Suppression of Disturbances in Closed-loop Active Magnetic Bearing System with Time-varying Delay Based on H_∞ State Feedback Control

抄録

This paper is devoted to H_∞ state feedback control for closed-loop active magnetic bearing (AMB) system with delays. To suppress disturbances in the system, state-space model of closed-loop AMB system including outside disturbances and delays is established for stability analysis and controller design. The delays of all components are defined as a bounded time-varying function. Then Wirtinger inequality and convex inequality are used to deal with the integral term caused by delays. Through a separating technique technique, the constraint relationship between the controller gain, system matrices and the Lyapunov variables is eliminated. Based on these strategies, new sufficient conditions for the stability of closed-loop AMB system with delays and disturbances are formulated in the framework of linear matrix inequalities. Finally, the effectiveness of the proposed H_∞ state feedback controller is validated on a closed-loop AMB system.