Estimation and control with cubic nonlinearities
The nonlinearities in a dynamic system and its measurement equations are assumed to be cubic and small, i.e., all proportional to a single scalar small parameter \(\epsilon\). The optimal digital nonlinear feedback control law is carried through the first power of \(\epsilon\), taking into account the non-Gaussian character of the state conditional distribution. The optimal law involves cubic and linear terms in the state estimate, as well as higher moments of the state conditional distribution.
optimal digital nonlinear feedback control law
scientific article; zbMATH DE number 3956942
scientific article