Abstract
In order to capture uncertainty of the control system based on input-output data, multiple data are necessary. However, model sets determined based on multiple input-output data tend to be conservative. Moreover, the conservatism depends on the degree of freedom in parameterizations of model sets to be determined. In this paper, we show the existence condition and the parameterization of model sets which have much degree of freedom and are not inconsistent with given input-output data. Moreover, we propose a method to obtain the smallest model set by minimizing volume of model sets. The minimization problem can be reduced to linear matrix inequalities (LMIs) and can be solved efficiently.
