Controllability analysis of Networked Control Systems with packets loss

The problem of controllability and control strategy for a class of Networked Control Systems (NCSs) with packets loss are studied in this paper. A probabilistic controllability conception is proposed for these systems. In order to analyze the probabilistic controllability and relevant properties, a representation of the initial state by a group of constructive base of linear space is introduced. Based on this representation the affects to control system caused by packets loss can be expressed by system substates. A control strategy is developed to guarantee, the controllability of NCSs, and the minimum control steps property of this control strategy is discussed as well. Finally, a necessary and sufficient condition of probabilistic controllability for NCSs with packets loss is represented.