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

Volume 5, Issue 1

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

Cornelius Ogabi¹, Babatunde Idowu², Abiola Ogungbe³, Eugene Onori⁴, Olufunmilayo Ometan⁵, and Aghogho Ogwala⁶
¹Lagos State University, Ojo Lagos, Nigeria, ²Lagos State University, Ojo , Nigeria, ³Lagos State University, Ojo, Nigeria, ⁴Lagos State University, Ojo, Nigeria, ⁵Lagos State University, Ojo, Nigeria, and ⁶Lagos State University, Ojo, Nigeria
DOI:10.36108/jrrslasu/8102/50(0112)

Abstract

We present Eulerâs 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

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