Positive real analysis on the uncertain discrete-time singular system

Based on the generalized quadratic stability and ESPR of general discrete-time singular system, the sufficient and necessary condition of quadratic admissibility and SPR of uncertain discrete-time singular system is proposed. By introducing augmented system, the research is carried out by transforming the PR analysis and design of uncertain discrete-time singular system to certain discrete-time singular system. At last, comprehensive method of designing the state feedback robust SPR controller of the uncertain discrete-time singular system is proposed, and then the correctness of the method is proved through numerical examples.