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Optimal Control: Linear Quadratic Methods (Dover Books on Engineering)
85% of respondents would recommend this to a friend
HKD 178
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This augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems.
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- This augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems. It explores linear optimal control theory from an engineering viewpoint, with step-by-step explanations that show clearly how to make practical use of the material.The three-part treatment begins with the basic theory of the linear regulator/tracker for time-invariant and time-varying systems. The Hamilton-Jacobi equation is introduced using the Principle of Optimality, and the infinite-time problem is considered. The second part outlines the engineering properties of the regulator. Topics include degree of stability, phase and gain margin, tolerance of time delay, effect of nonlinearities, asymptotic properties, and various sensitivity problems. The third section explores state estimation and robust controller design using state-estimate feedback. Numerous examples emphasize the issues related to consistent and accurate system design. Key topics include loop-recovery techniques, frequency shaping, and controller reduction, for both scalar and multivariable systems. Self-contained appendixes cover matrix theory, linear systems, the Pontryagin minimum principle, Lyapunov stability, and the Riccati equation. Newly added to this Dover edition is a complete solutions manual for the problems appearing at the conclusion of each section.
| Publisher | Dover Publications |
| Publication date | February 27, 2007 |
| Edition | 91.12 |
| Language | English |
| Print length | 464 pages |
| ISBN-10 | 9780486457666 |
| Item Weight | 1.26 pounds (570 grams) |
| Dimensions | 6 x 1 x 9 inches (15.2 x 2.5 x 22.9 cm) |
Who Should Buy?
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Engineering Students
Ideal for engineering students focusing on control theory and optimization in their studies or research.
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Practicing Engineers
Great for practicing engineers needing practical applications of linear quadratic methods in design and analysis.
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Research Professionals
Beneficial to researchers in control systems looking for foundational and advanced techniques in optimal control.
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Casual Readers
Not suitable for casual readers without a technical background in mathematics or engineering principles.
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Robotics & Automation Editorial Review
**** "Optimal Control: Linear Quadratic Methods," authored by a prominent figure in control theory, Anderson, is widely acknowledged as a classic text within the field. However, customer experiences vary significantly, particularly regarding the book's accessibility and usability for self-learners. It serves as an excellent reference material for those already familiar with the subject, especially at the graduate level, making it a valuable resource for PhD students focusing on areas like astrodynamics and formation flying. Despite its reputation, the book is often criticized for its challenging readability. Reviewers noted that the text might not be suitable for newcomers to optimal control due to its complex presentation and outdated notation, which might confuse modern-day readers. The mathematics is described as lacking rigor, and there are concerns regarding the clarity of explanations and the logical flow of concepts presented within the chapters. Several users recommend finding alternative texts that present advanced Linear Quadratic Regulator (LQR) concepts more clearly, suggesting they may offer a better learning experience. Overall, while "Optimal Control: Linear Quadratic Methods" is respected as a reference work, its practical application for self-study appears limited, and many recommend it primarily for those with prior knowledge in optimal control principles. **
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Pros
- Excellent as a reference book for advanced LQR control.
- Authored by a well-respected researcher in the field.
- Useful for those with background knowledge in control theory.
Cons
- Difficult to read and navigate, particularly for newcomers.
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Features & Benefits
- Learn effective linear quadratic Gaussian methods for control system design.
- Step-by-step explanations tailored for practical applications.
- In-depth exploration of linear optimal control theory from an engineering perspective.
- Covers important engineering properties such as stability and sensitivity problems.
- Includes numerous examples and a complete solutions manual for practice.
- Self-contained appendixes provide essential mathematical background.
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