Robust polytopic H∞ control of linear retarded state-multiplicative stochastic systems

Author

Gershon, Eli ; Berman, Nadav ; Shaked, Uri

Author_Institution

Fac. of Electr. Eng. Med. Electron., Holon Inst. of Technol., Holon, Israel

fYear

2011

fDate

20-23 June 2011

Firstpage

1433

Lastpage

1438

Abstract

Linear, state delayed, continuous-time systems are considered with both stochastic and polytopic type uncertainties in the state-space model. The problem of robust state-feedback and dynamic H_∞ output-feedback control are solved, for the stationary case, via the input-output approach where the system is replaced by a nonretarded system having deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H_∞ performance cost with respect to the stochastic parameters.

Keywords

H^∞ control; delays; robust control; state feedback; state-space methods; stochastic systems; uncertain systems; continuous time systems; linear retarded state multiplicative stochastic systems; nonretarded system; norm bounded uncertainties; polytopic type uncertainties; robust polytopic H_∞ control; robust state feedback; state delayed systems; state-space model; Delay; Linear matrix inequalities; Noise; Robustness; Stability analysis; Stochastic processes; Uncertainty; Robust Stochastic H∞ control; polytopic uncertain systems; time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2011 19th Mediterranean Conference on

Conference_Location

Corfu

Print_ISBN

978-1-4577-0124-5

Type

conf

DOI

10.1109/MED.2011.5983196

Filename

5983196