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We propose an efficient way of solving optimal control problems for rigid-body systems on the basis of inverse dynamics and the multiple-shooting method. We treat all variables, including the state, acceleration, and control input torques,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

Dynamic and continuous jumping remains an open yet challenging problem in bipedal robot control. Real-time planning with full body dynamics over the entire jumping trajectory presents unsolved challenges in computation burden. In this…

Robotics · Computer Science 2024-09-24 Junheng Li , Omar Kolt , Quan Nguyen

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

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

Robotics · Computer Science 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati

We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

Disordered Systems and Neural Networks · Physics 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

This study presents a whole-body model predictive control (MPC) of robotic systems with rigid contacts, under a given contact sequence using online switching time optimization (STO). We treat robot dynamics with rigid contacts as a switched…

Robotics · Computer Science 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

This paper investigates real-time control strategies for dynamical systems that involve frictional contact interactions. Hybridness and underactuation are key characteristics of these systems that complicate the design of feedback…

Robotics · Computer Science 2016-11-28 Francois Robert Hogan , Alberto Rodriguez

This paper presents a concise overview of sensitivity-based methods for solving large-scale optimization problems in distributed fashion. The approach relies on sensitivities and primal decomposition to achieve coordination between the…

Optimization and Control · Mathematics 2025-12-10 Maximilian Pierer von Esch , Andreas Völz , Knut Graichen

It is common to manufacture an object by decomposing it into parts that can be assembled. This decomposition is often required by size limits of the machine, the complex structure of the shape, etc. To make it possible to easily assemble…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Xingyuan Sun , Chenyue Cai , Ryan P. Adams , Szymon Rusinkiewicz

This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid bodies can translate and rotate in three-dimensional space,…

Optimization and Control · Mathematics 2009-09-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

Bipartite matching systems arise in many settings where agents or tasks from two distinct sets must be paired dynamically under compatibility constraints. We consider a high-dimensional bipartite matching system under uncertainty and seek…

Optimization and Control · Mathematics 2025-10-20 Baris Ata , Yaosheng Xu

Background The development of a simulation model of full body reaching tasks that can predict endeffector trajectories and joint excursions consistent with experimental data is a non-trivial task. Because of the kinematic redundancy…

Systems and Control · Computer Science 2011-08-10 Daohang Sha , James S Thomas

Active suspension systems are critical for enhancing vehicle comfort, safety, and stability, yet their performance is often limited by fixed hardware designs and control strategies that cannot adapt to uncertain and dynamic operating…

Robotics · Computer Science 2025-12-04 Ying-Kuan Tsai , Yi-Ping Chen , Vispi Karkaria , Wei Chen

The latest advances in the design of vehicles with the adaptive level of automation pose new challenges in the vehicle-driver interaction. Safety requirements underline the need to explore optimal cockpit architectures with regard to driver…

Human-Computer Interaction · Computer Science 2020-06-19 Ilya Yuskevich , A. Hein , Kahina Amokrane-Ferka , Abdelkrim Doufene , Marija Jankovic

The performances of braking control systems for robotic platforms, e.g., assisted and autonomous vehicles, airplanes and drones, are deeply influenced by the road-tire friction experienced during the maneuver. Therefore, the availability of…

Robotics · Computer Science 2022-11-07 F. Crocetti , G. Costante , M. L. Fravolini , P. Valigi

This paper investigates the problem of cooperative tuning of multi-agent optimal control systems, where a network of agents (i.e. multiple coupled optimal control systems) adjusts parameters in their dynamics, objective functions, or…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Zehui Lu , Wanxin Jin , Shaoshuai Mou , Brian D. O. Anderson

Physical interactive robotics, ranging from wearable devices to collaborative humanoid robots, require close coordination between mechanical design and control. However, evaluating interactive dynamics is challenging due to complex human…

Robotics · Computer Science 2026-03-11 Chenhui Zuo , Jinhao Xu , Michael Qian Vergnolle , Yanan Sui

Driving simulators have been used in the automotive industry for many years because of their ability to perform tests in a safe, reproducible and controlled immersive virtual environment. The improved performance of the simulator and its…

Robotics · Computer Science 2023-04-07 Akhil Chadha , Vishrut Jain , Andrea Michelle Rios Lazcano , Barys Shyrokau

Design optimization problems, e.g., shape optimization, that involve deformable bodies in unilateral contact are challenging as they require robust contact solvers, complex optimization methods that are typically gradient-based, and…

Numerical Analysis · Mathematics 2024-05-07 Jingyi Wang , Jerome Solberg , Mike A. Puso , Eric B. Chin , Cosmin G. Petra