Name
Title | ||
|---|---|---|
Infinite horizon H ∞ control for nonlinear stochastic Markov jump systems with ( x , u , v ) -dependent noise via fuzzy approach |
Abstract | ||
|---|---|---|
In this paper, the H ∞ control problem is studied for nonlinear stochastic Markov jump systems with state, control and external disturbance-dependent noise ( ( x , u , v ) -dependent noise for short). A sufficient condition is derived for the infinite horizon H ∞ control of such systems in terms of a set of coupled second-order Hamilton-Jacobi inequalities (HJIs). In general, it is difficult to solve these coupled HJIs. By using fuzzy approach, the infinite horizon H ∞ control design for nonlinear stochastic Markov jump systems is developed via solving a set of linear matrix inequalities (LMIs) instead of HJIs. Two numerical examples are presented to illustrate the effectiveness of the proposed design methods. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.fss.2014.10.015 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Nonlinear stochastic systems,Markov jump systems,H∞ control,(x,u,v)-dependent noise,T–S fuzzy model | Nonlinear system,Matrix (mathematics),Markov chain,Fuzzy logic,Infinite horizon,Artificial intelligence,Jump,Mathematics,Machine learning | Journal |
Volume | Issue | ISSN |
273 | C | 0165-0114 |
Citations | PageRank | References |
11 | 0.59 | 21 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li Sheng | 1 | 125 | 15.24 |
| Ming Gao | 2 | 59 | 7.26 |
| Weihai Zhang | 3 | 625 | 67.73 |
| Bor-Sen Chen | 4 | 2640 | 228.84 |