Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions

Author

Peaucelle, Dimitri ; Arzelier, Denis

Author_Institution

LAAS-CNRS, Toulouse, France

Volume

46

Issue

4

fYear

2001

fDate

4/1/2001 12:00:00 AM

Firstpage

624

Lastpage

630

Abstract

Robust performance analysis for linear time-invariant systems with linear fractional transformation real parametric uncertainty is considered. New conditions of robust stability/performance based on parameter-dependent Lyapunov functions are proposed. The robust stability/performance measures are: robust pole location, robust H_∞ performance and robust H₂ performance. Linear matrix inequality (LMI)-based sufficient conditions for the existence of parameter-dependent Lyapunov functions are derived by using the quadratic separation concept. The performances of the proposed conditions are compared with existing tests

Keywords

H^∞ control; Lyapunov methods; linear systems; matrix algebra; pole assignment; robust control; uncertain systems; LMI-based methods; linear fractional transformation; linear matrix inequality-based sufficient conditions; linear time-invariant systems; parameter-dependent Lyapunov functions; quadratic separation concept; real parametric uncertainty; robust H_∞ performance; robust H₂ performance; robust performance analysis; robust pole location; robust stability; Linear matrix inequalities; Lyapunov method; Performance analysis; Performance evaluation; Robust stability; Robustness; Sufficient conditions; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.917664

Filename

917664