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

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

582

Lastpage

587

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7075971