Linearization of Nonlinear Control Systems
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Beschreibung
This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry, needed in linearization, are explained on the Euclean space instead of the manifold for the students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concetration and time. This book provides the MATLAB programs for most of the theorems.
This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry needed in linearization are explained on the Euclidean space instead of the manifold for students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concentration and time. This book provides MATLAB programs for most of the theorems. The book also includes end-of-chapter problems and other pedagogical aids to help understanding and self study.
Helps students to easily understand the concepts of linearization Contains many examples with MATLAB program Demonstrates many useful Lie algebra formulars with proof
Autor*in
Hong-Gi Lee
Themen in »Linearization of Nonlinear Control Systems«
Linearization Feedback linearization State equivalence Feedback equivalence Input-output decoupling Dynamic feedback linearization Nonlinear observer canonical form
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“The presentation of the book is explicit. Some bases that are not familiar to engineering students are explained in the book. It also provides a number of exercises, and so is suitable as a textbook for graduate students in the area of systems and control.” (Qianqian Xia, Mathematical Reviews, September, 2023)
“The book provides a compendium of linearization techniques for nonlinear control systems together with their thorough mathematical justification and MATLAB implementation. The style of presentation is accessible for both experienced researchers and undergraduate students. … A concise appendix containing basics of topology, fundamentals on manifolds and vector fields, and MATLAB codes for subfunctions completes the monograph.” (Petro Feketa, zbMATH 1505.93001, 2023)()