H ∞ control for discrete-time singular delay systems

In this paper, H ∞ control for discrete-time singular delay systems is addressed. Firstly, H ∞ performance analysis for discrete-time singular delay systems is studied. Then, by applying the skill of matrix theory, H ∞ controller design is given to guarantee the closed-loop discrete-time singular delay systems to be regular, casual and stable and satisfy the H ∞ performance. Finally, numerical example is given to demonstrate the effectiveness of the proposed method.