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Optimal trajectory tracking of nonli...

Lober, Jakob.

Optimal trajectory tracking of nonlinear dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal trajectory tracking of nonlinear dynamical systemsby Jakob Lober.
Author:	Lober, Jakob.
Published:	Cham :Springer International Publishing :2017.
Description:	xiv, 243 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Trajectory optimization.
Online resource:	http://dx.doi.org/10.1007/978-3-319-46574-6
ISBN:	9783319465746$q(electronic bk.)

Optimal trajectory tracking of nonlinear dynamical systems
Lober, Jakob.

Optimal trajectory tracking of nonlinear dynamical systems[electronic resource] /by Jakob Lober. - Cham :Springer International Publishing :2017. - xiv, 243 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diﬀusion System.

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.

ISBN: 9783319465746$q(electronic bk.)

Standard No.: 10.1007/978-3-319-46574-6doiSubjects--Topical Terms:

679527
Trajectory optimization.

LC Class. No.: TL1075

Dewey Class. No.: 531.55

Optimal trajectory tracking of nonlinear dynamical systems
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100 1 $a Lober, Jakob. $3 772423
245 1 0 $a Optimal trajectory tracking of nonlinear dynamical systems $h [electronic resource] / $c by Jakob Lober.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiv, 243 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diﬀusion System.
520 $a 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.
650 0 $a Trajectory optimization. $3 679527
650 0 $a Nonlinear systems. $3 182906
650 1 4 $a Physics. $3 179414
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 760027
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
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830 0 $a Springer theses. $3 557607
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-46574-6
950 $a Physics and Astronomy (Springer-11651)