Physics
Euler’s Equations of Rigid Body: Its Control and Synchronization using Active Control and Recursive Backstepping methods.
Authors: Cornelius O.Ogabi, Babatunde A. Idowu, Abiola S. Ogungbe, Emmanuel O Somoye, Eugene O Onori. Oluwafunmilayo O. Ometan, Rasaq Adeniji-Adele, Aghogho Ogwala.
Affiliations: Department of Physics, Faculty of Science, Lagos State University, Nigeria
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.
Keywords
Euler's Equations
Dynamical systems
Active control
and Recursive Backstepping