Admissibility conditions for linear singular delta operator systems: Analysis and synthesis

This paper mainly deals with the problems of admissibility analysis and admissible control for linear singular delta operator systems. By introducing the delta operator into the discrete model of a linear singular continuous system, the delta operator model is set up which tends to the corresponding continuous system when the sampling period tends to zero. Necessary and sufficient admissibility conditions are proposed for linear singular delta operator systems. Based on these results, the problem of admissible control is also considered and an explicit expression of a desired state feedback controller is given. Finally, examples are provided to demonstrate the results in this paper.