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In this paper, we introduce turnpike arguments in the context of optimal state estimation. In particular, we show that the optimal solution of the state estimation problem involving all available past data serves as turnpike for the…

最优化与控制 · 数学 2025-10-22 Julian D. Schiller , Lars Grüne , Matthias A. Müller

To control a dynamical system it is essential to obtain an accurate estimate of the current system state based on uncertain sensor measurements and existing system knowledge. An optimization-based moving horizon estimation (MHE) approach…

系统与控制 · 电气工程与系统科学 2022-05-03 Simon Muntwiler , Kim P. Wabersich , Melanie N. Zeilinger

This report presents three Moving Horizon Estimation (MHE) methods for discrete-time partitioned linear systems, i.e. systems decomposed into coupled subsystems with non-overlapping states. The MHE approach is used due to its capability of…

系统与控制 · 电气工程与系统科学 2024-02-01 Marcello Farina , Giancarlo Ferrari-Trecate , Riccardo Scattolini

Optimization-based state estimation is useful for nonlinear or constrained dynamic systems for which few general methods with established properties are available. The two fundamental forms are moving horizon estimation (MHE) which uses the…

最优化与控制 · 数学 2017-09-27 Wuhua Hu

Optimization-based state estimation is useful for handling of constrained linear or nonlinear dynamical systems. It has an ideal form, known as full information estimation (FIE) which uses all past measurements to perform state estimation,…

最优化与控制 · 数学 2022-03-29 Wuhua Hu

Moving horizon estimation (MHE) offers benefits relative to other estimation approaches by its ability to explicitly handle constraints, but suffers increased computation cost. To help enable MHE on platforms with limited computation power,…

系统与控制 · 电气工程与系统科学 2023-04-14 Yujia Yang , Chris Manzie , Ye Pu

Moving horizon estimation (MHE) is a widely studied state estimation approach in several practical applications. In the MHE problem, the state estimates are obtained via the solution of an approximated nonlinear optimization problem.…

最优化与控制 · 数学 2023-06-26 Tianchen Liu , Kushal Chakrabarti , Nikhil Chopra

This work proposes a unifying probabilistic framework for the design of robustly asymptotically stable moving-horizon estimators (MHE) for discrete-time nonlinear systems, and a mechanism to incorporate differential privacy in…

最优化与控制 · 数学 2019-12-20 Vishaal Krishnan , Sonia Martínez

The turnpike property refers to the phenomenon that in many optimal control problems, the solutions for different initial conditions and varying horizons approach a neighborhood of a specific steady state, then stay in this neighborhood for…

最优化与控制 · 数学 2021-03-17 Timm Faulwasser , Lars Grüne

Long horizon lengths in Moving Horizon Estimation are desirable to reach the performance limits of the full information estimator. However, the conventional MHE technique suffers from a number of deficiencies in this respect. First, the…

系统与控制 · 计算机科学 2014-02-17 Ali Al-Matouq , Tyrone Vincent

In this paper, we study joint state and parameter estimation for general nonlinear systems with uncertain parameters and persistent process and measurement noise. In particular, we are interested in stability properties of the resulting…

系统与控制 · 电气工程与系统科学 2025-11-25 Simon Muntwiler , Johannes Köhler , Melanie N. Zeilinger

This work proposes an event-triggered moving horizon estimation (ET-MHE) scheme for general nonlinear systems. The key components of the proposed scheme are a novel event-triggering mechanism (ETM) and the suitable design of the MHE cost…

系统与控制 · 电气工程与系统科学 2025-06-06 Isabelle Krauss , Julian D. Schiller , Victor G. Lopez , Matthias A. Müller

This paper introduces a data-based moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems. The scheme solely relies on collected data without employing any system identification step. Robust global…

系统与控制 · 电气工程与系统科学 2022-04-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

In this work, we propose an event-triggered moving horizon estimation (ET-MHE) scheme for the remote state estimation of general nonlinear systems. In the presented method, whenever an event is triggered, a single measurement is transmitted…

系统与控制 · 电气工程与系统科学 2026-04-27 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

In this paper, we propose a sample-based moving horizon estimation (MHE) scheme for general nonlinear systems to estimate the current system state using irregularly and/or infrequently available measurements. The cost function of the MHE…

系统与控制 · 电气工程与系统科学 2026-03-24 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

This paper presents a robust moving horizon estimation (MHE) approach with provable estimation error bounds for solving the simultaneous localization and mapping (SLAM) problem. We derive sufficient conditions to guarantee robust stability…

系统与控制 · 电气工程与系统科学 2024-11-21 Jelena Trisovic , Alexandre Didier , Simon Muntwiler , Melanie N. Zeilinger

In this paper, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme which employs a proximity-based formulation of the underlying…

最优化与控制 · 数学 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

Accurate power system state estimation (PSSE) is an essential prerequisite for reliable operation of power systems. Different from static PSSE, dynamic PSSE can exploit past measurements based on a dynamical state evolution model, offering…

系统与控制 · 计算机科学 2016-11-18 Gang Wang , Seung-Jun Kim , Georgios B. Giannakis

In this paper, partition-based distributed state estimation of general linear systems is considered. A distributed moving horizon state estimation scheme is developed via decomposing the entire system model into subsystem models and…

系统与控制 · 电气工程与系统科学 2024-04-11 Xiaojie Li , Song Bo , Yan Qin , Xunyuan Yin

The paper addresses state estimation for linear discrete-time systems with binary (threshold) measurements. A Moving Horizon Estimation (MHE) approach is followed and different estimators, characterized by two different choices of the cost…

系统与控制 · 计算机科学 2018-04-05 Giorgio Battistelli , Luigi Chisci , Stefano Gherardini
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