Title :
Perturbation analysis of the H∞ control problem
Author :
Konstantinen, M. ; Petkov, P. ; Kawelke, J. ; Gu, D. ; Postlethwaite, I.
Author_Institution :
Eng. Dept., Leicester Univ. Leicester, Leicester, UK
Abstract :
Perturbation bounds for the H∞ control problem are derived. Both linear local (asymptotic) and nonlinear nonlocal bounds are given. The linear bounds are obtained in terms of condition numbers on the basis of the Fréchet derivatives of the left-hand side of the corresponding Placcati equation. The nonlinear bounds are obtained after rewriting the perturbation problem as an operator equation (with nonunique solution) and applying the Brouwer fixed point principle.
Keywords :
H∞ control; linear systems; nonlinear control systems; perturbation techniques; Brouwer fixed point principle; Fréchet derivatives; H∞ control problem; Placcati equation; linear local bounds; nonlinear nonlocal bounds; perturbation analysis; Bismuth; Manganese; Matrices; Perturbation methods; Riccati equations; Sensitivity analysis; Transfer functions; Conditioning; H∞ control; Perturbation analysis;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
