Some New Methods For Optimal Control Of Constrained Dynamical Systems
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Author | : John Edward Hurtado |
Publisher | : |
Total Pages | : 240 |
Release | : 1995 |
Genre | : |
ISBN | : |
Download Some New Methods for Optimal Control of Constrained Dynamical Systems Book in PDF, Epub and Kindle
Author | : Felix L. Chernous'ko |
Publisher | : Springer Science & Business Media |
Total Pages | : 398 |
Release | : 2008-09-26 |
Genre | : Technology & Engineering |
ISBN | : 3540707840 |
Download Control of Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories. Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piecewise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.
Author | : Francesco Borrelli |
Publisher | : Springer |
Total Pages | : 206 |
Release | : 2014-03-12 |
Genre | : Mathematics |
ISBN | : 9783662182758 |
Download Constrained Optimal Control of Linear and Hybrid Systems Book in PDF, Epub and Kindle
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.
Author | : Kok Lay Teo |
Publisher | : Springer Nature |
Total Pages | : 581 |
Release | : 2021-05-24 |
Genre | : Mathematics |
ISBN | : 3030699137 |
Download Applied and Computational Optimal Control Book in PDF, Epub and Kindle
The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control.
Author | : C. T. Leondes |
Publisher | : Elsevier |
Total Pages | : 533 |
Release | : 2014-11-30 |
Genre | : Technology & Engineering |
ISBN | : 1483191214 |
Download Control and Dynamic Systems Book in PDF, Epub and Kindle
Control and Dynamic Systems: Advances in Theory and Applications, Volume 9 brings together diverse information on important progress in the field of control and systems theory and applications. This volume is comprised of contributions from leading researchers in the field. Topics covered include optimal observer techniques for linear discrete time systems; application of sensitivity constrained optimal control to national economic policy formulation; and modified quasilinearization method for mathematical programming problems and optimal control problems. Dynamic decision theory and techniques and closed loop formulations of optimal control problems for minimum sensitivity are also elaborated. Engineers and scientists in applied physics will find the book interesting.
Author | : Felix L. Chernous'ko |
Publisher | : Springer |
Total Pages | : 396 |
Release | : 2009-08-29 |
Genre | : Technology & Engineering |
ISBN | : 9783540866954 |
Download Control of Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories. Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piecewise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.
Author | : Bulirsch |
Publisher | : Birkhäuser |
Total Pages | : 352 |
Release | : 2013-03-08 |
Genre | : Science |
ISBN | : 3034875398 |
Download Optimal Control Book in PDF, Epub and Kindle
"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.
Author | : Maurizio Falcone |
Publisher | : Springer |
Total Pages | : 275 |
Release | : 2019-01-26 |
Genre | : Science |
ISBN | : 3030019594 |
Download Numerical Methods for Optimal Control Problems Book in PDF, Epub and Kindle
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
Author | : Rush D. Robinett III |
Publisher | : SIAM |
Total Pages | : 273 |
Release | : 2005-07-01 |
Genre | : Mathematics |
ISBN | : 0898715865 |
Download Applied Dynamic Programming for Optimization of Dynamical Systems Book in PDF, Epub and Kindle
This book presents a range of dynamic programming (DP) techniques applied to the optimization of dynamical systems.
Author | : George Leitmann |
Publisher | : CRC Press |
Total Pages | : 232 |
Release | : 1999-08-19 |
Genre | : Technology & Engineering |
ISBN | : 9789056991722 |
Download Dynamics and Control Book in PDF, Epub and Kindle
This multi-authored volume presents selected papers from the Eighth Workshop on Dynamics and Control. Many of the papers represent significant advances in this area of research, and cover the development of control methods, including the control of dynamical systems subject to mixed constraints on both the control and state variables, and the development of a control design method for flexible manipulators with mismatched uncertainties. Advances in dynamic systems are presented, particularly in game-theoretic approaches and also the applications of dynamic systems methodology to social and environmental problems, for example, the concept of virtual biospheres in modeling climate change in terms of dynamical systems.