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Optimal trajectory tracking of nonli...

Lober, Jakob.

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Optimal trajectory tracking of nonlinear dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal trajectory tracking of nonlinear dynamical systems/ by Jakob Lober.
Author:	Lober, Jakob.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xiv, 243 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diﬀusion System.
Contained By:	Springer eBooks
Subject:	Trajectory optimization. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-46574-6
ISBN:	9783319465746

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

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

2059202
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 3219824
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 2059202
650 0 $a Nonlinear systems. $3 686475
650 1 4 $a Physics. $3 516296
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 3134772
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer theses. $3 1314442
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-46574-6
950 $a Physics and Astronomy (Springer-11651)