An improved state feedback stabilization of uncertain systems with input delay

Author

Das, Debesh K. ; Ghosh, Sudip ; Subudhi, Bidyadhar

Author_Institution

Dept. of Electr. Eng., Nat. Inst. of Technol., Rourkela, India

fYear

2012

fDate

7-9 Dec. 2012

Firstpage

765

Lastpage

769

Abstract

In this paper, an improved Linear Matrix Inequality (LMI) based robust delay dependent state feedback stabilizing criterion is developed for an uncertain continuous-time system with norm-bounded-type uncertainties and time-varying delay. To address these issues, a suitable Lyapunov-Krasovskii functional is chosen and free-weighting matrix variable approach is employed. Finally, numerical examples are presented to show the improvement in robustness using the proposed approach.

Keywords

Lyapunov methods; continuous time systems; delays; linear matrix inequalities; stability; state feedback; time-varying systems; uncertain systems; LMI; Lyapunov-Krasovskii functional; free-weighting matrix variable approach; input delay; linear matrix inequality; norm-bounded-type uncertainties; robust delay dependent state feedback stabilizing criterion; time-varying delay; uncertain continuous-time system; Delay; Linear matrix inequalities; Robustness; Stability criteria; State feedback; Time varying systems; Uncertain systems; Linear Matrix Inequality (LMI); Lyapunov-Krasovaskii Functional; Time-delay System;

fLanguage

English

Publisher

ieee

Conference_Titel

India Conference (INDICON), 2012 Annual IEEE

Conference_Location

Kochi

Print_ISBN

978-1-4673-2270-6

Type

conf

DOI

10.1109/INDCON.2012.6420719

Filename

6420719