Accession Number : AD0431900


Title :   MITROVIC'S METHOD - SOME FUNDAMENTAL TECHNIQUES,


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF


Personal Author(s) : Thaler,George J ; Ohta,Toymi


Report Date : Jan 1964


Pagination or Media Count : 96


Abstract : Mitrovic's method states: if all of the roots of a polynomial be inside some area in the s-plane, then proof of this can be established by enclosing the area by a contour, mapping the contour onto a polar plane through the characteristic polynomial as a mapping function, and analyzing the polar contour with the Principle of Argument. Only the imaginary axis or a radial straight line in the left half plane are chosen as mapping contours closing the contour through a circular arc of infinite radius so as to enclose all or part of the left half plane. If this is done for a polynomial for which all coefficients are known numerically, then the actual values of the coefficients which were designated variables are the coordinates of a single point on the Mitrovic plot. Mitrovic showed how to evaluate stability and all left half plane roots of the polynomial from his curves and the location of this one point. If this point, called the Mpoint, is moved to a new location new roots and new coefficient values are defined. Then the physical system can be changed so that the two designated coefficients assume their new values without changing any other coefficients. To this he added considerable detail regarding specific techniques for using the method to design feedback control systems. (Author)


Descriptors :   *PROJECTIVE GEOMETRY , MATHEMATICS , CONFORMAL STRUCTURES , FEEDBACK , LINEAR PROGRAMMING


Distribution Statement : APPROVED FOR PUBLIC RELEASE