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Related papers: Nonlinear Moving-Horizon Estimation Using State- a…

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MPC is widely used in real-time applications, but practical implementations are typically restricted to convex QP formulations to ensure fast and certified execution. Koopman-based MPC enables QP-based control of nonlinear systems by…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Liang Wu , Wallace Gian Yion Tan , Leqi Zhou , Richard D. Braatz , Jan Drgona

The accuracy of moving horizon estimation (MHE) suffers significantly in the presence of measurement outliers. Existing methods address this issue by treating measurements leading to large MHE cost function values as outliers, which are…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Wenhan Cao , Chang Liu , Zhiqian Lan , Shengbo Eben Li , Wei Pan , Angelo Alessandri

Nonlinear differential equations are encountered as models of fluid flow, spiking neurons, and many other systems of interest in the real world. Common features of these systems are that their behaviors are difficult to describe exactly and…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zexin Sun , Mingyu Chen , John Baillieul

This paper describes a method for the online state estimation of systems described by a general class of linear noncausal time-varying difference descriptor equations subject to uncertainties. The method is based on the notions of a linear…

Optimization and Control · Mathematics 2007-11-09 Serhiy M. Zhuk

One of the key challenges in identifying nonlinear and possibly non-Gaussian state space models (SSMs) is the intractability of estimating the system state. Sequential Monte Carlo (SMC) methods, such as the particle filter (introduced more…

This paper proposes a new state estimator for discrete-time nonlinear dynamical systems with unknown-but-bounded uncertainties and state linear inequality and nonlinear equality constraints. Our algorithm is based on constrained zonotopes…

Optimization and Control · Mathematics 2022-11-14 Alesi A. de Paula , Davide M. Raimondo , Guilherme V. Raffo , Bruno O. S. Teixeira

In dense traffic scenarios, ensuring safety while keeping high task performance for autonomous driving is a critical challenge. To address this problem, this paper proposes a computationally-efficient spatiotemporal receding horizon control…

Robotics · Computer Science 2024-05-28 Lei Zheng , Rui Yang , Zengqi Peng , Michael Yu Wang , Jun Ma

In this paper we address the problem of designing receding horizon control algorithms for linear discrete-time systems with parametric uncertainty. We do not consider presence of stochastic forcing or process noise in the system. It is…

Optimization and Control · Mathematics 2014-02-20 Raktim Bhattacharya , James Fisher

We propose a three-tier machine learning framework based on the next-generation Equation-Free algorithm for learning the spatio-temporal dynamics of mass-constrained complex systems with hidden states, whose dynamics can in principle be…

Numerical Analysis · Mathematics 2026-02-10 Gianmaria Viola , Alessandro Della Pia , Lucia Russo , Ioannis Kevrekidis , Constantinos Siettos

We present a nonlinear dynamical approximation method for time-dependent Partial Differential Equations (PDEs). The approach makes use of parametrized decoder functions, and provides a general, and principled way of understanding and…

Numerical Analysis · Mathematics 2025-05-20 Daan Bon , Benjamin Caris , Olga Mula

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Jakub Matousek , Jindrich Dunik , Marek Brandner , Chan Gook Park , Yeongkwon Choe

This paper proposes a primal-dual framework to learn a stable estimator for linear constrained estimation problems leveraging the moving horizon approach. To avoid the online computational burden in most existing methods, we learn a…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Wenhan Cao , Jingliang Duan , Shengbo Eben Li , Chen Chen , Chang Liu , Yu Wang

Stochastic state estimation methods for continuum robots (CRs) often struggle to balance accuracy and computational efficiency. While several recent works have explored sliding-window formulations for CRs, these methods are limited to…

Robotics · Computer Science 2026-05-29 Spencer Teetaert , Sven Lilge , Jessica Burgner-Kahrs , Timothy D. Barfoot

This paper introduces a Fault Diagnosis (Detection, Isolation, and Estimation) method using Set-Membership Estimation (SME) designed for a class of nonlinear systems that are linear to the fault parameters. The methodology advances fault…

Robotics · Computer Science 2024-11-06 A. Tsolakis , L. Ferranti , V. Reppa

This study introduces a novel methodology for controlling Quadrotor Unmanned Aerial Vehicles, focusing on Hierarchical Sliding Mode Control strategies and an Extended Kalman Filter. Initially, an EKF is proposed to enhance robustness in…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Van Chung Nguyen , Hung Manh La

The use of Kalman filtering, as well as its nonlinear extensions, for the estimation of system variables and parameters has played a pivotal role in many fields of scientific inquiry where observations of the system are restricted to a…

Dynamical Systems · Mathematics 2017-02-15 Joseph Arthur , Adam Attarian , Franz Hamilton , Hien Tran

Angular velocity estimation is critical for eddy current de-tumbling of noncooperative space targets. However, unknown model of the noncooperative target and few observation data make the model-based estimation methods challenged. In this…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Xiyao Liu , Haitao Chang , Fei Hui , Zhenyu Lu , Yizhai Zhang , Panfeng Huang

This paper considers the Linear Minimum Variance recursive state estimation for the linear discrete time dynamic system with random state transition and measurement matrices, i.e., random parameter matrices Kalman filtering. It is shown…

Information Theory · Computer Science 2007-07-13 Dandan Luo , Yunmin Zhu

In this paper, we consider the filtering and smoothing recursions in nonparametric finite state space hidden Markov models (HMMs) when the parameters of the model are unknown and replaced by estimators. We provide an explicit and time…

Statistics Theory · Mathematics 2015-07-24 Yohann De Castro , Elisabeth Gassiat , Sylvain Le Corff

In this paper, we address the problem of uncertainty propagation through nonlinear stochastic dynamical systems. More precisely, given a discrete-time continuous-state probabilistic nonlinear dynamical system, we aim at finding the sequence…

Systems and Control · Electrical Eng. & Systems 2021-02-01 Ashkan Jasour , Allen Wang , Brian C. Williams
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