High‐Order Extended Kalman Filter Design for a Class of Complex Dynamic Systems with Polynomial Nonlinearities

A novel High-order extended Kalman Filter (HEKF) is designed for a class of complex dynamic systems with polynomial nonlinearities. The state and measurement models are represented by multi-dimensional high-order polynomials, respectively. All polynomials in the model defined as implicit variables. By combining original variables variables, equivalently formulated to be pseudo-linear form. modeling relationship between all new linear augmented established correspondingly. can On basis models, HEKF derived detail. Simulation results demonstrate effectiveness proposed estimator.