Optimal Input Design for Flat Systems using B-Splines

This paper deals with optimal design of input signals for linear, controllable systems, by means of their flat output. The flat output is parametrized by a polynomial spline and a linear problem is formulated in which both the spline coefficients and the knot locations are found simultaneously. Conservative constraints on the spline coefficients ensure that semi-infinite bounds are never violated and numerical results show that the amount of conservatism is little.status: publishe