Non-fragile sampled-data control for uncertain fractional-order systems with time-varying delay

The aim of this paper is to investigate a novel fractional order integral inequality (FOII) for reducing the conservatism of the stability and the non-fragile sampled-data control (NFSDC) criterion for the uncertain fractional-order systems (FOSs) with time-varying delay (TVD). Firstly, in order to estimate the quadratic derivative of fractional-order integral more accurately, a new FOII with free weighting matrix is proposed, which has a tighter upper bound than the existing FOII. Second, in order to more accurately reflect the delay variation and reduce the data transmission frequency, the influence of uncertainty and time-varying delay are considered, the NFSDC scheme followed by the discussed stability criterion is given based on our novel piecewise Lyapunov functional and introduced FOII. Finally, three numerical examples demonstrate the feasibility and superiority of the proposed method.