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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

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

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

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

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

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…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function. Additionally, we introduce linear matrix inequalities (LMIs) to verify the necessary incremental input/output-to-state stability…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Julian D. Schiller , Simon Muntwiler , Johannes Köhler , Melanie N. Zeilinger , Matthias A. Müller

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

In this paper, a robust data-driven moving horizon estimation (MHE) scheme for linear time-invariant discrete-time systems is introduced. The scheme solely relies on offline collected data without employing any system identification step.…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

This paper considers state estimation for general nonlinear discrete-time systems subject to measurement noise and possibly unbounded unknown inputs. To approach this problem, we first propose the concept of strong nonlinear detectability.…

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

This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution…

Dynamical Systems · Mathematics 2015-03-18 Wuhua Hu , Lihua Xie , Keyou You

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

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…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Simon Muntwiler , Johannes Köhler , Melanie N. Zeilinger

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,…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Yujia Yang , Chris Manzie , Ye Pu

In this paper, we propose a novel Gaussian process-based moving horizon estimation (MHE) framework for unknown nonlinear systems. On the one hand, we approximate the system dynamics by the posterior means of the learned Gaussian processes…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

In this paper, we introduce a Gaussian process based moving horizon estimation (MHE) framework. The scheme is based on offline collected data and offline hyperparameter optimization. In particular, compared to standard MHE schemes, we…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

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

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

In this paper, the robust stability and convergence to the true state of moving horizon estimator based on an adaptive arrival cost are established for nonlinear detectable systems. Robust global asymptotic stability is shown for the case…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Nestor N. Deniz , Marina H. Murillo , Guido Sanchez , Lucas M. Genzelis , Leonardo Giovanini

This paper addresses state estimation of linear systems with special attention on unknown process and measurement noise covariances, aiming to enhance estimation accuracy while preserving the stability guarantee of the Kalman filter. To…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Xiangxiang Dong , Giorgio Battistelli , Luigi Chisci , Yunze Cai
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