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H_∞设计中奇异问题的处理
Method for treating singular problems in H_∞design
【摘要】 以 S/KS问题为例分析了奇异问题的几种处理方法。指出权函数中有虚轴极点时可采用摄动的方法来处理,若对象中有虚轴极点则不能用这种摄动法。采用 LMI法虽然可直接处理奇异问题,但需另外设法控制靠近虚轴的极点。处理奇异问题的有效办法是扩展H∞控制,但是增加了求解问题的复杂度。
【Abstract】 Several approaches to dealing with singular H. problems in S/KS design is discussed in this paper. It is pointed out that the s perturbation method can be used if there exist jω poles in the weighting function. But this perturbation method can not be used when these jω poles are in the plant. Although the LMI method can be direct used in the singular problems, it still needs some additional treatment to control the closed-loop poles near the jω - axis. The extended H. control is an effective method to deal with the singular H∞ problem, but it increases the complexity of the solving procedure.
【Key words】 singular problem; εperturbation; linear matrix inequality; extended H∞ control;
- 【文献出处】 电机与控制学报 ,Electric Machines and Control , 编辑部邮箱 ,2000年03期
- 【分类号】TP202
- 【被引频次】10
- 【下载频次】212