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Advances in Applied Nonlinear Optimal Control

Advances in Applied Nonlinear Optimal Control
Author: Gerasimos Rigatos
Publisher: Cambridge Scholars Publishing
Total Pages: 741
Release: 2020-11-19
Genre: Technology & Engineering
ISBN: 1527562468

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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.


Nonlinear and Optimal Control Systems

Nonlinear and Optimal Control Systems
Author: Thomas L. Vincent
Publisher: John Wiley & Sons
Total Pages: 584
Release: 1997-06-23
Genre: Science
ISBN: 9780471042358

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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.


Nonlinear Optimal Control Theory

Nonlinear Optimal Control Theory
Author: Leonard David Berkovitz
Publisher: CRC Press
Total Pages: 394
Release: 2012-08-25
Genre: Mathematics
ISBN: 1466560266

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Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniques in diverse areas. Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.


Advances in Applied Nonlinear Dynamics, Vibration and Control -2021

Advances in Applied Nonlinear Dynamics, Vibration and Control -2021
Author: Xingjian Jing
Publisher: Springer Nature
Total Pages: 1210
Release: 2021-09-23
Genre: Technology & Engineering
ISBN: 9811659125

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This book is to provide readers with up-to-date advances in applied and interdisciplinary engineering science and technologies related to nonlinear dynamics, vibration, control, robotics, and their engineering applications, developed in the most recent years. All the contributed chapters come from active scholars in the area, which cover advanced theory & methods, innovative technologies, benchmark experimental validations and engineering practices. Readers would benefit from this state-of-the-art collection of applied nonlinear dynamics, in-depth vibration engineering theory, cutting-edge control methods and technologies, and definitely find stimulating ideas for their on-going R&D work. This book is intended for graduate students, research staff and scholars in academics, and also provides useful hand-up guidance for professional and engineers in practical engineering missions.


Optimal Control of Nonlinear Processes

Optimal Control of Nonlinear Processes
Author: Dieter Grass
Publisher: Springer Science & Business Media
Total Pages: 552
Release: 2008-07-24
Genre: Business & Economics
ISBN: 3540776478

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Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.


Nonlinear Optimal Control Theory

Nonlinear Optimal Control Theory
Author: Leonard David Berkovitz
Publisher: CRC Press
Total Pages: 392
Release: 2012-08-25
Genre: Mathematics
ISBN: 1466560274

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Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniqu


Primer on Optimal Control Theory

Primer on Optimal Control Theory
Author: Jason L. Speyer
Publisher: SIAM
Total Pages: 316
Release: 2010-05-13
Genre: Mathematics
ISBN: 0898716942

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A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.


Nonlinear Controllability and Optimal Control

Nonlinear Controllability and Optimal Control
Author: H.J. Sussmann
Publisher: Routledge
Total Pages: 489
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351428330

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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 .