H∞ performance analysis of singular systems via delta operator method

This paper investigates the problem of H_∞ performance analysis for singular systems through delta operator method. A novel admissibility condition is developed for singular delta operator systems. Based on the above result, two conditions are established for a singular delta operator system to be admissible with an H_∞ performance. All of the conditions appeared in this paper are necessary and sufficient, characterized by a set of strict linear matrix inequalities whose feasible solutions can be obtained easily by matlab-LMI toolbox. A numerical example is also provided to illustrate the effectiveness of the theoretical results in the paper.