A novel finite-time terminal observer of a fractional-order chaotic system with chaos entanglement function

This paper has extensively investigated a new fractional-order chaotic system based on a chaos entanglement function. The rich dynamics of the system are observed by various tools such as equilibrium point stability, Lyapunov exponents, bifurcation diagram, and limit cycles. The unexplored hidden multistability is discovered by changing the derivative order and system parameter values. We have also derived a new finite-time terminal observer to estimate the state variables of the fractional-order system whose convergence time solely depends on considered parameters. Simulations are realized to confirm the theoretical results.