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In this paper, we propose a new design method of a second-order plus dead-time (SOPDT) sampled-data ProportionalIntegral-Derivative (PID) control system, where the continuous-time plant is controlled using the discrete-time controller. The proposed control system is designed so that the tracking performance is optimized subject to the stability margin constraint. In the present study, the servo and regulation optimal controllers are designed. Finally, the effectiveness of the proposed method is demonstrated through numerical examples.

Tracking/Robust Trade-off Design of a Sampled-data PID Controller for Second-order Plus Dead-time Systems