D-admissible control of singular delta operator systems

Abstract

We mainly research the method of designing the D-admissible controller for singular delta operator systems. In order to ensure that the generalized Delta operator system is D-admissible, we design a state feedback controller. According to the definition of the generalized discrete system and the generalized Delta operator system, the relationship between them is analyzed. And the necessary and sufficient conditions for the D-admissibility of the singular Delta operator system are derived. Secondly, on account of the condition, the method of solving this D-admissible controller is to use linear matrix inequalities (LMI). Finally, in order to verify the effectiveness of the method, we give some numerical examples. Thus, the design method of this paper is feasible, and the D-admissible controller is reasonable and effective.