Robust control for stochastic interval system with time delay based on dissipativity analysis

Author

Chen Guici ; Shen Yi

Author_Institution

Sch. of Hydropower & Inf. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

fYear

2014

fDate

28-30 July 2014

Firstpage

5229

Lastpage

5234

Abstract

In this paper, robust control problems for stochastic delay interval systems(SDISs) based on dissipativity analysis are investigated. The SDISs are equivalently transformed into a kind of stochastic uncertain systems with time-delay firstly. By constructing appropriate Lyapunov-Krasovskii functional, the state-feedback robust controller is designed via solving a linear matrix inequality(LMI). Finally, a numerical example with simulation is given to show the effectiveness and correction of the designed robust controller.

Keywords

Lyapunov methods; control system analysis; control system synthesis; delay systems; linear matrix inequalities; robust control; state feedback; stochastic systems; uncertain systems; LMI; Lyapunov-Krasovskii functional; SDISs; dissipativity analysis; linear matrix inequality; robust control problems; state-feedback robust controller design; stochastic delay interval systems; stochastic uncertain systems; time delay; Control theory; Delay effects; Delays; Linear matrix inequalities; Robustness; Stability; Stochastic processes; Dissipativity; Robust Control; Stochastic Interval Systems; Time Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895831

Filename

6895831