Static Output Feedback Control Synthesis for Linear Systems With Time-Invariant Parametric Uncertainties

Author

Dong, Jiuxiang ; Yang, Guang-hong

Author_Institution

Northeastern Univ., Shenyang

Volume

52

Issue

10

fYear

2007

Firstpage

1930

Lastpage

1936

Abstract

This technical note is concerned with the problem of designing robust static output feedback controllers for linear discrete and continuous-time systems with time-invariant polytopic uncertainties. Sufficient conditions for static output feedback stabilizing controller designs are given in terms of solutions to a set of linear matrix inequalities. Furthermore, the results are also extended to H₂ static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods.

Keywords

continuous time systems; control system synthesis; discrete time systems; feedback; linear matrix inequalities; linear systems; robust control; uncertain systems; continuous-time systems; linear discrete systems; linear matrix inequalities; linear systems; robust static output feedback controllers; static output feedback control synthesis; static output feedback stabilizing controller designs; time-invariant parametric uncertainties; time-invariant polytopic uncertainties; Control system synthesis; Control systems; Design methodology; Linear feedback control systems; Linear matrix inequalities; Linear systems; Output feedback; Robust control; Sufficient conditions; Uncertainty; Linear matrix inequalities (LMIs); parameter dependent Lyapunov functions; robust control; static output feedback (SOF); time-invariant uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2007.906227

Filename

4349189