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In this book, the reader is introduced to a variety of problem statements in classical optimal control, in optimal control problems with non-scalar performance criteria, and in optimal estimation and filtering. The optimal control theory is based on rather basic methods in the calculus of variation, in particular on the Lagrange multiplier methods. The theory is explained in a very transparent way.
Many engineering optimal control problems are solved completely. Each chapter contains a small collection of additional statements of optimal control problems. Their solutions are sketched in the appendix.
List of contents
Optimal Control.- Optimal State Feedback Control.- Differential Games.
Summary
In this book, the reader is introduced to a variety of problem statements in classical optimal control, in optimal control problems with non-scalar performance criteria, and in optimal estimation and filtering. The optimal control theory is based on rather basic methods in the calculus of variation, in particular on the Lagrange multiplier methods. The theory is explained in a very transparent way.
Many engineering optimal control problems are solved completely. Each chapter contains a small collection of additional statements of optimal control problems. Their solutions are sketched in the appendix.
Additional text
From the reviews:"The book is based on the lecture material for a one-semester senior-year undergraduate or first-year graduate course in optimal control given by the author at the Swiss federal Institute of Technology (ETH Zürich) for more than twenty years. … The book contains a variety of optimal control problems, many of which completely solved in details in the body of the text. Additional problems are given as exercises together with a sketch of the solutions." (Riccardo De Arcangelis, Zentralblatt MATH, Vol. 1121 (23), 2007)“This 144-page book offers a concise introduction to optimal control theory and differential games, from the minimum principle (MP) to Hamilton-Jacobi-Bellman (HJB) theory. … The style of the book is simplistic, sacrificing rigor for accessibility, which is appropriate for the intended readership. … This is a good, concise book on optimal control and differential games that can easily be adapted as a textbook for an introductory course on the subject either at the senior undergraduate level or as a first-year graduate-level course.” (Panagiotis Tsiotras, IEEE Control Systems Magazine, Vol. 31, October, 2011)
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From the reviews:
"The book is based on the lecture material for a one-semester senior-year undergraduate or first-year graduate course in optimal control given by the author at the Swiss federal Institute of Technology (ETH Zürich) for more than twenty years. ... The book contains a variety of optimal control problems, many of which completely solved in details in the body of the text. Additional problems are given as exercises together with a sketch of the solutions." (Riccardo De Arcangelis, Zentralblatt MATH, Vol. 1121 (23), 2007)
"This 144-page book offers a concise introduction to optimal control theory and differential games, from the minimum principle (MP) to Hamilton-Jacobi-Bellman (HJB) theory. ... The style of the book is simplistic, sacrificing rigor for accessibility, which is appropriate for the intended readership. ... This is a good, concise book on optimal control and differential games that can easily be adapted as a textbook for an introductory course on the subject either at the senior undergraduate level or as a first-year graduate-level course." (Panagiotis Tsiotras, IEEE Control Systems Magazine, Vol. 31, October, 2011)
