Robust H∞ Filtering for Uncertain Discrete-Time Switched Singular Systems

The robust H-infinity 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-infinity performance for all admissible uncertainties The H-infinity filter can be full or reduced order A numerical example is given to illustrate the effectiveness of the proposed method