特殊的多变量系统等价变换及其在自适应控制中的应用

Mimo System Equivalent Block Transformation and Its Application to Adaptive Control

对ｍ个输入ｍ个输出的可观且可控的多变量线性系统，且可观指数ｖｉ与可控指数μｉ均为ｒ，本文给出极其类似于单变量系统的频率及时域的各种表达式及其等价变换计算方法。在通过最小二乘辨识模型和经由状态估计与状态反馈进行极点任意配置的多变量系统自适应控制器设计方面，本文给出标准表达式将使推导过程变得简单明了。

An M-input m-output multivariable system is denoted by its transfer-function matrix T(Z). Suppose the system is controllable and observable with the controllabitity indics vi=r and the observability indiCeS μi= r(i=1, 2,......,m). Then we have the following equivalent dedgnation forms to describe the system and the corresponding equivalence transformation matrices to trans fer the descriptions with the state vector x(t) to each other. Its application to adaptive control its also discussed in the paper.