A positivity approach to robust controllers analysis and synthesis versus mixed LTI/LTV uncertainties

Author

Roos, Clément ; Biannic, Jean-Marc

Author_Institution

Dept. of Syst. Control & Flight Dynamics, ONERA/DCSD, Toulouse

fYear

2006

fDate

14-16 June 2006

Abstract

The notion of semi-positive realness for complex-valued systems is first defined and characterized through a generalized version of the positive real lemma. This result is then exploited to compute robustness margins versus mixed LTI/LTV real/complex uncertainties. Extensions to fixed-order robust synthesis are also highlighted and a practical algorithm is proposed for the combined design of robust feedback and feedforward controllers. A fighter aircraft example finally illustrates the efficiency and the low conservatism of the scheme

Keywords

control system analysis; control system synthesis; feedback; feedforward; linear matrix inequalities; robust control; uncertain systems; complex-valued systems; feedforward controllers; fixed-order robust synthesis; mixed LTI/LTV uncertainties; positive real lemma; robust controllers analysis; robust feedback; semi-positive realness; Algorithm design and analysis; Control system analysis; Control system synthesis; Fault detection; Frequency; Military aircraft; Robust control; Robustness; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657287

Filename

1657287