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摘要: 对一类不确定性不满足匹配条件的线性系统, 研究了圆域极点指标、H∞指标和H2指标约束下的满意容错控制器的设计问题. 在连续型的执行器故障的模式下, 利用线性矩阵不等式技术, 提出了多目标容错控制性能的相容性判别条件, 分析了与圆域极点指标相容的H∞指标和H2指标的取值范围, 并在相容指标约束下给出了有效的满意容错控制器的设计方法. 对歼击机纵向通道控制系统的仿真结果表明, 本文提出的方法是有效的.Abstract: For a class of uncertain linear systems with uncertainties which do not meet the match conditions, the problem of satisfactory fault-tolerant control is studied with circle pole index, H∞ index, and H2 index constraints. Under a continuous fault model of the actuator, the consistency conditions of multi-objective fault-tolerant performance are set up by linear matrix inequality approach, and the range constraint indices are analyzed. Furthermore, the effective controller design method for systems with constrains of consistent indices is presented. Simulations for longitude control of an aircraft indicate the validity of the proposed method.
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