State feedback fuzzy-model-based control for discrete-time markovian jump nonlinear systems with time-varying delays

Author

Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon ; Kim, Jin Kyu

Author_Institution

Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea

fYear

2009

Firstpage

2105

Lastpage

2108

Abstract

In this paper, the stability analysis and stabilization problem for a discrete-time Markovian jump nonlinear systems (MJLNS) with time-varying delays are investigated. The time-delay is considered to be time-varying and has a upper bound. The transition probabilities of the mode jumps are considered to be completely known. Sufficient conditions for stochastic stability of the Markovian jump fuzzy systems (MJFS) are derived via the linear matrix inequality (LMI) formulation, and the design of the stabilizing controller is further given. A numerical example is used to illustrate the developed theory.

Keywords

delays; discrete time systems; fuzzy control; linear matrix inequalities; nonlinear control systems; state feedback; stochastic systems; LMI; Markovian jump fuzzy systems; discrete-time Markovian jump nonlinear systems; linear matrix inequality; stability analysis; stabilization problem; stabilizing controller design; state feedback fuzzy-model-based control; stochastic stability; time-varying delays; Control systems; Delay systems; Nonlinear control systems; Nonlinear systems; Stability analysis; State feedback; Stochastic systems; Sufficient conditions; Time varying systems; Upper bound; Linear matrix inequality (LMI); Markovian jump nonlinear sytems (MJLNS); stochastic stability; time-varying delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on

Conference_Location

Jeju Island

ISSN

1098-7584

Print_ISBN

978-1-4244-3596-8

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2009.5277162

Filename

5277162