
The paper deals with an algorithm, formed from the synthesis of a control system based on a backstepping algorithm and an auxiliary loop algorithm, for the compensation of mismatched disturbances depending on the unknown varying time-delay. The proposed algorithm guarantees the stabilization of the plant with the required accuracy. We also compare the proposed algorithm with the backstepping algorithm and the auxiliary loop algorithm. The simulation results illustrate the efficiency and robustness of the suggested control system.
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