Hong-Gi Lee
Linearization of Nonlinear Control Systems
Linearization of Nonlinear Control Systems
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This textbook covers differential geometry basics needed for linearization of nonlinear control systems, with MATLAB programs and end-of-chapter problems for understanding and self-study.
Format: Hardback
Length: 589 pages
Publication date: 03 September 2022
Publisher: Springer Verlag, Singapore
This comprehensive textbook is designed to assist graduate-level students in gaining a deep understanding of the linearization of nonlinear control systems. Differential geometry plays a crucial role in unraveling the complexities of control nonlinear systems, and this book offers a clear and concise introduction to the fundamentals of differential geometry required for linearization. Instead of delving into the realm of manifolds, which can be daunting for students unfamiliar with differential geometry, the book focuses on explaining the necessary concepts on the Euclidean space. This approach ensures that students can grasp the linearization principles with ease, regardless of their prior background in the field.
Moreover, the book provides a wealth of Lie algebra formulas, which are frequently employed in linearization, along with comprehensive proofs. However, it is worth noting that the calculation of vector fields using Lie brackets by hand can be challenging, requiring a significant amount of concentration and time. To address this, the book includes MATLAB programs for most of the theorems, making it easier for students to apply and verify the concepts.
In addition to theoretical explanations, the book includes end-of-chapter problems and other pedagogical aids to facilitate understanding and self-study. These resources help students reinforce their knowledge and apply the linearization techniques to real-world scenarios. By offering a comprehensive and accessible approach, this textbook empowers graduate-level students to excel in the study of nonlinear control systems and prepares them for advanced research and professional applications in the field.
Weight: 1063g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811936425
Edition number: 1st ed. 2022
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