Robust H∞ filtering for uncertain discrete-time switched singular systems

The robust H∞ filtering problem for discrete-time switched singular systems with parameter uncertainties is discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the filtering error system is transformed into a switched standard linear system, then a switched filter is designed in terms of linear matrix inequality, which guarantees that the filtering error system is regular, causal, stable and satisfies H∞ performance for all admissible uncertainties. The H∞ filter can be full or reduced order. A numerical example is given to illustrate the effectiveness of the proposed method.