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摘要: 研究一类线性系统在有界静态输出反馈下的区域极点配置问题, 给出了问题可解的双线性矩阵不等式(Bilinear matrix inequality, BMI)条件. 利用摄动线性化方法给出了求解期望输出反馈的迭代线性矩阵不等式(Linear matrix inequality, LMI)算法, 并用算例说明了所提算法的有效性.Abstract: Regional pole assignment is studied for a class of linear systems via bounded static output-feedback. The solvability of the problem is formulated via an optimization problem subject to a set of bilinear matrix inequalitis (BMIs). Then, based on perturbation linearization of the BMIs, an iterative linear matrix inequality (LMI) algorithm is proposed to search for the satisfactory output feedback. The effectiveness of the provided algorithm is finally illustrated by two numerical examples.
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