H∞ performance analysis and synthesis of singular delta operator systems

This paper mainly studies the problems of H_∞ performance analysis and H_∞ control for singular systems through delta operator method. Firstly, by using linear matrix inequality, a necessary and sufficient condition is given such that a singular delta operator system is admissible and satisfies a prescribed H_∞ performance. Secondly, based on the above result and matrix inequality, the existence condition and design method of a suitable state feedback H_∞ controller are obtained for singular delta operator systems. Finally, some numerical examples are given to demonstrate the effectiveness of the proposed results.