Smith－McMillan形并矢展开近似模型的多变量系统设计及其稳定性

The Multivariable System Design with Smith-McMillan Dyadic Expansion Approximate Models and Its Stability

讨论了由被控对象传递函数阵Ｓｍｉｔｈ－ＭｃＭｉｌｌａｎ形并矢展开近似模型的多变量反馈系统设计。该法适用范围广，控制器和反馈构造简单，实际系统闭环稳定性易于检验，且近似模型闭环系统与实际闭环系统稳态相同，附算例。

The multivariable feedback system design method with dyadic expansion approximate models from the Smith-McMillan canonical form of the controlled system transfer function matrix is considered. The algorithm, based on the dyadic expansion of controllers, can be used in all systems described by rational fraction transfer function matrix, and the feed back and controller are simple in construction. Especially, the closed system of the approximate model and that of the actual model have the same static features. The stability of the actual model system is discussed in both frequency domain and time domain, and the latter of which can be easily calculated by using CAD. There is an example to illustrate the algorithm .