\(H_{\infty }\) filtering for singular systems with communication delays. (English) Zbl 1197.94084
Summary: This paper addresses the problem of \(H_{\infty }\) filtering for singular systems with communication delays. The information limitations, which include measurement quantization, signal transmission delay and data packet dropout, are analyzed. Based on the linear matrix inequality (LMI) approach, a full-order filter is designed to cope with the aforementioned information limitations such that the filtering error singular system is regular, impulse-free and exponentially stable, and has a prescribed \(H_{\infty }\) performance as well. Sufficient conditions that guarantee the existence of the desired filter are also obtained. Two numerical examples are given to illustrate the effectiveness of the proposed approach.
MSC:
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
\(H_{\infty }\) filter; singular system; data packet dropout; measurement quantization; signal transmission delayReferences:
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