Application of Limited Pole-Placement Method to State Feedback System

Digital control systems often have delay factors for practical use. Although these delays are assumed to be sufficiently small, in many cases, they should not be ignored because calculation delays occur in at least one sampling period. Such delays in the digital control system make the control system vibrational. If the servo bandwidth is widened, a delay makes the system unstable. Thus, the author proposes a limited pole-placement method to make the system less vibrational and to analyze the limit of the servo bandwidth arising from the delay. In this study, the LPP method is applied to a state feedback system. A simulated example of a two-mass resonant system is shown.