H<inf>∞</inf> performance analysis and synthesis of singular delta operator systems

Abstract

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.