Title :
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
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;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277162
