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Stability under model predictive control (MPC) schemes is frequently ensured by terminal ingredients. Employing a (control) Lyapunov function as the terminal cost constitutes a common choice. Learning-based methods may be used to construct…

系统与控制 · 电气工程与系统科学 2022-12-02 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif

In many applications of optimal control, the stage cost is not fixed, but rather a design choice with considerable impact on the control performance. In infinite horizon optimal control, the choice of stage cost is often restricted by the…

最优化与控制 · 数学 2022-07-13 Christian Fiedler , Sebastian Trimpe

The problem of continuous inverse optimal control (over finite time horizon) is to learn the unknown cost function over the sequence of continuous control variables from expert demonstrations. In this article, we study this fundamental…

机器学习 · 计算机科学 2022-04-20 Yifei Xu , Jianwen Xie , Tianyang Zhao , Chris Baker , Yibiao Zhao , Ying Nian Wu

With a growing interest in data-driven control techniques, Model Predictive Control (MPC) provides an opportunity to exploit the surplus of data reliably, particularly while taking safety and stability into account. In many real-world and…

人工智能 · 计算机科学 2021-06-04 Mayank Mittal , Marco Gallieri , Alessio Quaglino , Seyed Sina Mirrazavi Salehian , Jan Koutník

Reinforcement learning suffers from limitations in real practices primarily due to the number of required interactions with virtual environments. It results in a challenging problem because we are implausible to obtain a local optimal…

机器学习 · 计算机科学 2024-10-28 Qizhen Wu , Kexin Liu , Lei Chen

A self-learning optimal control algorithm for episodic fixed-horizon manufacturing processes with time-discrete control actions is proposed and evaluated on a simulated deep drawing process. The control model is built during consecutive…

系统与控制 · 计算机科学 2020-01-07 Johannes Dornheim , Norbert Link , Peter Gumbsch

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

系统与控制 · 电气工程与系统科学 2022-09-09 Lukas Beckenbach , Stefan Streif

This paper addresses the inverse optimal control problem of finding the state weighting function that leads to a quadratic value function when the cost on the input is fixed to be quadratic. The paper focuses on a class of infinite horizon…

最优化与控制 · 数学 2022-11-21 Luis Rodrigues

Model-free algorithms are brought into the control system's research with the emergence of reinforcement learning algorithms. However, there are two practical challenges of reinforcement learning-based methods. First, learning by…

系统与控制 · 电气工程与系统科学 2024-09-18 Mi Zhou , Erik Verriest , Chaouki Abdallah

Model-based reinforcement learning techniques accelerate the learning task by employing a transition model to make predictions. In this paper, a model-based learning approach is presented that iteratively computes the optimal value function…

最优化与控制 · 数学 2020-10-22 Milad Farsi , Jun Liu

Although recent model-free reinforcement learning algorithms have been shown to be capable of mastering complicated decision-making tasks, the sample complexity of these methods has remained a hurdle to utilizing them in many real-world…

机器学习 · 计算机科学 2020-04-21 Saeed Moazami , Peggy Doerschuk

This work proposes an approach that integrates reinforcement learning and model predictive control (MPC) to solve finite-horizon optimal control problems in mixed-logical dynamical systems efficiently. Optimization-based control of such…

系统与控制 · 电气工程与系统科学 2025-04-15 Caio Fabio Oliveira da Silva , Azita Dabiri , Bart De Schutter

This paper presents an interpretable reward design framework for reinforcement learning based constrained optimal control problems with state and terminal constraints. The problem is formalized within a standard partially observable Markov…

系统与控制 · 电气工程与系统科学 2025-03-05 Jingjie Ni , Fangfei Li , Xin Jin , Xianlun Peng , Yang Tang

This paper provides an approximate online adaptive solution to the infinite-horizon optimal tracking problem for control-affine continuous-time nonlinear systems with unknown drift dynamics. Model-based reinforcement learning is used to…

系统与控制 · 计算机科学 2017-07-25 Rushikesh Kamalapurkar , Lindsey Andrews , Patrick Walters , Warren E. Dixon

Complex planning and scheduling problems have long been solved using various optimization or heuristic approaches. In recent years, imitation learning that aims to learn from expert demonstrations has been proposed as a viable alternative…

机器学习 · 计算机科学 2024-05-24 Qian Shao , Pradeep Varakantham , Shih-Fen Cheng

In this paper, we propose a model-free adaptive learning solution for a model-following control problem. This approach employs policy iteration, to find an optimal adaptive control solution. It utilizes a moving finite-horizon of…

系统与控制 · 电气工程与系统科学 2023-02-07 Mohammed I. Abouheaf , Hashim A. Hashim , Mohammad A. Mayyas , Kyriakos G. Vamvoudakis

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

系统与控制 · 电气工程与系统科学 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

Recent advances in the reinforcement learning (RL) literature have enabled roboticists to automatically train complex policies in simulated environments. However, due to the poor sample complexity of these methods, solving RL problems using…

机器人学 · 计算机科学 2022-11-21 Tyler Westenbroek , Fernando Castaneda , Ayush Agrawal , Shankar Sastry , Koushil Sreenath

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

最优化与控制 · 数学 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori…

最优化与控制 · 数学 2015-03-19 Thomas Jahn , Jürgen Pannek
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