Dynamics and Control of Trajectory Tubes
Theory and Computation
Authors: Kurzhanski, Alexander B., Varaiya, Pravin
Free Preview- Addresses significant control-theoretical problems, with emphasis on feedback control
- Indicates the appropriate mathematical theory for these problems in terms of set-valued functions (trajectory tubes)
- Discusses computational schemes that provide complete solutions to the problems and yield software tools that are applicable to systems of high dimension
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- About this book
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This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.
- Table of contents (11 chapters)
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Linear Control Systems
Pages 1-46
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The Dynamic Programming Approach
Pages 47-86
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Ellipsoidal Techniques: Reachability and Control Synthesis
Pages 87-145
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Solution Examples on Ellipsoidal Methods: Computation in High Dimensions
Pages 147-196
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The Comparison Principle: Nonlinearity and Nonconvexity
Pages 197-251
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Dynamics and Control of Trajectory Tubes
- Book Subtitle
- Theory and Computation
- Authors
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- Alexander B. Kurzhanski
- Pravin Varaiya
- Series Title
- Systems & Control: Foundations & Applications
- Series Volume
- 85
- Copyright
- 2014
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-10277-1
- DOI
- 10.1007/978-3-319-10277-1
- Hardcover ISBN
- 978-3-319-10276-4
- Softcover ISBN
- 978-3-319-36356-1
- Series ISSN
- 2324-9749
- Edition Number
- 1
- Number of Pages
- XVIII, 445
- Number of Illustrations
- 32 b/w illustrations, 74 illustrations in colour
- Topics
