Admissible Control of Linear Singular Delta Operator Systems

In this paper, we study the problem of state feedback admissible control for the linear singular delta operator systems that result from linear singular continuous systems. By introducing the concept of delta operator, for a given linear singular continuous system, we establish its corresponding delta operator model and this discrete model converges to its continuous counterpart as the sampling period decreases. Sufficient conditions for desirable controllers in terms of matrix inequalities and linear matrix inequalities are given, and the explicit expressions of the controllers are derived. Some examples as well as numerical simulations are provided to demonstrate the effectiveness of the proposed approaches.

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