Reachable set synthesis of singular systems

In this paper, the reachable set estimation and control problems of singular systems are investigated. By utilizing a novel system decomposition method , a sufficient condition is proposed in terms of linear matrix inequalities (LMIs) to find an ellipsord. Then a state feedback controller is designed to guarantee all the reachable set of the considered closed-loop singular systems to be contained by the "smallest" ellipsoid. Lastly, a numerical example is given to demonstrate the effectiveness of the obtained results.

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