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The neural moving horizon estimator (NMHE) is a relatively new and powerful state estimator that combines the strengths of neural networks (NNs) and model-based state estimation techniques. Various approaches exist for constructing NMHEs,…

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…

Systems and Control · Computer Science 2016-11-18 Gang Wang , Seung-Jun Kim , Georgios B. Giannakis

In this work, an innovative data-driven moving horizon state estimation is proposed for model dynamic-unknown systems based on Bayesian optimization. As long as the measurement data is received, a locally linear dynamics model can be…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Qing Sun , Shuai Niu , Minrui Fei

This paper formalises the concepts of weakly and weakly regularly persistent input trajectory as well as their link to the Observability Grammian and the existence and uniqueness of solutions of Moving Horizon Estimation (MHE) problems.…

Optimization and Control · Mathematics 2023-06-12 Emilien Flayac , Iman Shames

Moving Horizon Estimation~(MHE) is essentially an optimization-based approach designed to estimate the states of dynamic systems within a moving time horizon. Traditional MHE solutions become computationally prohibitive due to the…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Shuting Wu , Yifei Wang , Jingzhe Wang , Apostolos I. Rikos , Xu Du

In this paper, we consider distributed simultaneous state and parameter estimation for a class of nonlinear systems, for which the augmented model comprising both the states and the parameters is only partially observable. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Siyu Liu , Xunyuan Yin , Jinfeng Liu , Feng Ding

In this paper, we present a new approach to distributed moving horizon estimation for constrained nonlinear processes. The method involves approximating the arrival costs of local estimators through a recursive framework. First, distributed…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Xiaojie Li , Xunyuan Yin

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

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 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, we propose a moving horizon estimation (MHE)-based training method for feedforward neural networks (FNNs) with rectified linear unit (ReLU) activation functions to determine their ideal weights from a control-theoretic…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Yi Yang , Victor G. Lopez , Matthias A. Müller

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

When measurements from dynamical systems are noisy, it is useful to have estimation algorithms that have low sensitivity to measurement noises and outliers. In the first set of results described in this paper we obtain optimal estimators…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Krishan Mohan Nagpal

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

We propose a moving horizon estimation scheme for joint state and parameter estimation for nonlinear uncertain discrete-time systems. We establish robust exponential convergence of the combined estimation error subject to process…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Julian D. Schiller , Matthias A. Müller

In this paper, we develop novel accuracy and performance guarantees for optimal state estimation of general nonlinear systems (in particular, moving horizon estimation, MHE). Our results rely on a turnpike property of the optimal state…

Optimization and Control · Mathematics 2025-01-31 Julian D. Schiller , Lars Grüne , and Matthias A. Müller

In this paper, we propose time-discounted schemes for full information estimation (FIE) and moving horizon estimation (MHE) that are robustly globally asymptotically stable (RGAS). We consider general nonlinear system dynamics with…

Systems and Control · Electrical Eng. & Systems 2023-01-20 Sven Knuefer , Matthias A. Mueller

The control of field robots in varying and uncertain terrain conditions presents a challenge for autonomous navigation. Online estimation of the wheel-terrain slip characteristics is essential for generating the accurate control predictions…

Robotics · Computer Science 2018-10-11 Nathan Wallace , He Kong , Andrew Hill , Salah Sukkarieh

This paper introduces a novel optimization-based approach for parametric nonlinear system identification. Building upon the prediction error method framework, traditionally used for linear system identification, we extend its capabilities…

Optimization and Control · Mathematics 2024-03-27 Léo Simpson , Jonas Asprion , Simon Muntwiler , Johannes Köhler , Moritz Diehl

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal