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This paper presents a Gaussian process (GP) model for estimating piecewise continuous regression functions. In scientific and engineering applications of regression analysis, the underlying regression functions are piecewise continuous in…

统计方法学 · 统计学 2021-04-15 Chiwoo Park

Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance. Two key factors that hinder the practical…

系统与控制 · 电气工程与系统科学 2022-11-22 Elena Arcari , Andrea Carron , Melanie N. Zeilinger

Gaussian Process (GP) regressions have proven to be a valuable tool to predict disturbances and model mismatches and incorporate this information into a Model Predictive Control (MPC) prediction. Unfortunately, the computational complexity…

系统与控制 · 电气工程与系统科学 2022-10-17 Niklas Schmid , Jonas Gruner , Hossam S. Abbas , Philipp Rostalski

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

系统与控制 · 计算机科学 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

机器人学 · 计算机科学 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

This paper addresses autonomous racing by introducing a real-time nonlinear model predictive controller (NMPC) coupled with a moving horizon estimator (MHE). The racing problem is solved by an NMPC-based off-line trajectory planner that…

最优化与控制 · 数学 2025-10-08 Yassine Kebbati , Andreas Rauh , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

Inertial-aided systems require continuous motion excitation among other reasons to characterize the measurement biases that will enable accurate integration required for localization frameworks. This paper proposes the use of informative…

机器人学 · 计算机科学 2022-09-13 Mitchell Usayiwevu , Fouad Sukkar , Chanyeol Yoo , Robert Fitch , Teresa Vidal-Calleja

A key challenge in learning-based model predictive control (MPC) is to collect informative data online for model adaptation while ensuring safety and without penalising control performance. In this paper, we propose an online model…

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

系统与控制 · 电气工程与系统科学 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

This paper proposes a novel framework for implicit multi-camera system calibration utilizing Gaussian Process (GP) regression. Conventional explicit calibration methods are constrained by rigid mathematical models and struggle with complex,…

计算机视觉与模式识别 · 计算机科学 2026-05-11 Ivan De Boi , Bart Ribbens , Veronika Golanova , Ursula Kapov , Simon Verspeek

To validate the safety of automated vehicles (AV), scenario-based testing aims to systematically describe driving scenarios an AV might encounter. In this process, continuous inputs such as velocities result in an infinite number of…

机器学习 · 计算机科学 2022-12-08 Max Winkelmann , Mike Kohlhoff , Hadj Hamma Tadjine , Steffen Müller

We present a multi-objective evolutionary optimization algorithm that uses Gaussian process (GP) regression-based models to select trial solutions in a multi-generation iterative procedure. In each generation, a surrogate model is…

神经与进化计算 · 计算机科学 2020-05-22 Xiaobiao Huang , Minghao Song , Zhe Zhang

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

机器人学 · 计算机科学 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

A dual adaptive model predictive control (MPC) algorithm is presented for linear, time-invariant systems subject to bounded disturbances and parametric uncertainty in the state-space matrices. Online set-membership identification is…

系统与控制 · 电气工程与系统科学 2021-02-23 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

In many real world problems, control decisions have to be made with limited information. The controller may have no a priori (or even posteriori) data on the nonlinear system, except from a limited number of points that are obtained over…

最优化与控制 · 数学 2011-05-12 Tansu Alpcan

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This kernel function is typically handcrafted from a small set of…

机器学习 · 计算机科学 2026-02-13 Jihao Andreas Lin , Sebastian Ament , Louis C. Tiao , David Eriksson , Maximilian Balandat , Eytan Bakshy

Gaussian Process (GP) models are a powerful tool in probabilistic machine learning with a solid theoretical foundation. Thanks to current advances, modeling complex data with GPs is becoming increasingly feasible, which makes them an…

机器学习 · 计算机科学 2025-03-04 Sarem Seitz

A new algorithm is developed to tackle the issue of sampling non-Gaussian model parameter posterior probability distributions that arise from solutions to Bayesian inverse problems. The algorithm aims to mitigate some of the hurdles faced…

机器学习 · 统计学 2019-11-19 Leen Alawieh , Jonathan Goodman , John B. Bell

In this research we focus on developing a reinforcement learning system for a challenging task: autonomous control of a real-sized boat, with difficulties arising from large uncertainties in the challenging ocean environment and the…

系统与控制 · 电气工程与系统科学 2024-12-20 Yunduan Cui , Shigeki Osaki , Takamitsu Matsubara

Established techniques for simulation and prediction with Gaussian process (GP) dynamics often implicitly make use of an independence assumption on successive function evaluations of the dynamics model. This can result in significant error…

机器学习 · 计算机科学 2020-05-05 Lukas Hewing , Elena Arcari , Lukas P. Fröhlich , Melanie N. Zeilinger