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

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.