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This paper presents a novel Nonlinear Model Predictive Control (NMPC) scheme for underwater robotic vehicles operating in a constrained workspace including static obstacles. The purpose of the controller is to guide the vehicle towards…

The optimization of fuel-optimal low-thrust collision avoidance maneuvers (CAMs) in scenarios involving multiple encounters between spacecraft is addressed. The optimization's objective is the minimization of the total fuel consumption…

Optimization and Control · Mathematics 2024-06-07 Zeno Pavanello , Laura Pirovano , Roberto Armellin , Andrea De Vittori , Pierluigi Di Lizia

Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems with finite number of unknown switching points and reformulate…

Optimization and Control · Mathematics 2025-05-28 Saif R. Kazi , Kexin Wang , Lorenz T. Biegler

We present a generic solver for unconstrained control problems (UCPs) whose objectives take the form of an integral functional of the controllers. The solver generalizes and improves upon the algorithm proposed by Tseng and Tang for the…

Optimization and Control · Mathematics 2020-09-30 Shih-Hao Tseng

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

Systems and Control · Computer Science 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

The purpose of this paper is to address a class of hybrid optimal control problems constrained with hyperelasticity and constant global volume. This type of problems can intervene for example in the mechanical aspects of cardiac activity.…

Optimization and Control · Mathematics 2024-09-06 Sébastien Court

Planning-based reinforcement learning has shown strong performance in tasks in discrete and low-dimensional continuous action spaces. However, planning usually brings significant computational overhead for decision-making, and scaling such…

Machine Learning · Computer Science 2023-01-25 Zhengyao Jiang , Tianjun Zhang , Michael Janner , Yueying Li , Tim Rocktäschel , Edward Grefenstette , Yuandong Tian

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is…

Optimization and Control · Mathematics 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

In this work, we propose and study a new approach to formulate the optimal control problem of second-order differential equations, with a particular interest in those derived from force-controlled Lagrangian systems. The formulation results…

In this paper a novel aerial manipulation system is proposed. The mechanical structure of the system, the number of thrusters and their geometry will be derived from technical optimization problems. The aforementioned problems are defined…

Robotics · Computer Science 2015-02-27 Alexandros Nikou , Georgios C. Gavridis , Kostas J. Kyriakopoulos

Fully actuated omnidirectional UAVs enable independent control of forces and torques along all six degrees of freedom, broadening the operational envelope for agile flight and aerial interaction tasks. However, conventional control…

We propose a general analytical framework for single-facility continuous location problems under spatial demand uncertainty. In contrast to classical formulations based on discrete or regionally aggregated demands, the proposed model…

Optimization and Control · Mathematics 2025-11-05 Víctor Blanco , Miguel Martínez-Antón

This paper proposes a novel tube-based Model Predictive Control (MPC) framework for tracking varying setpoint references with linear systems subject to additive and multiplicative uncertainties. The MPC controllers designed using this…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Filippo Badalamenti , Sampath Kumar Mulagaleti , Alberto Bemporad , Boris Houska , Mario Eduardo Villanueva

A geometric nonconvex conic optimization problem (COP) was recently proposed by Kim, Kojima and Toh as a unified framework for convex conic reformulation of a class of quadratic optimization problems and polynomial optimization problems.…

Optimization and Control · Mathematics 2024-09-11 Naohiko Arima , Sunyoung Kim , Masakazu Kojima

In this work, we develop a control-theoretic framework for constrained optimization problems with composite objective functions including non-differentiable terms. Building on the proximal augmented Lagrangian formulation, we construct a…

Optimization and Control · Mathematics 2026-05-05 V. Cerone , S. M. Fosson , S. Pirrera , A. Re , D. Regruto

In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal control problems with known uncertainty sets, we…

Optimization and Control · Mathematics 2016-06-09 Xiaojing Zhang , Maryam Kamgarpour , Angelos Georghiou , Paul Goulart , John Lygeros

We present and experimentally verify a matrix approach for determining how to optimally sculpt an input wavefront both in space and time for any desired wave-control functionality, irrespective of the complexity of the wave scattering. We…

Applied Physics · Physics 2023-08-08 Clément Ferise , Philipp del Hougne , Matthieu Davy

Optimal decentralized controller design is notoriously difficult, but recent research has identified large subclasses of such problems that may be convexified and thus are amenable to solution via efficient numerical methods. One recently…

Systems and Control · Computer Science 2014-11-25 Laurent Lessard , Sanjay Lall

We present an approach to design stabilizing controllers for a set of linear systems without restrictions regarding their modeling order. To this end, the systems are treated as abstract objects in the space of the $\nu$-gap metric. Via a…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Lukas Munser , Arne-Jens Hempel , Grigory Devadze , Stefan Streif

The Banach-Picard iteration is widely used to find fixed points of locally contractive (LC) maps. This paper extends the Banach-Picard iteration to distributed settings; specifically, we assume the map of which the fixed point is sought to…

Optimization and Control · Mathematics 2021-12-30 Francisco L. Andrade , Mário A. T. Figueiredo , João Xavier