非方阵多变量系统解耦设计与Fa阵参数的确定
DECOUPLING DESIGN OF NON—SQUARE MULTIVARIABLE SYSTEM AND DETERMINATION OF Fa (S)MATRIX
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摘要: 本文讨论了用逆奈氏阵列法对一类非方阵多变量系统进行解耦设计．阐述了内环设计（方阵化）和外环设计（对角化）的两级设计思想及在实际设计中使用的叠代算法．作者对内环反馈补偿阵Fa的选取作了深入的探讨，提出了确定Fa阵的实用方法——三角矩阵法，通过实例计算说明这种方法对工程控制系统的计算机辅助设计（CAD）是有明显效果的．Abstract: In this paper,decoupling design of non-square multivariable system using inverse Nyquist array(INA)method is discussed.The two-stage design method which includes‘squaring—down' and‘diagonalisation'isdescribed and its CAD algorithm is developed.Also,the author proposes a triangle matrix method bywhich the Fa(s)-feedback matrix of inner-loop,can be determined.Calculations of an example show thatthis method allows engineers to design efficiently certain non-square multivariable systems.
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