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摘要

reduced order approximation for both continuous and discrete time MIMO systems. A heuristic algorithm is proposed that utilizes necessary and sufficient conditions expressed in terms of a set of LMIs and a matrix rank constraint, and the alternating projection method. Also a method of finding starting points is suggested. Three numerical examples are employed to show the effectiveness of the choice of starting points and the capability of the algorithm to find at least as good approximants as other methods.
机译:连续和离散时间MIMO系统的降阶逼近。提出了一种启发式算法,该算法利用了以一组LMI和矩阵秩约束表示的必要条件和充分条件以及交替投影方法。还建议了一种寻找起点的方法。使用三个数值示例来说明起点选择的有效性以及该算法查找至少与其他方法一样好的近似值的能力。

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