具有良好选择的双线性系统矩匹配
Moment matching for bilinear systems with nice selections
摘要：
本文提出了一种双线性控制系统模型降阶的方法。它依赖于双线性系统的输入输出映射具有特别简单的Fliess级数展开的观察。随后，制定模型简化算法，使得原始系统和简化系统的Fliess级数展开的系数匹配某些预定义的集合-漂亮的选择。提供了一个很好的选择，用于计算矩阵表示的不可观测和可达空间。随后，它们用于计算给定输入-输出映射的部分实现。
英文摘要：
The paper develops a method for model reduction of bilinear control systems. It leans upon the observation that the input-output map of a bilinear system has a particularly simple Fliess series expansion. Subsequently, a model reduction algorithm is formulated such that the coefficients of Fliess series expansion for the original and reduced systems match up to certain predefined sets - nice selections. Algorithms for computing matrix representations of unobservability and reachability spaces complying with a nice selection are provided. Subsequently, they are used for calculating a partial realization of a given input-output map.
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