上海科技大学知识管理系统

This paper is concerned with guaranteed parameter estimation for discrete-time nonlinear systems subject to bounded uncertainties. The proposed approach is based on polytopic set parameterizations. Similar to other estimation and filtering approaches, the presented algorithm is based on two operations, propagation of the polytopic uncertainty through the dynamics and an update operation using the measurement. Both the propagation and the update steps are based on set-operations that use a parameterized lifted outer approximations of the polytopes. The performance of the approach is illustrated by applying it to the double integrator system, where the presented polytopic parameterization approach leads to accurate and rigorous parameter estimates. Copyright (C) 2020 The Authors.