Distributed State Estimation Design for Discrete-Time Interconnected Singular Systems: A LMI Method

This paper is devoted to exploring a state estimation design method for a class of interconnected singular systems. A novel distributed observer is developed to achieve the state reconstruction. To improve the estimation performance, the associated information among subsystems is added in the observer design process, which is a new attempt for the researched system. In light of the Lyapunov method and the linear matrix inequality (LMI) technique, some conditions are shown to ensure observation error dynamics to be asymptotically stable. Particularly, by skillfully introducing some slack matrices into the design scheme and using the matrix transformation technique, all the observer gains can be calculated in one step rather than two steps, which makes our method more intelligent. At last, the state estimation performance is verified via a numerical simulation.