Nondissipative controllers design of a rotating flexible structure subject to boundary control matched disturbances

• Published in: Chinese Control Conference pp. 1350 - 1355
• Main Authors: Wang, Jun-Min, Kang, Lingnan, Guo, Ya-Ping
• Format: Conference Proceeding Journal Article
• Language: English
• Published: TCCT 01.07.2016
• Subjects: ADRC; Angular velocity; Asymptotic stability; Boundary control; Closed loop systems; Controllers; Design engineering; Disks; Disturbance; Disturbances; Estimates; Flexible structures; Nondissipative control; Observers; Rotating flexible structure; Stability analysis; Uncertainty
• ISSN: 1934-1768
• DOI: 10.1109/ChiCC.2016.7553277

In this paper, applying the active disturbance rejection control (ADRC) method, we are concerned with nondissipative controllers design of a rotating flexible structure subject to boundary control matched disturbances. Firstly, the time varying gain extend state observers (ESOs) are constructed to estimate the disturbances. Then, using estimates of uncertainties generated by ESOs, nondissipative torque control and shear control are designed for disk and beam respectively. Finally, when the angular velocity of the disk is less than the square root of the smallest natural frequency of the beam, we prove that such controllers can ensure stability of the closed-loop system. It means that the disk can be rotated with the desired angular velocity and the beam can be stabilized. Moreover, simulation results are presented to illustrate the effectiveness of the control strategy.