Robust H2 performance analysis for systems with nonlinear parametric uncertainties

Author

Ke-You Zhao ; Grimble, Michael J. ; Stoustrup, Jakob

Author_Institution

Dept. of Electr. Eng., Qingdao Univ., Qingdao, China

fYear

1997

fDate

1-7 July 1997

Firstpage

1061

Lastpage

1066

Abstract

In this paper algorithms for calculating the maximal perturbation bounds under H₂ performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.

Keywords

H² control; constraint theory; matrix algebra; nonlinear control systems; perturbation techniques; robust control; state-space methods; uncertain systems; H₂ performance constraints; matrix algebra; maximal perturbation bounds; nonlinear parametric uncertainties; performance robustness analysis; real uncertain parameters; robust H₂ performance analysis; stability; state space models; Algorithm design and analysis; Eigenvalues and eigenfunctions; Manganese; Robust stability; Robustness; Stability analysis; Uncertainty; Nonlinear parametric uncertainties; Optimal control; Robust control; Robust performance; Robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082239