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The paper deals with the problem of designing informative input trajectoriesfor data-driven simulation. First, the excitation requirements in the case ofnoise-free data are discussed and new weaker conditions, which assume thesimulated input to be known in advance, are provided. Then, the case of noisydata trajectories is considered and an input design problem based on a recentlyproposed maximum likelihood estimator is formulated. A Bayesian interpretationis provided, and the implications of using Hankel and Page matrixrepresentations are demonstrated. Numerical examples show the impact of thedesigned input on the predictive accuracy.

Design of input for data-driven simulation with Hankel and Page matrices