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Modern aerospace guidance systems demand rigorous constraint satisfaction, optimal performance, and computational efficiency. Traditional analytical methods struggle to simultaneously satisfy these requirements. While data driven methods…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Han Wang , Donghe Chen , Tengjie Zheng , Lin Cheng , Shengping Gong

Towards bridging classical optimal control and online learning, regret minimization has recently been proposed as a control design criterion. This competitive paradigm penalizes the loss relative to the optimal control actions chosen by a…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate

We consider the problem of simultaneous control and parameter estimation when the model is available only as a differentiable physics simulator. We propose a receding-horizon control framework in which a model predictive control (MPC)…

Optimization and Control · Mathematics 2026-04-07 Alan Williams , Alp Sunol

Modelling robot dynamics accurately is essential for control, motion optimisation and safe human-robot collaboration. Given the complexity of modern robotic systems, dynamics modelling remains non-trivial, mostly in the presence of…

Robotics · Computer Science 2022-05-11 David Jorge , Gabriella Pizzuto , Michael Mistry

This paper investigates gradient-based adaptive prediction and control for nonlinear stochastic dynamical systems under a weak convexity condition on the prediction-based loss. This condition accommodates a broad range of nonlinear models…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Yujing Liu , Xin Zheng , Zhixin Liu , Lei Guo

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…

Optimization and Control · Mathematics 2025-10-08 Yassine Kebbati , Andreas Rauh , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

This paper presents a data-driven receding horizon control framework for discrete-time linear systems that guarantees robust performance in the presence of bounded disturbances. Unlike the majority of existing data-driven predictive control…

Optimization and Control · Mathematics 2025-10-08 Jian Zheng , Sahand Kiani , Mario Sznaier , Constantino Lagoa

Although machine learning is increasingly applied in control approaches, only few methods guarantee certifiable safety, which is necessary for real world applications. These approaches typically rely on well-understood learning algorithms,…

Machine Learning · Computer Science 2020-06-16 Armin Lederer , Markus Kessler , Sandra Hirche

Gaussian processes (GPs) have been proven to be powerful tools in various areas of machine learning. However, there are very few applications of GPs in the scenario of multi-view learning. In this paper, we present a new GP model for…

Machine Learning · Statistics 2017-01-18 Qiuyang Liu , Shiliang Sun

Motion systems are often subject to disturbances such as cogging, commutation errors, and imbalances, that vary with velocity and appear periodic in time for constant operating velocities. The aim of this paper is to develop a repetitive…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Noud Mooren , Gert Witvoet , Tom Oomen

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Gaussian processes~(Kriging) are interpolating data-driven models that are frequently applied in various disciplines. Often, Gaussian processes are trained on datasets and are subsequently embedded as surrogate models in optimization…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Daniel Grothe , Tim Kerkenhoff , Xiaopeng Lin , Jaromil Najman , Alexander Mitsos

We propose the multistep port-Hamiltonian Gaussian process (MS-PHS GP) to learn physically consistent continuous-time dynamics and a posterior over the Hamiltonian from noisy, irregularly-sampled trajectories. By placing a GP prior on the…

Machine Learning · Computer Science 2025-10-07 Chi Ho Leung , Philip E. Paré

Projected Gradient Descent denotes a class of iterative methods for solving optimization programs. Its applicability to convex optimization programs has gained significant popularity for its intuitive implementation that involves only…

Optimization and Control · Mathematics 2016-10-24 Giampaolo Torrisi , Sergio Grammatico , Roy S. Smith , Manfred Morari

We propose a method of approximating multivariate Gaussian probabilities using dynamic programming. We show that solving the optimization problem associated with a class of discrete-time finite horizon Markov decision processes with…

Optimization and Control · Mathematics 2018-02-08 Morgan Jones , Matthew M. Peet

The approximate nonlinear receding-horizon control law is used to treat the trajectory tracking control problem of rigid link robot manipulators. The derived nonlinear predictive law uses a quadratic performance index of the predicted…

Robotics · Computer Science 2007-05-23 R. Hedjar , P. Boucher

We propose a principled algorithm for robust Bayesian filtering and smoothing in nonlinear stochastic dynamic systems when both the transition function and the measurement function are described by non-parametric Gaussian process (GP)…

Systems and Control · Computer Science 2012-08-13 Marc Peter Deisenroth , Ryan Turner , Marco F. Huber , Uwe D. Hanebeck , Carl Edward Rasmussen

In this paper, online convex optimization is applied to the problem of controlling linear dynamical systems. An algorithm similar to online gradient descent, which can handle time-varying and unknown cost functions, is proposed. Then,…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

This paper proposes a novel framework for addressing the challenge of autonomous overtaking and obstacle avoidance, which incorporates the overtaking path planning into Gaussian Process-based model predictive control (GPMPC). Compared with…

Robotics · Computer Science 2021-01-26 Wenjun Liu , Chang Liu , Guang Chen , Peng Hang , Alois Knoll

We develop a simulation-based method for the online updating of Gaussian process regression and classification models. Our method exploits sequential Monte Carlo to produce a fast sequential design algorithm for these models relative to the…

Computation · Statistics 2010-07-07 Robert B. Gramacy , Nicholas G. Polson