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This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Recent developments in the field of computational modeling of fracture have opened up possibilities for designing structures against failure. A special case, called interfacial fracture or delamination, can occur in loaded composite…

Optimization and Control · Mathematics 2022-09-13 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

In this paper, we propose a novel approach to synthesize linear feedback controllers for navigating in polygonal environments using noisy measurements and a convex cell decomposition. Our method is based on formulating chance constraints…

Optimization and Control · Mathematics 2020-12-22 Chenfei Wang , Mahroo Bahreinian , Roberto Tron

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

This paper proposes a GPU-accelerated optimization framework for collision avoidance problems where the controlled objects and the obstacles can be modeled as the finite union of convex polyhedra. A novel collision avoidance constraint is…

Robotics · Computer Science 2024-06-12 Zeming Wu , Zhuping Wang , Hao Zhang

Modern network-constrained unit commitment (NCUC) bears a heavy computational burden due to the ever-growing model scale. This situation becomes more challenging when detailed operational characteristics, complicated constraints, and…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Zekuan Yu , Haiwang Zhong , Guangchun Ruan , Xinfei Yan

This paper introduces a nonlinear conjugate gradient method (NCGM) for addressing the robust counterpart of uncertain multiobjective optimization problems (UMOPs). Here, the robust counterpart is defined as the minimum across objective-wise…

Optimization and Control · Mathematics 2025-03-04 Shubham Kumar , Nihar Kumar Mahato , Debdas Ghosh

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

In this paper two formulations for the robust optimization of the size of the permanent magnet in a synchronous machine are discussed. The optimization is constrained by a partial differential equation to describe the electromagnetic…

Optimization and Control · Mathematics 2018-08-07 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Stefan Ulbrich , Oliver Rain

The development of new materials and structures for extreme conditions including impact remains a continuing challenge despite steady advances. Design is currently accomplished using a sequential approach: an optimal material is first…

Materials Science · Physics 2021-06-14 Xingsheng Sun , Burigede Liu , Kaushik Bhattacharya , Michael Ortiz

Accurate and robust trajectory predictions of road users are needed to enable safe automated driving. To do this, machine learning models are often used, which can show erratic behavior when presented with previously unseen inputs. In this…

Artificial Intelligence · Computer Science 2023-04-05 Manuel Muñoz Sánchez , Emilia Silvas , Jos Elfring , René van de Molengraft

We study momentum-based first-order optimization algorithms in which the iterations utilize information from the two previous steps and are subject to an additive white noise. This setup uses noise to account for uncertainty in either…

Optimization and Control · Mathematics 2024-06-21 Hesameddin Mohammadi , Meisam Razaviyayn , Mihailo R. Jovanović

This paper develops a sliding mode control based frame work for equality constrained optimization by reformulation the first order Karush Kuhn Tucker conditions as control affine dynamical system. The optimization variables are treated as…

Optimization and Control · Mathematics 2026-05-01 Shyam Kamal , Baby Diana , Sunidhi Pandey , Sandip Ghosh , Thach Ngoc Dinh

This article proposes a novel control architecture using a centralized nonlinear model predictive control (CNMPC) scheme for controlling multiple micro aerial vehicles (MAVs). The control architecture uses an augmented state system to…

Robotics · Computer Science 2021-09-03 Björn Lindqvist , Sina Sharif Mansouri , Pantelis Sopasakis , George Nikolakopoulos

This work focuses on the robust optimization of a permanent magnet (PM) synchronous machine while considering a driving cycle. The robustification is obtained by considering uncertainties of different origins. Firstly, there are geometrical…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 L. A. M. D'Angelo , Z. Bontinck , S. Schöps , H. De Gersem

Finding robot poses and trajectories represents a foundational aspect of robot motion planning. Despite decades of research, efficiently and robustly addressing these challenges is still difficult. Existing approaches are often plagued by…

Robotics · Computer Science 2023-11-06 Chen Liang , Xifeng Gao , Kui Wu , Zherong Pan

This paper presents a new deep learning-based framework for robust nonlinear estimation and control using the concept of a Neural Contraction Metric (NCM). The NCM uses a deep long short-term memory recurrent neural network for a global…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

Achieving both safety guarantees and real-time performance in cooperative vehicle coordination remains a fundamental challenge, particularly in dynamic and uncertain environments. Existing methods often suffer from insufficient uncertainty…

Robotics · Computer Science 2026-04-20 Haojie Bai , Tingting Zhang , Cong Guo , Yang Wang , Xiongwei Zhao , Hai Zhu
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