Name
Title | ||
|---|---|---|
Stabilization for Markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control |
Abstract | ||
|---|---|---|
Abstract: This paper is concerned with the stability and stabilization problems for a class of nonlinear systems with Markovian jump parameters. The Takagi-Sugeno (T-S) fuzzy model is employed to represent the Markovian jump nonlinear systems with partly unknown transition probabilities. In contrast with the certain or uncertain transition probabilities investigated recently, the concept of partly unknown transition probabilities does not need any knowledge of the unknown elements. Some sufficient conditions for stochastic stability and stabilization conditions with a mode-dependent fuzzy controller are derived for the Markovian jump fuzzy systems in terms of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the design developed in this paper. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.fss.2010.07.007 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
unknown element,fuzzy model,markovian jump,markovian jump parameter,stability and stabilization,partly unknown transition probabilities,fuzzy system,fuzzy control,mode-dependent fuzzy controller,markovian jump nonlinear system,nonlinear system,uncertain transition probability,unknown transition probability,linear matrix inequality (lmi),markovian jump systems,linear matrix inequality,transition probability | Nonlinear system,Linear system,Control theory,Matrix (mathematics),Fuzzy logic,Fuzzy set,Probability distribution,Fuzzy control system,Numerical stability,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 21 | Fuzzy Sets and Systems |
Citations | PageRank | References |
22 | 0.96 | 18 |
Authors | ||
2 | ||