Bounded real lemmas for fractional order systems

On bounded real lemma for fractional systems

Two state space “like” representation based methods for fractional systems L2-gain computation are proposed in this paper. The first is based on an approach already presented in the literature and leads to a new theorem. The theorem is based on the location of the eigenvalues of a matrix issued from the state space “like” representation and is then converted using Riccati theory into an LMI con...

Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances

In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...

Fractional-Order Iterative Learning Control for Fractional-Order Linear Systems

In this paper, we discuss in time domain the convergence of the iterative process for fractional-order systems. Fractional order iterative learning updating schemes are considered. The convergent conditions of the fractional-order and integer-order iterative learning schemes are proved to be equivalent. It is shown in Matlab/Simulink results that the tracking speed is the fastest when the syste...

Distributed-order fractional diffusions on bounded domains

Bounded solutions for fuzzy integral equations of fractional order