This paper presents a method for input trajectory design of dynamical systems with the aim of enhancing state estimation accuracy. The method is based on the optimization of a modified version of an index derived from a set-theoretic approach to observability. The presented technique is applied to a model representing a fed-batch bioreactor and results are compared to a traditional method. Applying the input trajectory obtained from the devised design method results in a significantly better state estimation performance than the one found when applying the control actions obtained by the traditional design approach.
E. Lopez, J. Hahn, L.M. Gómez Echavarría, and H. Alvarez. "Input Trajectory Design for the Enhancement of State Estimation through a Set-theoretic Approach to Observability"
Industrial & Engineering Chemistry Research 59, No. 30, pp. 13631-13641 (2020)