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H∞ Filtering Problem of Singular Systems with Uncertainties in the Difference Matrix

Tianbo Xu, Qingling Zhang*, and Feng Zhao
International Journal of Control, Automation, and Systems, vol. 16, no. 3, pp.1207-1216, 2018

Abstract : "This study considers H∞ filtering problems for continuous-time singular systems with norm-bounded uncertainties in the difference matrix. Under the condition that the difference matrix is rank-variant for all admissible uncertainties, the robustness analysis problem under consideration falls into two cases: right-singular case and left-singular case. By using a state augmentation technique, Based on two cases, H∞ filtering problem is considered, and a new H∞ filter design result is summarized in this paper. Finally, illustrative examples show that the proposed conditions are effective for the singular systems with norm-bounded uncertainties in the difference matrix."

Keyword : Difference matrix, H∞ filtering, norm-bounded uncertainty, singular system

 
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