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Springer Theses

Optimal Trajectory Tracking of Nonlinear Dynamical Systems

Authors: Löber, Jakob

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  • 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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  • ISBN 978-3-319-46574-6
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Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-46573-9
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  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
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  • ISBN 978-3-319-83543-3
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  • Usually dispatched within 3 to 5 business days.
About this book

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 (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-46574-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-46573-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-319-83543-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Authors
Series Title
Springer Theses
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
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
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIV, 243
Number of Illustrations
4 b/w illustrations, 32 illustrations in colour
Topics