Name
Title | ||
|---|---|---|
Finite-Time <inline-formula> <tex-math notation="LaTeX">$H_{\infty}$ </tex-math></inline-formula> Filtering for Nonlinear Singular Systems With Nonhomogeneous Markov Jumps |
Abstract | ||
|---|---|---|
This paper addresses the finite-time
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula>
filtering for a class of nonlinear singular nonhomogeneous Markov jump systems by T–S fuzzy approximation approach, where the transition probabilities (TPs) are time-varying and unknown. First, by considering a stochastic Lyapunov functional and rendering the time-varying TPs inside a polytope, a sufficient condition on singular stochastic
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula>
finite-time boundedness (SS
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula>
FTB) for the filtering error systems is given. Then, by using the matrix inequality decoupling technique, a novel linear matrix inequality (LMI) condition on the existence of the finite-time
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula>
fuzzy filter is presented. The fuzzy filter is developed in terms of LMIs ensuring the filtering error system is SS
<inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula>
FTB. Compared with the previous ones, the proposed design method in this paper has more freedom, leading to less conservative results. A tunnel diode circuit is provided to illustrate the effectiveness and advantage of the design approach proposed in this paper. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/TCYB.2018.2820139 | IEEE Transactions on Cybernetics |
Keywords | DocType | Volume |
Markov processes,Linear matrix inequalities,Symmetric matrices,Stability analysis,Fuzzy systems,Networked control systems | Journal | 49 |
Issue | ISSN | Citations |
6 | 2168-2267 | 10 |
PageRank | References | Authors |
0.43 | 26 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jimin Wang | 1 | 19 | 1.31 |
| Shuping Ma | 2 | 26 | 4.06 |
| Chenghui Zhang | 3 | 268 | 38.20 |
| Minyue Fu | 4 | 1878 | 221.17 |