A KIND OF OBSERVER-BASED ACTIVE DISTURBANCE REJECTION CONTROL METHOD FOR THE STABILIZATION OF A CLASS OF TIMOSHENKO BEAMS

In this paper, we study boundary feedback stabilization for a Timoshenko beam with external disturbances in the boundary inputs. We use a class of hybrid observers to estimate disturbances without high gain. Based on the idea of active disturbance rejection control, we design a kind of feedback law to compensate for the total disturbances. Based on the semigroup theories, we prove the existence of solutions and the global exponential stability of the closed-loop system. A numerical example is given to illustrate the efficiency of our strategy.