LAUSR

This work is concerned with the problem of actuator fault detection for the class of linear and nonlinear fractional-order systems with differentiable time-varying delays using quantized measurement. Our observation is focused on the modelling of non-fragile fault detection controller which is constructed by using an adaptive fault estimation algorithm to ensure asymptotic stability of the considered system with suggested $$H_\infty $$ H ∞ performance. By considering suitable Lyapunov–Krasovskii functional and using some fractional-order calculus properties for resolvability of labelled problem are derived in terms of linear matrix inequalities. Finally, the simulation studies are included to demonstrate the validity of proposed control design.