Active disturbance rejection control to stabilization for Timoshenko beam with tip mass subject to boundary control matched disturbance. (Chinese. English summary) Zbl 1438.93195
Summary: In this paper, we are concerned with the stabilization for Timoshenko beam model with boundary disturbance. An active disturbance rejection control (ADRC) approach is adopted in the investigation. It is shown that the disturbance can be estimated in real time through an extended state observer (ESO) and be canceled in the feedback loop. The closed-loop system with constant high gain is shown to be practically stable by the Lyapunov approach.
MSC:
93D21 | Adaptive or robust stabilization |
74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
93C20 | Control/observation systems governed by partial differential equations |