回転軸の疲労を考慮した2慣性系の臨界制御系設計(機械力学,計測,自動制御)

抄録

A control system design for two-inertia resonant systems where a shaft is subjected to torsion is proposed. On the basis of elementary knowledge in strength of materials, we derive an inequality condition for avoiding metal fatigue of the shaft. To satisfy the derived condition as well as other design specifications, a feedback controller is designed using the LMI-based H_2 synthesis on the basis of the critical control concept. An illustrative design example shows that the amount of torsion in the shaft remains within the acceptable level at which fatigue could be negligible.