Mode Determination in the Data Informativity

Abstract

One approach to data-driven control is proposed as a method based on Data Informativity. This approach is formulated based on the idea of Data Informativity that a system consistent with data has desirable properties. In the Data Informativity framework, one of the main problems is the analytical problem of determining the conditions of the data on which the controller is to be designed. In the analysis problem, it is assumed that the order of the dynamic characteristics (the dimension of the system) is equal to the dimension of the space in which the data is defined. Therefore, the analysis cannot be applied when the data size is different from the dimension of the model. In this report, we address the problem of finding conditions of data for the determination of modes (poles and their multiple degrees) in the Data Informativity framework, without assuming an equidimensionality condition between the order of the dynamic characteristics (dimension of the system) and the dimension of the space in which the data is defined. The method of polynomial representation, which is theoretically organized in model-based control, is incorporated into the Data Informativity framework.