Euler’s Equations of Rigid Body: Its Control and Synchronization using Active Control and Recursive Backstepping methods.

Abstract

We present Euler’s Equation of Rigid Body, its control and synchronization using active control and recursive backstepping methods. Based on Lyapunov stability theory, control laws are derived to synchronize the chaotic system and also to control to a steady state as well as track to a desired function via recursive backstepping methods. Numerical simulation are shown to verify the results.