Title :
Calculation of Quadratic Moments of High-Order Linear Systems via Routh Canonical Transformation
Author :
Puri, N.N. ; Weygandt, C.N.
Author_Institution :
Missile and Space Division of the General Electric Company, Philadelphia, Pa.
Abstract :
In this paper, three different methods are developed for calculating various moments of the system variables of a linear system, represented by matrix equation x = Ax. A transformation Q is developed which transforms the system matrix A into a special matrix R. Liapunov function V is considered as V = xtQtQx and it facilitates evaluation of various moments ¿0¿ tmx2dt These methods are especially useful for high-order systems. Examples are included to explain each method.
Keywords :
Control systems; Differential equations; Eigenvalues and eigenfunctions; Error correction; Feedback control; Linear systems; Performance evaluation; System performance; Tellurium; Transforms;
Journal_Title :
Applications and Industry, IEEE Transactions on
DOI :
10.1109/TAI.1964.5407717
