Robust control for markov jump linear system in fixed time interval

Author

Shen, Yanjun

Author_Institution

Coll. of Sci., China Three Gorges Univ., Yichang, China

fYear

2009

fDate

5-7 Aug. 2009

Firstpage

720

Lastpage

725

Abstract

This paper is concerned with the finite-time control problem of continuous-time linear system that posses randomly jumping parameters which can be described by finite-state Markov processes. The main results provided are sufficient conditions for mean square finite-time stability (MSFTS) and mean square finite-time boundedness (MSFTB) via state feedback. Such sufficient conditions can be turned into feasibility problems involving LMIs. A detailed example is presented to illustrate the proposed methodology.

Keywords

Markov processes; continuous time systems; linear matrix inequalities; linear systems; robust control; state feedback; stochastic systems; LMI; Markov jump linear system; continuous-time linear system; finite-state Markov processes; finite-time control problem; fixed time interval; linear matrix inequalities; mean square finite-time boundedness; mean square finite-time stability; randomly jumping parameters; robust control; state feedback; Automation; Control systems; Convergence; Linear systems; Logistics; Nonlinear dynamical systems; Robust control; Stability; State feedback; Sufficient conditions; LMI; mean square finite-time boundedness; mean square finite-time stability; robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation and Logistics, 2009. ICAL '09. IEEE International Conference on

Conference_Location

Shenyang

Print_ISBN

978-1-4244-4794-7

Electronic_ISBN

978-1-4244-4795-4

Type

conf

DOI

10.1109/ICAL.2009.5262829

Filename

5262829