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本文研究具有参数不确定性的线性系统的鲁棒性控制问题,提出并证明了不确定系统在H∞边界约束下使L2指标最小的充分条件,由此导出H∞/L2综合方法可将参数摄动系统的鲁棒控制器的设计问题转化为其标称系统当干扰强度增大时的鲁棒控制器的设计问题。
In this paper, the robust control of linear systems with parametric uncertainties is investigated. The sufficient and sufficient condition that the uncertainties make the L2 index minimal under H∞ boundary constraints is presented and proved. The H∞ / L2 synthesis method can be used to derive the parameters The design problem of a robust controller for a perturbed system translates into the design problem of a robust controller when its perturbation increases with its nominal system.