\(H_{\infty }\) filtering for switched nonlinear systems under asynchronous switching. (English) Zbl 1233.93094
Summary: In this article, the \(H_{\infty }\) filtering problem for switched nonlinear systems under synchronous and asynchronous switching is addressed. First, \(H_{\infty }\) filtering under synchronous switching is investigated; however, the \(H_{\infty }\) filtering performance cannot be guaranteed when there exists asynchronous switching, which is shown in a numerical example in this article. We then consider asynchronous case. At first the totally asynchronous switching is considered, then by the results of synchronous and totally asynchronous case, \(H_{\infty }\) filtering under partially asynchronous switching is derived. Several numerical examples are given to illustrate the effectiveness of the proposed results.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93B36 | \(H^\infty\)-control |
| 93C10 | Nonlinear systems in control theory |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
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