Transition Moving Horizon Estimation Using Multiple Linear Models

By transition estimation, it is meant a type of estimation method that is employed when the plant transitions from one operating state to another as a result of a set point change. This paper proposes an intelligent multiple model approach called moving horizon Bayesian estimation (MHBE) that can estimate the states of a nonlinear plant effectively. The nonlinear plant operates in multiple regimes and makes transitions between them. It is often difficult to obtain a single nonlinear model that accurately describes the plant in all regimes. An alternative approach is presented where local linear models are identified at each different operating point, and moving horizon estimation is performed by tracking the transitions from one regime to another. In this paper, simulation results for a numerical example and comparison results with the Kalman estimator are given, the result indicate that the method of MHBE is more effective than Kalman filter for constrained system.