Stabilization of Linear Systems With Time Delay and Disturbance: A New State Prediction Approach

In this article, a novel state prediction framework is proposed to address the stabilization problem of linear time-invariant system with input delay and external disturbance. The predicted state is obtained by utilizing the estimates of unknown disturbance and its derivatives, which possesses a higher accuracy than traditional methods, and the predicted disturbance is incorporated into the controller to achieve active disturbance rejection. Furthermore, the application of the proposed predictive scheme is extended to the output feedback system and the input–output delayed system, and the corresponding algorithms are designed. Finally, the advantages of the proposed method are validated by simulations.