不确定多时滞系统H_∞鲁棒控制

H_∞ Robust Control for the Systems with Multi Time Delay and Uncertainty

研究不确定多时滞系统Ｈ∞鲁棒控制策略·通过论证，提出多时滞系统满足Ｈ∞设计指标的充分条件及带不确定性Ｒｉｃｃａｔｉ 不等式具有鲁棒性的充分必要条件·得到了带有不确定性的多时滞系统满足Ｈ∞设计指标的充分又最少保守性的条件·对于给定指标，存在状态反馈控制器，使得闭环系统满足设计指标的充分又最少保守性的条件为Ｒｉｃｃａｔｉ 不等式成立·

Robust H ∞ control strategy and multi time delay systems were developed. Sufficient condition for multi time delay systems to satisfy H ∞ design indices, and a necessary and sufficient condition for a Riccati inequarlity with uncertainties to have robustness were proposed. The least conservative and sufficient condition for multi time delay systems with uncertainties to satisfy H ∞ design indices is found and the feedback gain matrix is presented. For a given index, the least conservative and sufficient condition for the systems is that the Riccati inequality holds if a feedback controller exists.