Observer-based State Estimation of Conformable Fractional Systems, for various Nonlinearities

Numerous research studies have focused on addressing the observer synthesis query in systems with integer-order dynamics. However, there has been comparatively less emphasis on investigating the wider class of Fractional systems, characterized by a derivative order which belongs to the interval [0;1]. Furthermore, only very few research works have focused on addressing the observer design issue using the concept of conformable fractional derivatives. This paper extends a specific type of observers, originally designed for systems with integer-order nonlinear dynamics, including Lipschitz and One-Sided Lipschitz (OSL) nonlinearities, to the realm of FO calculus, employing the conformable derivative definition. The efficacy of the pro-posed findings is demonstrated by means of simulations in a numerical example.