Order-dependent sampling control for state estimation of uncertain
fractional-order neural networks system
Abstract
In this paper, the problem of state estimation for a fractional-order
neural networks system with uncertainties is studied by a sampled-data
controller. First, considering the convenience of digital field, such as
anti-interference, not affected by noise, a novel sampled-data
controller is designed for the fractional-order neural network system of
uncertainties with changeable sampling time. In the light of the input
delay approach, the sampled-data control system of fractional-order is
simulated by the delay system. The main purpose of the presented method
is to obtain a sampled-data controller gain K to estimate the
state of neurons, which can guarantee the asymptotic stability of the
closed-loop fractional-order system. Then, the fractional-order
Razumishin theorem and linear matrix inequalities (LMIs) are utilized to
derive the stable conditions. Improved delay-dependent and
order-dependet stability conditions are given in the form of LMIs.
Furthermore, the sampled-data controller can be acquired to promise the
stability and stabilization for fractional-order system. Finally, two
numerical examples are proposed to demonstrate the effectiveness and
advantages of the provided method.