Susumu Hara and Kazuo Yoshida
For the positioning control of flexible structures, it is important to reduce residual vibration after the positioning is completed. If a positioning controller and a vibration controller are designed independently and abrupt switching is performed from the former to the latter, the moving structure suffers from impact, and additional vibration is caused. This paper presents a method for simultaneously synthesizing both motion and vibration controllers, using a time-varying criterion function for optimal control. This method is applied to the positioning control of a flexible structure. The usefulness of the method is verified theoretically and experimentally.
Keywords: Positioning, Vibration control, Optimal control, Flexible structure, Residual vibration, Time-varying criterion function