H∞ filtering for singularly perturbed descriptor systems

The H_∞ filtering problem for singularly perturbed descriptor system is investigated in this paper. Firstly, an ε-independent sufficient condition is obtained such that the filtering error system is admissible and satisfies the prescribed H_∞ performance. Then, LMI-based design approaches are presented by linearizing transformation techniques. The approaches presented in this paper are independent of the perturbed parameter and can avoid the numerical stiff problem. Finally, the approach is illustrated by a numerical example.