On the sensitivity of a system compensated by the inverse Nyquist array

Abstract

Bounds for the elements of the sensitivity matrix S(j?) of a system compensated by the inverse Nyquist array method will be found and a graphical technique will be presented for determining areas in the complex plane in which the diagonal elements Sii(j?) of S(j?) lie. A graphical method is also described for determining frequency intervals in which the norm ?S(j?)?-(or ?S(j?)?1) of the sensitivity matrix is less than one. The application of the proposed techniques is illustrated in two examples