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Optimal Control Theory. An Introduction by Donald E. Kirk

Optimal Control Theory. An Introduction Donald E. Kirk ebook
Format: pdf
ISBN: 0486434842, 9780486434841
Page: 472
Publisher: Dover Publications

Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. It will continue with the essential and more advanced techniques based on Functional Analysis and the Calculus of Variations, including an introduction to the finite element method to compute solutions. Design of controllers using state-space methods, including pole placement and optimal control methods. And I am very interested in the . In the time optimal problem, the terminal time T is not given and we should get it with optimal control theories. Limitations on performance of control systems from classical and state-space perspectives. Theoretical results Mathematical modelling, linear first order transport, d'Alembert's formula, reflection of waves, energy, separation of variables, Fourier series, Sturm-Liouville theory. The previous lesson we learn the introduction of the optimal control theory. Introduction to the Kalman filter. Applications: Applications: traffic dynamics, optimal control problems. This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects.