Granular-based state estimation for nonlinear fractional control systems and its circuit cognitive application

The issue of continuous observer design for integer order nonlinear systems has been widely studied in existing works. Yet, there are few works that closely related to granular computing theory and discrete signal to better estimate system states. In this paper, by using the granular function description, we propose a novel impulsive observer design algorithm to ensure the cognitive convergence of error dynamic systems. Especially, the resulting criterion reflects well the relationship between the fractional order and the pulse signal. A numerical simulation is provided to illustrate effectiveness of the given method.