Title :
On the computation of the robust stability margin for ellipsoidal parametric uncertainties
Author :
Mahon, H. Michael ; Crisalle, Oscar D.
Author_Institution :
Dept. of Chem. Eng., Florida Univ., Gainesville, FL, USA
Abstract :
A systematic method for determining the Nyquist robust stability margin for a polynomial subject to ellipsoidal parametric uncertainty is presented. The margin is calculated as the infinity norm of a stable, minimum-phase transfer function whose frequency response magnitude characterizes the robust stability of the system. The appropriate transfer function is constructed directly from elements of the nominal polynomial and the matrix describing the uncertainty ellipsoid
Keywords :
Nyquist stability; frequency response; matrix algebra; parameter estimation; polynomials; robust control; transfer functions; uncertain systems; Nyquist robust stability margin; ellipsoidal parametric uncertainties; frequency response magnitude; infinity norm; nominal polynomial; stable minimum-phase transfer function; Chemical engineering; Ellipsoids; Frequency response; H infinity control; Parameter estimation; Polynomials; Robust stability; Robustness; Transfer functions; Uncertainty;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707063
