Title :
Stabilization by reduced-order controllers
Author :
Smith, Malcolm C.
Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
fDate :
1/1/1991 12:00:00 AM
Abstract :
A recent result by A. Linnemann (Syst. Contr. Lett., vol.11, p.27-32, 1988) gives conditions under which a continuous-time single-loop plant of order n can be stabilized by a reduced-order controller. Specifically, if the Euclidean algorithm is applied to the numerator and denominator polynomials of the transfer function and one of the remainders is a kth-order Hurwitz polynomial, then a stabilizing controller of order n-k-1 exists. The author provides an alternative proof of this result
Keywords :
polynomials; stability; transfer functions; Euclidean algorithm; Hurwitz; polynomials; reduced-order controllers; stability; transfer function; Control systems; Hydrogen; Poles and zeros; Polynomials; Transfer functions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
