with Engineering Applications written by Hans P. Geering and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimal Control Theory by : Donald E. Kirk
Download or read book Optimal Control Theory written by Donald E. Kirk and published by Courier Corporation. This book was released on 2012-04-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis PID Trajectory Tracking Control for Mechanical Systems by : Youngjin Choi
Download or read book PID Trajectory Tracking Control for Mechanical Systems written by Youngjin Choi and published by Springer Science & Business Media. This book was released on 2004-01-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though PID control has a long history as much as its life force since Ziegler and Nichols published the empirical tuning rules in 1942, surprisingly, it has never been changed in the structure itself. The strength of PID control lies in the simplicity, lucid meaning, and clear e?ect. Though it must be a widely - cepted controller for mechanical control systems, it is still short of theoretical bases,e.g., optimality, performance tuning rules, automatic performance t- ing method, and output feedback PID control have not been clearly presented formechanicalcontrolsystems.Thesesubjectswillbethoroughlydiscussedin this book. There are many books of PID controller for the purpose of process control, but it is hard to ?nd a book on the characteristics of PID control for mechanical systems. In the ?rst place, when nonlinear optimal control theory is applied to mechanical systems, a class of Hamilton-Jacobi (HJ) equations is derived as a result of optimization. There are two methods to solve a class of HJ eq- tions: a direct method using an approximation and inverse method ?nding the performance index from a class of HJ equations. Also, there are two control methods according to the objective: the set-point regulation control and t- jectory tracking control. The trajectory tracking control is basically di?erent from set-point regulation one in that the desired con?guration, velocity and acceleration pro?les according to time progress are added to the motion of mechanical system. This book is focusing on an inverse optimization method and the trajectory tracking control system.
Book Synopsis Geometric Control of Mechanical Systems by : Francesco Bullo
Download or read book Geometric Control of Mechanical Systems written by Francesco Bullo and published by Springer. This book was released on 2019-06-12 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Book Synopsis Optimal Control in Thermal Engineering by : Viorel Badescu
Download or read book Optimal Control in Thermal Engineering written by Viorel Badescu and published by Springer. This book was released on 2017-03-14 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first major work covering applications in thermal engineering and offering a comprehensive introduction to optimal control theory, which has applications in mechanical engineering, particularly aircraft and missile trajectory optimization. The book is organized in three parts: The first part includes a brief presentation of function optimization and variational calculus, while the second part presents a summary of the optimal control theory. Lastly, the third part describes several applications of optimal control theory in solving various thermal engineering problems. These applications are grouped in four sections: heat transfer and thermal energy storage, solar thermal engineering, heat engines and lubrication.Clearly presented and easy-to-use, it is a valuable resource for thermal engineers and thermal-system designers as well as postgraduate students.
Book Synopsis Optimal Control of Induction Heating Processes by : Edgar Rapoport
Download or read book Optimal Control of Induction Heating Processes written by Edgar Rapoport and published by CRC Press. This book was released on 2006-07-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new approaches to solving optimal control problems in induction heating process applications. Optimal Control of Induction Heating Processes demonstrates how to apply and use new optimization techniques for different types of induction heating installations. Focusing on practical methods for solving real engineering o
Book Synopsis Optimal Control by : Arturo Locatelli
Download or read book Optimal Control written by Arturo Locatelli and published by Springer Science & Business Media. This book was released on 2001-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The style of the book reflects the author’s wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples. . . .In my view the book suits its function and purpose, in that it gives a student a comprehensive coverage of optimal control in an easy-to-read fashion." —Measurement and Control
Book Synopsis Nonholonomic Mechanics and Control by : A.M. Bloch
Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer. This book was released on 2015-11-05 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Book Synopsis Duality System in Applied Mechanics and Optimal Control by : Wan-Xie Zhong
Download or read book Duality System in Applied Mechanics and Optimal Control written by Wan-Xie Zhong and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.
Book Synopsis Optimal Control of Mechanical Oscillations by : Agnessa Kovaleva
Download or read book Optimal Control of Mechanical Oscillations written by Agnessa Kovaleva and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control possibilities for random disturbances. The main content of the book is based upon assertions of the optimal control theory and the disturbance theory. All theoretical propositions are illustrated by examples with exact mechanical context. An appendix covers the necessary mathematical prerequisites.
Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch
Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Society. This book was released on 2024-03-21 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.
Book Synopsis Optimal Protection from Impact, Shock and Vibration by : Dimitry V Balandin
Download or read book Optimal Protection from Impact, Shock and Vibration written by Dimitry V Balandin and published by CRC Press. This book was released on 2001-03-07 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems that provide protection from impact, shock and vibration are held up by sophisticated physical principles. In this volume, the author explores those principles in a straightforward manner. All aspects of the theory of optimal isolation are presented, from a description of the systems that use these principles to the design of such systems and the limits of the approach. The text offers several examples of how optimal isolation has been applied in real-world situations, thus serving to emphasize and elucidate the explanation of the theory. Optimal Protection From Impact, Shock and Vibration is ideal for applied engineers and mathematicians, whether students or professionals, who need to understand optimal protection.
Book Synopsis Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems by : Michael J. Enos
Download or read book Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems written by Michael J. Enos and published by American Mathematical Soc.. This book was released on 1993 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of papers presented at the Fields Institute workshop, ``The Falling Cat and Related Problems,'' held in March 1992. The theme of the workshop was the application of methods from geometric mechanics and mathematical control theory to problems in the dynamics and control of freely rotating systems of coupled rigid bodies and related nonholonomic mechanical systems. This book will prove useful in providing insight into this new and exciting area of research.
Book Synopsis An Engineering Approach to Optimal Control and Estimation Theory by : George M. Siouris
Download or read book An Engineering Approach to Optimal Control and Estimation Theory written by George M. Siouris and published by Wiley-Interscience. This book was released on 1996-02-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its highly organized overview of all areas, the book examines the design of modern optimal controllers requiring the selection of a performance criterion, demonstrates optimization of linear systems with bounded controls and limited control effort, and considers nonlinearities and their effect on various types of signals.
Download or read book Optimal Control written by Frank L. Lewis and published by John Wiley & Sons. This book was released on 2012-02-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Nonlinear and Optimal Control Systems by : Thomas L. Vincent
Download or read book Nonlinear and Optimal Control Systems written by Thomas L. Vincent and published by John Wiley & Sons. This book was released on 1997-06-23 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
