Description: Optimal Trajectory Tracking of Nonlinear Dynamical Systems by Jakob Löber 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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. Table of Contents Introduction.- Exactly Realizable Trajectories.- Optimal Control.- Analytical Approximations for Optimal Trajectory Tracking.- Control of Reaction-Diusion System. Feature Nominated as an outstanding PhD thesis by the Technical University of Berlin, Germany Offers a clear and self-contained presentation Introduces mathematical concepts with the help of representative examples from physics and chemistry Details ISBN3319835432 Series Springer Theses ISBN-10 3319835432 ISBN-13 9783319835433 Format Paperback DEWEY 515.39 Pages 243 Publisher Springer International Publishing AG Year 2018 Publication Date 2018-07-07 Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Language English UK Release Date 2018-07-07 Edited by Luv Kohli Birth 1974 Affiliation Massachusetts Institute of Technology Position journalist Qualifications S. J. Author Jakob Löber Edition Description Softcover reprint of the original 1st ed. 2017 Alternative 9783319465739 Audience Professional & Vocational Illustrations 32 Illustrations, color; 4 Illustrations, black and white; XIV, 243 p. 36 illus., 32 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:131032034;
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ISBN-13: 9783319835433
Book Title: Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Number of Pages: 243 Pages
Language: English
Publication Name: Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Publisher: Springer International Publishing Ag
Publication Year: 2018
Subject: Mathematics, Physics
Item Height: 235 mm
Item Weight: 403 g
Type: Textbook
Author: Jakob Loeber
Subject Area: Mechanical Engineering
Item Width: 155 mm
Format: Paperback