Title :
H2 norm checking for systems with parameter uncertainties
Author :
Geng, Zhiyong ; Huang, Lin
Author_Institution :
Center for Syst. & Control, Peking Univ., Beijing, China
fDate :
8/1/2000 12:00:00 AM
Abstract :
This paper studies the problem of H2 norm checking for a MIMO system with parameter uncertainties. Under the assumptions that the coefficients of the numerator polynomial of the system´s transfer function are multi-affine functions of the uncertain parameter that varies in a convex polytope, and that the coefficients of the denominator polynomial of the system´s transfer function are affine functions of the uncertain parameter which varies in a convex polytope, a vertex checking result is obtained
Keywords :
H∞ control; MIMO systems; control system synthesis; multivariable control systems; polynomials; uncertain systems; H2 norm checking; MIMO system; control system design; convex polytope; denominator polynomial coefficients; multi-affine functions; multiaffine functions; numerator polynomial coefficients; parameter uncertainties; transfer function; vertex checking result; Control systems; MIMO; Polynomials; Process design; Robust control; Robust stability; Transfer functions; Uncertain systems; Uncertainty; White noise;
Journal_Title :
Automatic Control, IEEE Transactions on
