Gjerrit Meinsma,Arjan van der Schaft
A Course on Optimal Control
A Course on Optimal Control
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This text is an introduction to optimal control for finite-dimensional deterministic dynamical systems, with a focus on the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. It includes examples, exercises, illustrations, and applications and is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering.
Format: Hardback
Length: 276 pages
Publication date: 25 November 2023
Publisher: Springer International Publishing AG
This comprehensive text offers a thorough and self-contained exploration of the fundamental principles of optimal control for finite-dimensional deterministic dynamical systems. Skillfully crafted to guide students through the development of this subject, the book presents a rich array of examples, exercises, illustrations, and applications to enhance comprehension of the material. Solutions to odd-numbered exercises are provided, while a complete set of solutions is available to instructors who adopt the text for their courses. The book is adaptable to coursework for final-year undergraduates in (applied) mathematics or beginning graduate students in engineering. A prerequisite mathematical background includes calculus, linear algebra, a basic understanding of differential equations, as well as a rudimentary familiarity with control systems.
The book originated from lecture notes that underwent extensive testing, adaptation, and expansion over numerous years of teaching. Chapters 1 to 4 constitute the material for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 offers brief glimpses into various selected topics related to optimal control, designed to pique the readers' interest. A summary of some mathematical background is provided in Appendix A for convenient review. Appendix B serves as a refresher on differential equations, including a detailed treatment of Lyapunov stability theory, which is occasionally employed in Chapters 3 and 4.
Weight: 743g
Dimension: 254 x 178 (mm)
ISBN-13: 9783031366543
Edition number: 1st ed. 2023
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