TY  - BOOK
AU  - Löber,Jakob
ED  - SpringerLink (Online service)
TI  - Optimal Trajectory Tracking of Nonlinear Dynamical Systems
T2  - Springer Theses, Recognizing Outstanding Ph.D. Research,
SN  - 9783319465746
AV  - QC174.7-175.36 
U1  - 621 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Statistical physics
KW  - Calculus of variations
KW  - Vibration
KW  - Dynamical systems
KW  - Dynamics
KW  - Ergodic theory
KW  - Applications of Nonlinear Dynamics and Chaos Theory
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Vibration, Dynamical Systems, Control
KW  - Dynamical Systems and Ergodic Theory
N1  - Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diffusion System; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-46574-6
ER  -