Linearization of Nonlinear Control Systems

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. 

1 Introduction.- 2 Basic Mathematics for Linearization.- 3 Linearization by State Transformation.- 4 Feedback Linearization.- 5 Linearization with Output Equation.- 6 Dynamic Feedback Linearization.- 7 Linearization of Discrete-time Systems.- 8 Observer Error Linearization.- 9 Input-output Decoupling.

Hong-Gi Lee received the B.S. and M.S. degrees in Department of Electronics Engineering from Seoul National University, in 1981 and 1983, respectively. He received the Ph.D. degree in Department of Electrical and Computer Engineering from The University of Texas at Austin, in 1986. He was an assistant professor in Department of Electrical and Computer Engineering at Louisiana State University from 1986 to 1989. He is currently a professor at the Department of Electrical and Electronics Engineering, Chung-Ang University, Seoul, Korea. His research interests include nonlinear control, genetic algorithm, and robotics.