This paper deals with recursive continuous-time system identification using fractional-order models. Long-memory prediction error method is proposed for estimation of all parameters When differentiation orders are assumed known, least squares and methods, being direct extensions to models the classic methods used integer-order models, compared our new method, long-memory method. Given property ...

We introduce a formulation for the time-optimal control problems of systems displaying fractional dynamics in the sense of the Riemann-Liouville fractional derivatives operator. To propose a solution to the general time-optimal problem, a rational approximation based on the Hankel data matrix of the impulse response is considered to emulate the behavior of the fractional differentiation operato...

Analysis of analog filter of fractional order is the main objective of this paper. The basics of fractance device are studied. Rational approximation of fractional order operator using continued fraction expansion is carried out. Analytical expressions of the differentiator operator for different input signals have been developed and simulated in MATLAB software and corresponding simulation res...