Title :
An introduction to a nonlinear programming approach to optimal continuous robust parametric H2 control
Author :
Shirley, P.O. ; Lemos, J.M.
Author_Institution :
INESC-ID/Univ. Aberta, Lisbon, Portugal
Abstract :
A parametric H2 optimal control problem for linear continuous time-invariant systems is discussed. The control setup allows that any matrix coefficient of a system state space description be subjected to parameter uncertainties. Controllers with any order and any structure can be synthesized by recasting it as a Static Output Feedback problem. A modified H2 cost functional that allows to start the optimization with a non stabilizing controller is used. First and second order derivatives for the modified H2 cost functional with respect to system uncertainties and controller parameters are given. Based on this setup, several parametric robust design problems are formulated.
Keywords :
H2 control; continuous time systems; feedback; linear systems; matrix algebra; nonlinear programming; optimal control; optimisation; robust control; uncertain systems; H2 cost functional; controller parameter; first order derivative; linear continuous time-invariant system; matrix coefficient; nonlinear programming approach; nonstabilizing controller; optimal continuous robust parametric H2 control; optimization; parameter uncertainty; parametric H2 optimal control problem; parametric robust design problem; second order derivative; static output feedback problem; system state space description; system uncertainty; Actuators; Aerospace electronics; Equations; Mathematical model; Uncertain systems; Uncertainty; Vectors; Benchmark; H2 Derivatives; H2 Optimal Control; Numerical Minimization; Static Output Feedback;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
