LAUSR

In this paper, a composite antidisturbance control scheme based on L1$$ {L}_1 $$ robust disturbance interval observer (RDIO) is proposed for a class of nonlinear systems with multiple disturbances. Considering the disturbance with uncertainties in asymmetry bounds, different from the existing composite antidisturbance scheme, here a L1$$ {L}_1 $$ RDIO is designed utilizing the uncertainty information to obtain the possible interval of real disturbance, and the disturbance effect is suppressed by compressing the interval for robust performance. The comparison of estimation accuracy of L1$$ {L}_1 $$ RDIO with traditional disturbance observer (DO) is given in theoretical analysis. Furthermore, algorithms for solving the L1$$ {L}_1 $$ RDIO parameters are provided for generalized and specific situations. Based on L1$$ {L}_1 $$ RDIO and integral sliding mode control (ISMC), a composite integral sliding mode controller with disturbance compensation and attenuation ability is proposed to realize the high‐precision stabilization. Finally, the effectiveness and superiority of the proposed control scheme are verified by numerical simulation and the application to the motor rotation tracking with hardware‐in‐loop (HIL) experiment.