Title :
Construction of robust SPR functions
Author :
Marquez, Horacio J. ; Agathoklis, Panajotis
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada
Abstract :
A new approach for the analysis of the strict positive real property of rational functions of the form H(s)=p(s)/q(s) is proposed, based on the interlacing properties of the roots of the even and odd parts of p(s) and q(s) over the imaginary axis. An algorithm to obtain p(s) such that p(s)/q(s) is SPR for a given Hurwitz q(s) is developed from the analysis of these properties. The extension of this result to the case when q(s) is an uncertain Hurwitz polynomial is also considered
Keywords :
control system analysis; polynomials; stability; transfer functions; imaginary axis; linear time invariant systems; rational functions; robust SPR functions; strict positive real property; uncertain Hurwitz polynomial; Adaptive control; Adaptive filters; Algorithm design and analysis; Image analysis; Polynomials; Robustness; Stability analysis; Transfer functions; Uncertainty; Upper bound;
Conference_Titel :
Communications, Computers and Signal Processing, 1997. 10 Years PACRIM 1987-1997 - Networking the Pacific Rim. 1997 IEEE Pacific Rim Conference on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-3905-3
DOI :
10.1109/PACRIM.1997.620328
