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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 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

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

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

We provide a solution to the problem of receding horizon control for stochastic discrete-time systems with bounded control inputs and imperfect state measurements. For a suitable choice of control policies, we show that the finite-horizon…

Optimization and Control · Mathematics 2010-04-15 Peter Hokayem , Eugenio Cinquemani , Debasish Chatterjee , Federico Ramponi , John Lygeros

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 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

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

We introduce the receding-horizon policy gradient (RHPG) algorithm, the first PG algorithm with provable global convergence in learning the optimal linear estimator designs, i.e., the Kalman filter (KF). Notably, the RHPG algorithm does not…

Optimization and Control · Mathematics 2023-09-12 Xiangyuan Zhang , Saviz Mowlavi , Mouhacine Benosman , Tamer Başar

In this paper, we propose a data-enabled moving horizon estimation (MHE) approach for a class of nonlinear systems without explicit modeling, by leveraging Koopman operator theory and Willems fundamental lemma. Specifically, the nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Xiaojie Li , Xunyuan Yin

In Moving Horizon Estimation (MHE) the computed estimate is found by solving a constrained finite-time optimal estimation problem in real-time at each sample in a receding horizon fashion. The constrained estimation problem can be solved…

Optimization and Control · Mathematics 2015-10-22 Isak Nielsen , Daniel Axehill

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

Adequate therapeutic retinal laser irradiation needs to be adapted to the local absorption. This leads to time-consuming treatments as the laser power needs to be successively adjusted to avoid under- and overtreatment caused by too low or…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Viktoria Kleyman , Manuel Schaller , Mario Mordmuller , Mitsuru Wilson , Ralf Brinkmann , Karl Worthmann , Matthias A. Muller

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

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

Optimisation-based algorithms known as Moving Horizon Estimator (MHE) have been developed through the years. This paper illustrates the implementation of the policy introduced in the companion paper submitted to the 18th IFAC Workshop on…

Optimization and Control · Mathematics 2022-04-21 Federico Oliva , Daniele Carnevale

Recursive estimates of large systems of equations in the context of least squares fitting is a common practice in different fields of study. For example, recursive adaptive filtering is extensively used in signal processing and control…

Numerical Analysis · Mathematics 2018-01-04 Nasser Kazemi , Mauricio Sacchi

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

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

Estimating and reacting to external disturbances is of fundamental importance for robust control of quadrotors. Existing estimators typically require significant tuning or training with a large amount of data, including the ground truth, to…

Robotics · Computer Science 2022-05-31 Bingheng Wang , Zhengtian Ma , Shupeng Lai , Lin Zhao , Tong Heng Lee
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