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We study the problem of offline imitation learning in Markov decision processes (MDPs), where the goal is to learn a well-performing policy given a dataset of state-action pairs generated by an expert policy. Complementing a recent line of…

Machine Learning · Computer Science 2026-01-09 Antoine Moulin , Gergely Neu , Luca Viano

This paper presents an adaptive tracking model predictive control (MPC) scheme to control unknown nonlinear systems based on an adaptively estimated linear model. The model is determined based on linear system identification using a moving…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Tatiana Strelnikova , Johannes Köhler , Julian Berberich

Model Predictive Control (MPC) represents nowadays one of the main methods employed for process control in industry. Its strong suits comprise a simple algorithm based on a straightforward formulation and the flexibility to deal with…

Optimization and Control · Mathematics 2018-04-23 Alberto Zenere , Mattia Zorzi

Reinforcement Learning (RL) has demonstrated a huge potential in learning optimal policies without any prior knowledge of the process to be controlled. Model Predictive Control (MPC) is a popular control technique which is able to deal with…

Systems and Control · Computer Science 2019-04-10 Mario Zanon , Sébastien Gros , Alberto Bemporad

Mixed observable Markov decision processes (MOMDPs) are a modeling framework for autonomous systems described by both fully and partially observable states. In this work, we study the problem of synthesizing a control policy for MOMDPs that…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Ugo Rosolia , Mohamadreza Ahmadi , Richard M. Murray , Aaron D. Ames

We present a dual Model Predictive Control (MPC) framework for the simultaneous identification and control of quasi-Linear Parameter Varying (qLPV) systems. The framework is composed of an online estimator for the states and parameters of…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Sampath Kumar Mulagaleti , Alberto Bemporad

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

Optimization and Control · Mathematics 2022-06-07 Hyeong Soo Chang

Cloud computing creates new possibilities for control applications by offering powerful computation and storage capabilities. In this paper, we propose a novel cloud-assisted model predictive control (MPC) framework in which we…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Nan Li , Kaixiang Zhang , Zhaojian Li , Vaibhav Srivastava , Xiang Yin

In this technical note we analyse the performance improvement and optimality properties of the Learning Model Predictive Control (LMPC) strategy for linear deterministic systems. The LMPC framework is a policy iteration scheme where…

Optimization and Control · Mathematics 2022-02-02 Ugo Rosolia , Yingzhao Lian , Emilio T. Maddalena , Giancarlo Ferrari-Trecate , Colin N. Jones

Without exact knowledge of the true system dynamics, optimal control of non-linear continuous-time systems requires careful treatment under epistemic uncertainty. In this work, we translate a probabilistic interpretation of the Pontryagin…

Machine Learning · Computer Science 2025-09-03 David Leeftink , Çağatay Yıldız , Steffen Ridderbusch , Max Hinne , Marcel van Gerven

Many robotics problems, from robot motion planning to object manipulation, can be modeled as mixed-integer convex programs (MICPs). However, state-of-the-art algorithms are still unable to solve MICPs for control problems quickly enough for…

Robotics · Computer Science 2021-07-20 A. Cauligi , P. Culbertson , E. Schmerling , M. Schwager , B. Stellato , M. Pavone

Model Predictive Control has been recently proposed as policy approximation for Reinforcement Learning, offering a path towards safe and explainable Reinforcement Learning. This approach has been investigated for Q-learning and actor-critic…

Systems and Control · Electrical Eng. & Systems 2020-04-06 Sebastien Gros , Mario Zanon

Discrete time stochastic optimal control problems and Markov decision processes (MDPs), respectively, serve as fundamental models for problems that involve sequential decision making under uncertainty and as such constitute the theoretical…

Optimization and Control · Mathematics 2023-03-08 Christian Beck , Arnulf Jentzen , Konrad Kleinberg , Thomas Kruse

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We present an Imitation Learning approach for the control of dynamical systems with a known model. Our policy search method is guided by solutions from MPC. Typical policy search methods of this kind minimize a distance metric between the…

Robotics · Computer Science 2020-02-18 Jan Carius , Farbod Farshidian , Marco Hutter

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

Optimization and Control · Mathematics 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

In this paper, we introduce an actor-critic algorithm called Deep Value Model Predictive Control (DMPC), which combines model-based trajectory optimization with value function estimation. The DMPC actor is a Model Predictive Control (MPC)…

Machine Learning · Computer Science 2019-10-09 Farbod Farshidian , David Hoeller , Marco Hutter

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

Optimization and Control · Mathematics 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

In hybrid Model Predictive Control (MPC), a Mixed-Integer Quadratic Program (MIQP) is solved at each sampling time to compute the optimal control action. Although these optimizations are generally very demanding, in MPC we expect…

Systems and Control · Electrical Eng. & Systems 2020-04-01 Tobia Marcucci , Russ Tedrake

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen
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