Nonlinear Controllability And Optimal Control PDF Download
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Author | : H.J. Sussmann |
Publisher | : Routledge |
Total Pages | : 489 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351428330 |
Download Nonlinear Controllability and Optimal Control Book in PDF, ePub and Kindle
This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines .
Author | : Sussmann |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : Electronic books |
ISBN | : 9780203745625 |
Download Nonlinear Controllability and Optimal Control Book in PDF, ePub and Kindle
"This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines ."--Provided by publisher.
Author | : Thomas L. Vincent |
Publisher | : John Wiley & Sons |
Total Pages | : 584 |
Release | : 1997-06-23 |
Genre | : Science |
ISBN | : 9780471042358 |
Download Nonlinear and Optimal Control Systems Book in PDF, ePub and Kindle
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 | : Sussmann |
Publisher | : Routledge |
Total Pages | : 690 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351428322 |
Download Nonlinear Controllability and Optimal Control Book in PDF, ePub and Kindle
This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines .
Author | : Leonid T. Aschepkov |
Publisher | : Springer |
Total Pages | : 211 |
Release | : 2017-01-11 |
Genre | : Mathematics |
ISBN | : 3319497812 |
Download Optimal Control Book in PDF, ePub and Kindle
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.
Author | : Ying Yang (Ph. D.) |
Publisher | : |
Total Pages | : 156 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Controllability of Switched Linear Systems and the Optimal Control of Nonlinear Systems Book in PDF, ePub and Kindle
Author | : Jakob Löber |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2016-12-20 |
Genre | : Science |
ISBN | : 3319465740 |
Download Optimal Trajectory Tracking of Nonlinear Dynamical Systems Book in PDF, ePub and Kindle
By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.
Author | : Liqun Qi |
Publisher | : Springer Science & Business Media |
Total Pages | : 587 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 0387242554 |
Download Optimization and Control with Applications Book in PDF, ePub and Kindle
A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.
Author | : Gerasimos Rigatos |
Publisher | : Cambridge Scholars Publishing |
Total Pages | : 741 |
Release | : 2020-11-19 |
Genre | : Technology & Engineering |
ISBN | : 1527562468 |
Download Advances in Applied Nonlinear Optimal Control Book in PDF, ePub and Kindle
This volume discusses advances in applied nonlinear optimal control, comprising both theoretical analysis of the developed control methods and case studies about their use in robotics, mechatronics, electric power generation, power electronics, micro-electronics, biological systems, biomedical systems, financial systems and industrial production processes. The advantages of the nonlinear optimal control approaches which are developed here are that, by applying approximate linearization of the controlled systems’ state-space description, one can avoid the elaborated state variables transformations (diffeomorphisms) which are required by global linearization-based control methods. The book also applies the control input directly to the power unit of the controlled systems and not on an equivalent linearized description, thus avoiding the inverse transformations met in global linearization-based control methods and the potential appearance of singularity problems. The method adopted here also retains the known advantages of optimal control, that is, the best trade-off between accurate tracking of reference setpoints and moderate variations of the control inputs. The book’s findings on nonlinear optimal control are a substantial contribution to the areas of nonlinear control and complex dynamical systems, and will find use in several research and engineering disciplines and in practical applications.
Author | : Alberto Isidori |
Publisher | : Springer Science & Business Media |
Total Pages | : 644 |
Release | : 2000-11-17 |
Genre | : Technology & Engineering |
ISBN | : 9781852333645 |
Download Nonlinear Control in the Year 2000 Book in PDF, ePub and Kindle
Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.