基于降阶观测控制器的一般真系统的双互质分解

推广了严格真系统的结果，给出了基于降阶观测控制器的一般真系统双互质分解的状态空间实现，并分析了相应控制器参数化的物理意义。最后，揭示了带有和没有辅助稳定矩阵的两种双互质分解的有趣的联系，得出了简单的计算公式。

Doubly Coprime Factorizations for General Proper Systems by Using Reduced-Order Observer-Based Controllers

By using reduced-order observer-based controllers, explicit state-space realizations of doubly coprime factorizations for general proper systems are derived. The known results for strictly proper systems can be obtained from our factorizations as particular forms. Also, the physical significance of the resulting controller parameterization is analyzed. Finally, the interesting connections between these factorizations in the present paper using an auxiliary stable matrix and those given before without introducing an auxiliary stable matrix are revealed, which show two versions of doubly coprime factorizations can be obtained each other by simple computations.