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Optimal control (OC) using inverse dynamics provides numerical benefits such as coarse optimization, cheaper computation of derivatives, and a high convergence rate. However, to take advantage of these benefits in model predictive control…

Robotics · Computer Science 2023-03-24 Carlos Mastalli , Saroj Prasad Chhatoi , Thomas Corbères , Steve Tonneau , Sethu Vijayakumar

We propose three iterative methods for solving the Moser-Veselov equation, which arises in the discretization of the Euler-Arnold differential equations governing the motion of a generalized rigid body. We start by formulating the problem…

Numerical Analysis · Mathematics 2021-09-02 Joao R. Cardoso , Pedro Miraldo

The control of robotic systems in complex, shared collaborative workspaces presents significant challenges in achieving robust performance and safety when learning from experienced or simulated data is employed in the pipeline. A primary…

Robotics · Computer Science 2025-09-16 Mostafa Eslami , Maryam Babazadeh

Quantum many-body control is among most challenging problems in quantum science, due to computational complexity of related underlying problems. We propose an efficient approach for solving a class of control problems for many-body quantum…

Quantum Physics · Physics 2024-02-21 I. A. Luchnikov , M. A. Gavreev , A. K. Fedorov

This paper proposes a novel, more computationally efficient method for optimizing robot excitation trajectories for dynamic parameter identification, emphasizing self-collision avoidance. This addresses the system identification challenges…

This paper presents a cascaded control architecture, based on nonlinear dynamic inversion (NDI), for rigid body attitude control. The proposed controller works directly with the rotation matrix parameterization, that is, with elements of…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Hafiz Zeeshan Iqbal Khan , Farooq Aslam , Muhammad Farooq Haydar , Jamshed Riaz

We introduce a new dynamical system, at the interface between second-order dynamics with inertia and Newton's method. This system extends the class of inertial Newton-like dynamics by featuring a time-dependent parameter in front of the…

Optimization and Control · Mathematics 2024-02-13 Camille Castera , Hedy Attouch , Jalal Fadili , Peter Ochs

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

This paper is concerned with a finite-horizon inverse control problem, which has the goal of reconstructing, from observations, the possibly non-convex and non-stationary cost driving the actions of an agent. In this context, we present a…

Optimization and Control · Mathematics 2024-06-27 Emiland Garrabe , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

In this paper, we propose to estimate the forward dynamics equations of mechanical systems by learning a model of the inverse dynamics and estimating individual dynamics components from it. We revisit the classical formulation of rigid body…

Robotics · Computer Science 2023-07-12 Alberto Dalla Libera , Giulio Giacomuzzo , Ruggero Carli , Daniel Nikovski , Diego Romeres

We compare three approaches to posing the index 3 set of differential algebraic equations (DAEs) associated with the constrained multibody dynamics problem formulated in absolute coordinates. The first approach works directly with the…

Computational Engineering, Finance, and Science · Computer Science 2022-02-23 A. Kissel , J. Taves , D. Negrut

In this work we adapt a prediction-correction algorithm for continuous time-varying convex optimization problems to solve dynamic programs arising from Model Predictive Control. In particular, the prediction step tracks the evolution of the…

Systems and Control · Electrical Eng. & Systems 2019-11-25 Santiago Paternain , Manfred Morari , Alejandro Ribeiro

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

Optimal control deals with optimization problems in which variables steer a dynamical system, and its outcome contributes to the objective function. Two classical approaches to solving these problems are Dynamic Programming and the…

Optimization and Control · Mathematics 2023-12-18 Alessandro Betti , Michele Casoni , Marco Gori , Simone Marullo , Stefano Melacci , Matteo Tiezzi

This paper introduces a family of iterative algorithms for unconstrained nonlinear optimal control. We generalize the well-known iLQR algorithm to different multiple-shooting variants, combining advantages like straight-forward…

Systems and Control · Computer Science 2017-12-12 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli , Moritz Diehl

In this paper we consider new regularization methods for linear inverse problems of dynamic type. These methods are based on dynamic programming techniques for linear quadratic optimal control problems. Two different approaches are…

Numerical Analysis · Mathematics 2021-01-26 S. Kindermann , A. Leitao

The paper focuses on the redundancy resolution in kinematic control of a new type of serial manipulator composed of multiple tensegrity segments, which are moving in a multi-obstacle environment. The general problem is decomposed into two…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

Although inverse kinematics of serial manipulators is a well studied problem, challenges still exist in finding smooth feasible solutions that are also collision aware. Furthermore, with collaborative service robots gaining traction,…

Robotics · Computer Science 2023-11-01 Salih Marangoz , Rohit Menon , Nils Dengler , Maren Bennewitz

Off-line robot dynamic identification methods are mostly based on the use of the inverse dynamic model, which is linear with respect to the dynamic parameters. This model is sampled while the robot is tracking reference trajectories that…

Robotics · Computer Science 2010-09-24 Maxime Gautier , Alexandre Janot , Pierre-Olivier Vandanjon

Continuum soft robots are inherently underactuated and subject to intrinsic input constraints, making dynamic control particularly challenging, especially in hybrid rigid-soft robots. While most existing methods focus on quasi-static…