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We study Transformers through the perspective of optimal control theory, using tools from continuous-time formulations to derive actionable insights into training and architecture design. This framework improves the performance of existing…

Machine Learning · Computer Science 2025-10-27 Kelvin Kan , Xingjian Li , Benjamin J. Zhang , Tuhin Sahai , Stanley Osher , Markos A. Katsoulakis

We present a new framework for prioritized multi-task motion-force control of fully-actuated robots. This work is established on a careful review and comparison of the state of the art. Some control frameworks are not optimal, that is they…

Robotics · Computer Science 2014-10-16 Andrea Del Prete , Francesco Nori , Giorgio Metta , Lorenzo Natale

Predictive Stator Current Control (PSCC) has been proposed for control of multi-phase drives. The flexibility offered by the use of a Cost Function has been used to deal with the increased number of phases. However, tuning of the Weighting…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Manuel R. Arahal , Manuel G. Satué , Kumars Rouzbehi , Francisco Colodro

Biological molecular machines convert free energy between different forms in cells, often at high efficiency. Optimal control theory provides a framework to elucidate design principles governing energetically efficient driving. Here, we use…

Biological Physics · Physics 2025-06-12 W. Callum Wareham , David A. Sivak

Sensorless control of Permanent-Magnet Synchronous Motors at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and…

Optimization and Control · Mathematics 2012-03-27 Al Kassem Jebai , François Malrait , Philippe Martin , Pierre Rouchon

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

Optimal control of a mobile robot system is formulated. Multiobjective criteria of time and energy is employed. The optimal control problem is formulated as a nonlinear programming problem (NLP). The problem is solved using the direct…

Optimization and Control · Mathematics 2013-12-30 Mohamad Shahab , Amar Khoukhi , Fouad Al-Sunni

The transition to electric transportation demands efficient and cost-effective powertrains. Optimizing energy use is crucial for extending range and reducing expenses. However, comparing inverter and motor efficiency based on inverter…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Christoph Sachs , Fabian Stamer , Jan Allgeier , Duleepa Thrimawithana , Martin Neuburger

A new three-phase hybrid-excited multi-tooth switched reluctance motor with embedded permanent magnets is proposed, capable of achieving higher torque density for transportation electrification applications. Operating principles and design…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Gholamreza Davarpanah , Sajjad Mohammadi

Time-optimal control of a multi-rotor remains an open problem due to the under-actuation and nonlinearity of its dynamics, which make it difficult to solve this problem directly. In this paper, the time-optimal control problem of the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yongjie Zheng , Yuqing He , Liying Yang , Hongyu Nie , Chaoxiong Huang , Yiwen Zhao

This paper presents a real time control strategy for energy storage systems integration in electric vehicles fast charging applications combined with generation from intermittent renewable energy sources. A two steps approach taking…

Traffic congestion has dire economic and social impacts in modern metropolitan areas. To address this problem, in this paper we introduce a novel type of model-free transactive controllers to manage vehicle traffic in highway networks for…

Optimization and Control · Mathematics 2022-04-22 Daniel E. Ochoa , Jorge I. Poveda

Optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving…

Quantum Physics · Physics 2015-11-25 M. Hirose , P. Cappellaro

This paper proposes a method for direct torque control of Brushless DC (BLDC) motors. Evaluating the trapezium of back-EMF is needed, and is done via a sliding mode observer employing just one measurement of stator current. The effect of…

Systems and Control · Computer Science 2018-08-22 S. Geraee , M. Shafiei , A. R. Sahami , S. Alavi

We consider joint control of a switchable capacitor and a D-STATCOM for voltage regulation in a distribution circuit with intermittent load. The control problem is formulated as a two-timescale optimal power flow problem with chance…

Systems and Control · Computer Science 2014-09-17 Changhong Zhao , Michael Chertkov , Scott Backhaus

In recent times adaptive regulation of sampling rates has gained significant attention in research community and researchers has demonstrated it's effectiveness in embedded control applications from different perspectives. In low power…

Systems and Control · Computer Science 2018-02-15 Rajorshee Raha

The effectiveness of a robot manipulation to a large extent is determined by the speed of making this or that movement needed for carrying out the task. Accordingly to this the problem of optimal robot control is often subdivided into two…

Optimization and Control · Mathematics 2018-01-24 Oleg Malafeyev

The optimal feedforward torque control problem is tackled and solved analytically for synchronous machines while stator resistance and cross-coupling inductance are explicitly considered. Analytical solutions for the direct and quadrature…

Systems and Control · Computer Science 2019-02-14 Hisham Eldeeb , Christoph M. Hackl , Lorenz Horlbeck , Julian Kullick

This paper presents a framework to jointly optimize the design and control of an electric race car equipped with a multiple-gear transmission, specifically accounting for the discrete gearshift dynamics. We formulate the problem as a…

Systems and Control · Electrical Eng. & Systems 2023-11-08 Camiel Cartignij , Mauro Salazar

We study how high charging rate demands from electric vehicles (EVs) in a power distribution grid may collectively cause poor dynamic performance, and propose a price incentivization strategy to steer customers to settle for lesser charging…

Optimization and Control · Mathematics 2025-08-26 Amit Kumer Podder , Tomonori Sadamoto , Aranya Chakrabortty
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