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This study conducts a comparative analysis of Model Predictive Control (MPC) and Proximal Policy Optimization (PPO), a Deep Reinforcement Learning (DRL) algorithm, applied to a 1-Degree of Freedom (DOF) Quanser Aero 2 system. Classical…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Georg Schäfer , Jakob Rehrl , Stefan Huber , Simon Hirlaender

Motivated by an energy efficient building application, we want to optimize a quadratic cost functional subject to the Boussinesq approximation of the Navier-Stokes equations and to bilateral state and control constraints. Since the…

Optimization and Control · Mathematics 2021-01-13 Julian Andrej , Lars Grüne , Luca Mechelli , Thomas Meurer , Simon Pirkelmann , Stefan Volkwein

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

We present a method for sampling-based model predictive control that makes use of a generic physics simulator as the dynamical model. In particular, we propose a Model Predictive Path Integral controller (MPPI), that uses the…

Explicit machine learning-based model predictive control (explicit ML-MPC) has been developed to reduce the real-time computational demands of traditional ML-MPC. However, the evaluation of candidate control actions in explicit ML-MPC can…

Optimization and Control · Mathematics 2024-08-14 Wenlong Wang , Haohao Zhang , Yujia Wang , Yuhe Tian , Zhe Wu

State of the art quadrupedal locomotion approaches integrate Model Predictive Control (MPC) with Reinforcement Learning (RL), enabling complex motion capabilities with planning and terrain adaptive behaviors. However, they often face…

Robotics · Computer Science 2026-03-17 Prakrut Kotecha , Aditya Shirwatkar , Shishir Kolathaya

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…

Optimization and Control · Mathematics 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

We introduce a Model Predictive Control (MPC) framework for training deep neural networks, systematically unifying the Back-Propagation (BP) and Forward-Forward (FF) algorithms. At the same time, it gives rise to a range of intermediate…

Machine Learning · Computer Science 2024-10-01 Lianhai Ren , Qianxiao Li

Applications in robotics or other size-, weight- and power-constrained autonomous systems at the edge often require real-time and low-energy solutions to large optimization problems. Event-based and memory-integrated neuromorphic…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Ashish Rao Mangalore , Gabriel Andres Fonseca Guerra , Sumedh R. Risbud , Philipp Stratmann , Andreas Wild

Accurate and efficient thermal dynamics models of permanent magnet synchronous motors are vital to efficient thermal management strategies. Physics-informed methods combine model-based and data-driven methods, offering greater flexibility…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Xinyuan Liao , Shaowei Chen , Shuai Zhao

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

Robotics · Computer Science 2025-11-11 Haotian Tan , Yuan-Hua Ni

In this study, we formulate the drone delivery problem as a control problem and solve it using Model Predictive Control. Two experiments are performed: The first is on a less challenging grid world environment with lower dimensionality, and…

Artificial Intelligence · Computer Science 2025-03-26 Muhammad Al-Zafar Khan , Jamal Al-Karaki

In this paper, we propose a practical primal-dual algorithm with theoretical guarantees and develop a GPU-based solver, which we dub PDOT, for solving large-scale optimal transport problems. Compared to Sinkhorn algorithm or classic LP…

Optimization and Control · Mathematics 2024-07-30 Haihao Lu , Jinwen Yang

We investigate the problem of learning linear quadratic regulators (LQR) in a multi-task, heterogeneous, and model-free setting. We characterize the stability and personalization guarantees of a policy gradient-based (PG) model-agnostic…

Optimization and Control · Mathematics 2024-06-04 Leonardo F. Toso , Donglin Zhan , James Anderson , Han Wang

This paper proposes a robust control strategy that integrates Iterative Learning Control (ILC) with a simple lateral neural network to enhance the trajectory tracking performance of a linear Lorentz force actuator under friction and model…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Ali Mashhadireza , Ali Sadighi

Co-optimization of both vehicle speed and gear position via model predictive control (MPC) has been shown to offer benefits for fuel-efficient autonomous driving. However, optimizing both the vehicle's continuous dynamics and discrete gear…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Samuel Mallick , Gianpietro Battocletti , Qizhang Dong , Azita Dabiri , Bart De Schutter

Dynamic legged locomotion is a challenging topic because of the lack of established control schemes which can handle aerial phases, short stance times, and high-speed leg swings. In this paper, we propose a controller combining whole-body…

Robotics · Computer Science 2019-09-17 Donghyun Kim , Jared Di Carlo , Benjamin Katz , Gerardo Bledt , Sangbae Kim

Solving motion tasks autonomously and accurately is a core ability for intelligent real-world systems. To achieve genuine autonomy across multiple systems and tasks, key challenges include coping with unknown dynamics and overcoming the…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Jan-Hendrik Ewering , Alessandro Papa , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

Robotics · Computer Science 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe