Stabilization of linear systems with model uncertainty and external disturbance via UDE-based control method

The stabilization problem of the linear system with both uncertainty and external disturbance is studied. Firstly, a suitable filter is designed for the unbounded external disturbance which exponentially increases with respect to time. Secondly, some uncertainty and disturbance estimator (UDE)-based controllers are presented to realize the stabilization of such system. Finally, the correctness and effectiveness of the obtained results are verified by two illustrative examples with numerical simulation.