What is Optimal Control Theory and why is it important?

Optimal Control Theory is a mathematical optimization approach used to find a control policy for dynamic systems. It is vital because it allows engineers and scientists to design systems that maximize performance while minimizing costs and risks. By understanding this theory, readers can apply these concepts to fields such as robotics, aerospace, and economics, leading to improved automated systems and decision-making.

Who is the author of Optimal Control Theory: An Introduction?

The book is authored by Donald E. Kirk, a renowned expert in control theory with decades of experience in the field. His contributions have significantly advanced the understanding of optimal control, making this book a crucial resource for both students and professionals. Kirk’s expertise ensures that the concepts are presented clearly, combining theory with practical applications.

What topics are covered in the book Optimal Control Theory?

The book covers a range of topics, including the fundamental principles of optimal control, dynamic programming, the calculus of variations, and numerical methods for control problems. Each chapter introduces theoretical concepts, supported by examples and exercises to strengthen understanding. This well-rounded approach makes it an excellent foundation for anyone looking to delve into advanced control systems.

Is this book suitable for beginners in control theory?

Yes, the book is designed to be accessible for beginners yet comprehensive enough for more advanced readers. It starts with basic principles and gradually introduces more complex concepts. This makes it an ideal starting point for students in engineering or applied mathematics, as well as professionals seeking to refresh their knowledge or gain a deeper understanding of optimal control.

Are there practical applications of optimal control discussed in this book?

Absolutely! The book provides numerous real-world applications of optimal control in various fields such as aerospace, automotive engineering, and finance. These case studies illustrate how theoretical concepts are applied to solve practical problems, helping readers to visualize the impact of optimal control theory in technology and industry.

What makes the illustrated edition special?

The illustrated edition enhances the learning experience by incorporating diagrams, graphs, and visual aids to clarify complex concepts. Visual representation helps readers grasp intricate mathematical ideas more effectively, facilitating a deeper understanding of optimal control applications. This is particularly beneficial for visual learners and anyone who prefers a more interactive approach to studying.

Can this book help with advanced control system design?

Yes, this book serves as an excellent resource for advanced control system design. It explores sophisticated concepts such as state-space representation and Lyapunov stability, which are essential for designing robust control systems. Readers engaged in research or professional applications will find valuable insights that can be directly applied to their work.

What type of readers would benefit most from this book?

The book is beneficial for a diverse audience, including undergraduate and graduate students in engineering fields, practicing engineers, and researchers in control theory. It is a valuable resource for anyone looking to deepen their understanding of optimal control mechanisms and their applications across various industries.

Are there exercises or problems included in the book?

Yes, the book features a series of exercises and problems at the end of each chapter. These are designed to reinforce learning and provide practical experience in applying the concepts covered. Solving these problems encourages critical thinking and helps readers gain confidence in their abilities to tackle real-world optimal control challenges.

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Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering)

Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes.

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Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering)

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Comprehensive Coverage

This illustrated edition provides an exhaustive introduction to optimal control theory, making complex concepts accessible for students and professionals alike, enhancing understanding in electrical engineering applications.

Clear Illustrations

Informative illustrations complement the text, aiding visual learners in grasping intricate ideas, ensuring that technical aspects are clearly represented and easier to comprehend.

Dover Quality

As part of the reputable Dover Books series, this edition promises reliable content at an affordable price, making high-quality educational resources accessible to a wider audience.

Détails du produit

Introduces optimal control theory for maximizing returns and minimizing costs of physical, social, and economic processes
Geared toward upper-level undergraduates
Covers dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization
Chapters 1 and 2 focus on describing systems and evaluating their performances
Chapters 3 to 6 cover dynamic programming, calculus of variations, Pontryagin's minimum principle, and iterative numerical techniques
Includes numerous problems to illustrate basic concepts and introduce additional topics

Publisher	Dover Publications
Publication date	April 30, 2004
Edition	Illustrated
Language	English
Print length	480 pages
ISBN-10	048632432X
ISBN-13	978-0486434841
Item Weight	10.4 ounces (294.84 grams)
Dimensions	5.4 x 1 x 8.3 inches (13.7 x 2.5 x 21.1 cm)
Part of series	Dover Books on Electrical Engineering

À qui est-ce destiné ?

Engineering Students
Ideal for undergraduate or graduate students specializing in electrical or control engineering looking to grasp optimal control concepts.
Professionals in Robotics
Robotics engineers will benefit from applying optimal control methods to enhance the performance of automated systems.
Researchers in Mathematics
Useful for researchers focused on the mathematical foundations of control theory seeking detailed and illustrated explanations.

Beginners in Control
Not suitable for complete beginners lacking prior knowledge in control systems and mathematical concepts.

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Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering)

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Electronics Editorial Review

Optimal Control Theory: An Introduction is a highly recommended book for anyone interested in control theory. The author has done an exceptional job of writing in a lucid but complete fashion, making the book easily understandable. Unlike other books on the subject, this one is written in a language that doesn't require a deep understanding of advanced mathematics. It serves as an excellent introduction to optimal control for those with a background in math, including vector and matrix calculus. The book provides a practical approach to problem-solving and offers a very nice presentation of the subject matter. It is enjoyable to read and easy to follow, with concise and to-the-point descriptions. Readers are assumed to have some background knowledge of modern control theory, but the author does a great job of connecting control theory with the calculus of variations. Overall, Optimal Control Theory: An Introduction is a classic and highly recommended book for beginners in control theory. It offers a comprehensive understanding of the subject while being approachable and practical.

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Avantages

Highly recommended for beginners in control theory
Lucid and easily understandable writing style
Practical approach to problem-solving
Nice presentation of the subject matter
Enjoyable to read and easy to follow

Les inconvénients

Assumes some background knowledge in modern control theory

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Caractéristiques et avantages

Introductory text on optimal control theory
Covers dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization
Geared towards upper-level undergraduates
Includes numerous problems to illustrate concepts
Suitable for systems in various fields - physical, social, and economic

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Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering)

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