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文章基于线性矩阵不等式和等式方法,研究了静态输出反馈负虚H∞控制器综合问题。首先,给出了静态输出反馈控制器设计的一个充分条件,保证闭环系统同时满足负虚性质和给定的H∞性能指标;其次,给出了控制器设计的另一个充分条件,当选取一类特殊的相似变换矩阵时,证明了这两个充分条件的等价性;最后,通过数值仿真验证了所提出的控制器设计方法的有效性。
Based on the linear matrix inequality and the equation method, the paper studies the synthesis of static output feedback negative virtual H∞controller. First, a sufficient condition for the design of a static output feedback controller is given to ensure that the closed-loop system satisfies both the negative virtual property and the given H∞ performance index. Secondly, another sufficient condition for the controller design is given. When one Class special similarity transformation matrix, the equivalence of these two sufficient conditions is proved. Finally, the effectiveness of the proposed controller design method is verified by numerical simulation.