Robust non-fragile filtering for networked systems with distributed variable delays. (English) Zbl 1290.93193
Summary: This paper is concerned with the robust non-fragile filtering for a class of networked systems with distributed variable delays. We model such a complex delay system with an augmented switched system. For the filtering implementation uncertainty, a stochastic variable is employed to indicate random occurrence of the filter gain change, and a norm bound to measure the change size. The suitably weighted measurements are proposed for filter performance improvement, instead of direct use of the measurements themselves which may have significant delays and degrade the performance. With some improved stability and \(l_2\) gain analysis for the switched systems, a new sufficient condition is obtained such that the filtering error system is exponentially stable in the mean square sense and achieves a prescribed \(H_\infty\) performance level. A numerical example is given to show the effectiveness of the proposed design.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93E15 | Stochastic stability in control theory |
| 93C41 | Control/observation systems with incomplete information |
| 93D20 | Asymptotic stability in control theory |
Keywords:
robust non-fragile filtering; networked systems; distributed variable delays; \(l_2\) gain analysis; exponentially stabilityReferences:
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