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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…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Marcello Farina , Giancarlo Ferrari-Trecate , Riccardo Scattolini

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…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Isabelle Krauss , Victor G. Lopez , 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…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Simon Muntwiler , Kim P. Wabersich , Melanie N. Zeilinger

We propose a moving horizon estimation (MHE) scheme for general nonlinear constrained systems with parametric or static nonlinear uncertainties and a predetermined state feedback controller that is assumed to robustly stabilize the system…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yang Guo , Stefan Streif

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…

Optimization and Control · Mathematics 2017-09-27 Wuhua Hu

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…

Systems and Control · Computer Science 2018-04-05 Giorgio Battistelli , Luigi Chisci , Stefano Gherardini

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…

Systems and Control · Computer Science 2014-02-17 Ali Al-Matouq , Tyrone Vincent

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…

Systems and Control · Electrical Eng. & Systems 2024-04-11 Xiaojie Li , Song Bo , Yan Qin , Xunyuan Yin

Robust stability of moving-horizon estimators is investigated for nonlinear discrete-time systems that are detectable in the sense of incremental input/output-to-state stability and are affected by disturbances. The estimate of a…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Angelo Alessandri

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…

Optimization and Control · Mathematics 2021-11-09 Meriem Gharbi , Bahman Gharesifard , Christian Ebenbauer

In this paper, we propose a suboptimal moving horizon estimator for a general class of nonlinear systems. For the stability analysis, we transfer the "feasibility-implies-stability/robustness" paradigm from model predictive control to the…

Systems and Control · Electrical Eng. & Systems 2022-07-18 Julian D. Schiller , 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…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

We consider a moving horizon estimation (MHE) scheme involving a discounted least squares objective for general nonlinear continuous-time systems. Provided that the system is detectable (incrementally integral input/output-to-state stable,…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Julian D. Schiller , Matthias A. Müller

We propose a suboptimal moving horizon estimation (MHE) scheme for a general class of nonlinear systems. To this end, we consider an MHE formulation that optimizes over the trajectory of a robustly stable observer. Assuming that the…

Systems and Control · Electrical Eng. & Systems 2022-07-18 Julian D. Schiller , Boyang Wu , Matthias A. Müller

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,…

Optimization and Control · Mathematics 2022-03-29 Wuhua Hu

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.…

Optimization and Control · Mathematics 2023-06-26 Tianchen Liu , Kushal Chakrabarti , Nikhil Chopra

This paper presents a state- and control-dependent moving-horizon estimation (SCD-MHE) algorithm for nonlinear discrete-time systems. Within this framework, a pseudo-linear representation of nonlinear dynamics is leveraged utilizing state-…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Mohammadreza Kamaldar

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…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Isabelle Krauss , Julian D. Schiller , Victor G. Lopez , Matthias A. Müller

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…

Optimization and Control · Mathematics 2019-12-20 Vishaal Krishnan , Sonia Martínez

This paper presents an open-source miniature car-like robot with low-cost sensing and a pipeline for optimization-based system identification, state estimation, and control. The overall robotics platform comes at a cost of less than \$\,700…

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