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Learning-based model predictive control (LBMPC) is a technique that provides deterministic guarantees on robustness, while statistical identification tools are used to identify richer models of the system in order to improve performance.…

最优化与控制 · 数学 2012-08-07 Anil Aswani , Humberto Gonzalez , S. Shankar Sastry , Claire Tomlin

In this paper a novel model-free algorithm is proposed. This algorithm can learn the nearly optimal control law of constrained-input systems from online data without requiring any a priori knowledge of system dynamics. Based on the concept…

系统与控制 · 电气工程与系统科学 2022-05-03 Han Zhao , Lei Guo

We present a model predictive control (MPC) formulation to directly optimize economic criteria for linear constrained systems subject to disturbances and uncertain model parameters. The proposed formulation combines a certainty equivalent…

系统与控制 · 电气工程与系统科学 2024-09-11 Maximilian Degner , Raffaele Soloperto , Melanie N. Zeilinger , John Lygeros , Johannes Köhler

We study finite-time horizon continuous-time linear-convex reinforcement learning problems in an episodic setting. In this problem, the unknown linear jump-diffusion process is controlled subject to nonsmooth convex costs. We show that the…

最优化与控制 · 数学 2022-03-03 Xin Guo , Anran Hu , Yufei Zhang

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

最优化与控制 · 数学 2019-03-20 Roja Eini , Sherif Abdelwahed

We develop a finite-dimensional sensitivity framework for studying stability in learning systems whose states include representations, parameters, and update variables. The central object is the \emph{Learning Stability Profile}, a…

机器学习 · 计算机科学 2026-05-26 Ronald Katende

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

最优化与控制 · 数学 2016-11-09 Xuhui Feng , Boris Houska

This paper presents a robust economic model predictive control (EMPC) formulation with zone tracking for discrete-time uncertain nonlinear systems. The proposed design ensures that the zone tracking objective is achieved in finite steps and…

系统与控制 · 电气工程与系统科学 2021-09-22 Benjamin Decardi-Nelson , Jinfeng Liu

This article presents a novel class of control policies for networked control of Lyapunov-stable linear systems with bounded inputs. The control channel is assumed to have i.i.d. Bernoulli packet dropouts and the system is assumed to be…

最优化与控制 · 数学 2017-11-27 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

系统与控制 · 电气工程与系统科学 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

A method is developed to numerically solve chance constrained optimal control problems. The chance constraints are reformulated as nonlinear constraints that retain the probability properties of the original constraint. The reformulation…

最优化与控制 · 数学 2020-05-29 Rachel E. Keil , Alexander T. Miller , Mrinal Kumar , Anil V. Rao

Regularized empirical risk minimization including support vector machines plays an important role in machine learning theory. In this paper regularized pairwise learning (RPL) methods based on kernels will be investigated. One example is…

统计理论 · 数学 2015-10-13 Andreas Christmann , Ding-Xuan Zhou

Robots executing iterative tasks in complex, uncertain environments require control strategies that balance robustness, safety, and high performance. This paper introduces a safe information-theoretic learning model predictive control…

机器人学 · 计算机科学 2026-02-19 Zirui Zang , Ahmad Amine , Nick-Marios T. Kokolakis , Truong X. Nghiem , Ugo Rosolia , Rahul Mangharam

Learning-based control has attracted significant attention in recent years, especially for plants that are difficult to model based on first-principles. A key issue in learning-based control is how to make efficient use of data as the…

系统与控制 · 电气工程与系统科学 2025-08-05 Kaikai Zheng , Dawei Shi , Sandra Hirche , Yang Shi

We introduce a framework for calibrating machine learning models so that their predictions satisfy explicit, finite-sample statistical guarantees. Our calibration algorithms work with any underlying model and (unknown) data-generating…

机器学习 · 计算机科学 2022-10-03 Anastasios N. Angelopoulos , Stephen Bates , Emmanuel J. Candès , Michael I. Jordan , Lihua Lei

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

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

最优化与控制 · 数学 2023-03-08 Xiaonan Lu , Mark Cannon

We study parameterizations of stabilizing nonlinear policies for learning-based control. We propose a structure based on a nonlinear version of the Youla-Kucera parameterization combined with robust neural networks such as the recurrent…

系统与控制 · 电气工程与系统科学 2025-06-05 Nicholas H. Barbara , Ruigang Wang , Alexandre Megretski , Ian R. Manchester

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Model predictive control (MPC) is increasingly being considered for control of fast systems and embedded applications. However, the MPC has some significant challenges for such systems. Its high computational complexity results in high…

系统与控制 · 电气工程与系统科学 2024-10-28 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen