Positive realness of a class of uncertain linear discrete-time systems with constant state delay

Author

Meng, Xianji

Author_Institution

Coll. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China

fYear

2009

fDate

17-19 June 2009

Firstpage

4094

Lastpage

4099

Abstract

This paper is concerned with the problems of positive real analysis and control synthesis for discrete-time systems with time-invariant state delay and parameter uncertainties. Motivated by the results of, linear matrix inequality (LMI) characterizations of positive realness for discrete delay systems with/without uncertainties are derived, which enable one to check the positive realness by using parameter-dependent Lyapunov function. Numerical examples are included for illustration.

Keywords

Lyapunov methods; control system synthesis; delays; discrete time systems; linear matrix inequalities; linear systems; uncertain systems; constant state delay; control synthesis; discrete delay systems; linear matrix inequality; parameter uncertainties; parameter-dependent Lyapunov function; positive real analysis; time-invariant state delay; uncertain linear discrete-time systems; Control system analysis; Control systems; Delay systems; Educational institutions; Information science; Linear matrix inequalities; Lyapunov method; Mathematics; Symmetric matrices; Uncertain systems; Jensen Inequality; Linear Matrix Inequalities(LMIs); Positive Realness; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192442

Filename

5192442