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The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

Finite-dimensional dissipative dynamical systems with multiple time-scales are obtained when modeling chemical reaction kinetics with ordinary differential equations. Such stiff systems are computationally hard to solve and therefore,…

Optimization and Control · Mathematics 2019-07-03 Marcus Heitel , Robin Verschueren , Moritz Diehl , Dirk Lebiedz

We present a control strategy that applies inverse dynamics to a learned acceleration error model for accurate multirotor control input generation. This allows us to retain accurate trajectory and control input generation despite the…

Robotics · Computer Science 2020-11-03 Alexander Spitzer , Nathan Michael

In this paper, a novel recurrent adaptive backstepping optimal control strategy for a single inverted pendulum system is studied. By this method, an inverted pendulum is stabilized using projection recurrent neural network-based adaptive…

Systems and Control · Electrical Eng. & Systems 2021-10-20 Mohammad Sarbaz

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We propose a new parallel framework for fast computation of inverse and forward dynamics of articulated robots based on prefix sums (scans). We re-investigate the well-known recursive Newton-Euler formulation of robot dynamics and show that…

Robotics · Computer Science 2016-09-16 Yajue Yang , Yuanqing Wu , Jia Pan

A common strategy today to generate efficient locomotion movements is to split the problem into two consecutive steps: the first one generates the contact sequence together with the centroidal trajectory, while the second one computes the…

Robotics · Computer Science 2019-04-11 Rohan Budhiraja , Justin Carpentier , Carlos Mastalli , Nicolas Mansard

This paper presents a new geometric and recursive algorithm for analytically computing the forward dynamics of heavy-duty parallel-serial mechanisms. Our solution relies on expressing the dynamics of a class of linearly-actuated parallel…

Robotics · Computer Science 2024-03-14 Paz Alvaro , Jouni Mattila

This study proposes an efficient Newton-type method for the optimal control of switched systems under a given mode sequence. A mesh-refinement-based approach is utilized to discretize continuous-time optimal control problems (OCPs) and…

Optimization and Control · Mathematics 2021-12-21 Sotaro Katayama , Toshiyuki Ohtsuka

Several publications are concerned with learning inverse kinematics, however, their evaluation is often limited and none of the proposed methods is of practical relevance for rigid-body kinematics with a known forward model. We argue that…

Robotics · Computer Science 2020-03-03 Tim von Oehsen , Alexander Fabisch , Shivesh Kumar , Frank Kirchner

This paper concerns the problem of learning control policies for an unknown linear dynamical system to minimize a quadratic cost function. We present a method, based on convex optimization, that accomplishes this task robustly: i.e., we…

Optimization and Control · Mathematics 2019-06-05 Jack Umenberger , Mina Ferizbegovic , Thomas B. Schön , Håkan Hjalmarsson

In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

Exploring the design and control strategies of soft robots through simulation is highly attractive due to its cost-effectiveness. Although many existing models (e.g., finite element analysis) are effective for simulating soft robotic…

Robotics · Computer Science 2024-08-21 Dezhong Tong , Zhuonan Hao , Mingchao Liu , Weicheng Huang

Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solutions to these problems. While conventional numerical…

Optimization and Control · Mathematics 2022-11-21 Lucian Nita , Eric C. Kerrigan , Eduardo M. G. Vila , Yuanbo Nie

We introduce in this document a direct method allowing to solve numerically inverse type problems for linear parabolic equations. We consider the reconstruction of the full solution of the parabolic equation posed in $\Omega\times (0,T)$ -…

Optimization and Control · Mathematics 2024-02-11 Arnaud Munch , Diego Souza

Numerical solutions to Newton's equations of motion for chaotic self gravitating systems of more than 2 bodies are often regarded to be irreversible. This is due to the exponential growth of errors introduced by the integration scheme and…

Instrumentation and Methods for Astrophysics · Physics 2018-03-14 Simon Portegies Zwart , Tjarda Boekholt

We consider efficient methods for computing solutions to dynamic inverse problems, where both the quantities of interest and the forward operator (measurement process) may change at different time instances but we want to solve for all the…

Numerical Analysis · Mathematics 2021-07-14 Mirjeta Pasha , Arvind K. Saibaba , Silvia Gazzola , Malena I. Espanol , Eric de Sturler

Over the recent past data-driven algorithms for solving stochastic optimal control problems in face of model uncertainty have become an increasingly active area of research. However, for singular controls and underlying diffusion dynamics…

Optimization and Control · Mathematics 2024-10-15 Sören Christensen , Asbjørn Holk Thomsen , Lukas Trottner
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