Energy-to-peak filtering for discrete-time singular systems via normal transformation

This paper investigates the energy-to-peak filtering for discrete-time singular system. Based on the admissibility assumption and restricted system equivalence of singular systems, the singular system model can be converted into a normal state-space form via normal transformation. Then, a set of necessary and sufficient conditions for the solvability of this problem are established in the framework of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is given to verify the applicability of the proposed approach.