With a focus on the aero-engine distributed control system with parameter perturbation and external disturbance

a robust adaptive sliding mode controller was designed under the condition of time-varying input delay and unknown disturbance upper bound. Firstly

based on the theory of predictive control and matrix singular value

an equivalent linear transformation was conducted for the original aero-engine discrete distributed control system

and a normal form model was obtained

making it easier to solve the sliding mode surface parameters. Secondly

with a given H∞ performance index

the sufficient condition for the asymptotical stability of sliding mode motion was deduced considering the influence of mismatched uncertainties. The sliding mode surface design method in linear matrix inequality (LMI) form was thus obtained. Finally

the adaptive law with disturbance estimation function was designed

and the adaptive sliding mode controller was proposed accordingly. Simulation results show that the proposed controller could reduce the impact of external disturbance on the systems dynamic performance effectively. Under the function of the considered uncertain factors

the systems sliding mode motion presented ideal H∞ performance. When the external disturbance intensity changed

the controller exhibited better robustness. The state convergence time was shorter than 0.8s

and there was no chattering phenomenon.