Download or read book Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 written by A Astolfi and published by Elsevier. This book was released on 2003-10-07 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods

Download or read book Lagrangian and Hamiltonian Methods for Nonlinear Control written by and published by . This book was released on 2004 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lagrangian and Hamiltonian Methods for Nonlinear Control written by and published by . This book was released on 2003 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lagrangian and Hamiltonian Methods For Nonlinear Control 2006 written by Francesco Bullo and published by Springer. This book was released on 2009-09-02 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lagrangian and Hamiltonian Methods for Nonlinear Control 2000 written by N.E. Leonard and published by Pergamon. This book was released on 2000-10-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings contains the papers presented at the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, held at Princeton University, USA in March 2000. The workshop featured presentations and in-depth discussions of recent theoretical and practical developments in Lagrangian and Hamiltonian approaches to nonlinear control. New technologies have created engineering problems where successful controller designs must account for nonlinear effects, yet existing theory for general nonlinear systems often proves insufficient. This workshop focused on recent research that gives modeling a central role and focuses on structure that can be exploited in controller design. The research presented covered a diverse set of application areas.

Download or read book Lagrangian and Hamiltonian Methods For Nonlinear Control 2006 written by Francesco Bullo and published by Springer. This book was released on 2007-10-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lagrangian and Hamiltonian Methods For Nonlinear Control 2006 written by Francesco Bullo and published by Springer Verlag. This book was released on 2007-10-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book 2nd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control written by International Federation of Automatic Control and published by . This book was released on 2003 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Third Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control written by and published by . This book was released on 2006 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear H Infinity Control Hamiltonian Systems and Hamilton Jacobi Equations written by M.D.S. Aliyu and published by CRC Press. This book was released on 2017-12-19 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H∞-control, nonlinear H∞ -filtering, mixed H2/ H∞-nonlinear control and filtering, nonlinear H∞-almost-disturbance-decoupling, and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter. Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the H∞-control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography. Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.

Download or read book L2 Gain and Passivity Techniques in Nonlinear Control written by Arjan van der Schaft and published by Springer. This book was released on 2016-12-04 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L2-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization. · L2-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find: · updated and extended coverage of dissipative systems theory · substantial new material regarding converse passivity theorems and incremental/shifted passivity · coverage of recent developments on networks of passive systems with examples · a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics · updated treatment of all-pass factorization of nonlinear systems The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas.

Download or read book 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control written by IFAC Workshop and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control 2012 LHMNLC 2012 written by and published by . This book was released on 2012 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer Science & Business Media. This book was released on 2007-09-27 with total page 501 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.

Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer Science & Business Media. This book was released on 2008-02-03 with total page 498 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.

Download or read book Handbook of Variational Methods for Nonlinear Geometric Data written by Philipp Grohs and published by Springer Nature. This book was released on 2020-04-03 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers different, current research directions in the context of variational methods for non-linear geometric data. Each chapter is authored by leading experts in the respective discipline and provides an introduction, an overview and a description of the current state of the art. Non-linear geometric data arises in various applications in science and engineering. Examples of nonlinear data spaces are diverse and include, for instance, nonlinear spaces of matrices, spaces of curves, shapes as well as manifolds of probability measures. Applications can be found in biology, medicine, product engineering, geography and computer vision for instance. Variational methods on the other hand have evolved to being amongst the most powerful tools for applied mathematics. They involve techniques from various branches of mathematics such as statistics, modeling, optimization, numerical mathematics and analysis. The vast majority of research on variational methods, however, is focused on data in linear spaces. Variational methods for non-linear data is currently an emerging research topic. As a result, and since such methods involve various branches of mathematics, there is a plethora of different, recent approaches dealing with different aspects of variational methods for nonlinear geometric data. Research results are rather scattered and appear in journals of different mathematical communities. The main purpose of the book is to account for that by providing, for the first time, a comprehensive collection of different research directions and existing approaches in this context. It is organized in a way that leading researchers from the different fields provide an introductory overview of recent research directions in their respective discipline. As such, the book is a unique reference work for both newcomers in the field of variational methods for non-linear geometric data, as well as for established experts that aim at to exploit new research directions or collaborations. Chapter 9 of this book is available open access under a CC BY 4.0 license at link.springer.com.

Download or read book Max Plus Methods for Nonlinear Control and Estimation written by William M. McEneaney and published by Springer Science & Business Media. This book was released on 2006 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.