- 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
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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.
- Inhaltsverzeichnis (5 Kapitel)
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Introduction
Seiten 1-16
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Exactly Realizable Trajectories
Seiten 17-78
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Optimal Control
Seiten 79-118
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Analytical Approximations for Optimal Trajectory Tracking
Seiten 119-193
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Control of Reaction-Diffusion Systems
Seiten 195-220
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Inhaltsverzeichnis (5 Kapitel)
- Download Probeseiten 2 PDF (979.4 KB)
- Download Inhaltsverzeichnis PDF (134.8 KB)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Optimal Trajectory Tracking of Nonlinear Dynamical Systems
- Autoren
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- Jakob Löber
- Titel der Buchreihe
- Springer Theses
- Copyright
- 2017
- Verlag
- Springer International Publishing
- Copyright Inhaber
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-46574-6
- DOI
- 10.1007/978-3-319-46574-6
- Hardcover ISBN
- 978-3-319-46573-9
- Softcover ISBN
- 978-3-319-83543-3
- Buchreihen ISSN
- 2190-5053
- Auflage
- 1
- Seitenzahl
- XIV, 243
- Anzahl der Bilder
- 4 schwarz-weiß Abbildungen, 32 Abbildungen in Farbe
- Themen
