In the past few years, nonlinear control systems have experienced a growing popularity and these developments are motivated by extensive applications, in particular, to such area as mechanical systems, aircraft flight control systems, and electrical systems. A number of new ideas, approaches, and results have appeared in the field of nonlinear control systems. Here in this book, Mathematical Modelling, Controllability, Observability and Stability Analysis of an Artificial Satellite problem have been done. Which may be highly helpful to Graduates to understand the aspects control theory in a very simple way. I hope this will help the readers to learn a lot of things related to control theory with an approach to applications.