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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

Obstacle avoidance of polytopic obstacles by polytopic robots is a challenging problem in optimization-based control and trajectory planning. Many existing methods rely on smooth geometric approximations, such as hyperspheres or ellipsoids,…

Robotics · Computer Science 2026-03-09 Shuo Liu , Zhe Huang , Calin A. Belta

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

Nonlinear receding horizon model predictive control is a powerful approach to controlling nonlinear dynamical systems. However, typical approaches that use the Jacobian, adjoint, and forward-backward passes may lose fidelity and efficacy…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Erina Yamaguchi , Sai Ravela

In practice, navigation of mobile robots in confined environments is often done using a spatially discrete cost-map to represent obstacles. Path following is a typical use case for model predictive control (MPC), but formulating constraints…

Robotics · Computer Science 2025-07-15 Michael Schröder , Eric Schöneberg , Daniel Görges , Hans D. Schotten

We propose a novel neural network architecture (TSympOCNet) to address high--dimensional optimal control problems with linear and nonlinear dynamics. An important application of this method is to solve the path planning problem of…

Optimization and Control · Mathematics 2024-08-08 Zhen Zhang , Chenye Wang , Shanqing Liu , Jerome Darbon , George Karniadakis

Collision avoidance systems play a vital role in reducing the number of vehicle accidents and saving human lives. This paper extends the previous work using evolutionary neural networks for reactive collision avoidance. We are proposing a…

Robotics · Computer Science 2022-04-13 Hesham M. Eraqi , Mena Nagiub , Peter Sidra

In this paper we present a new steepest-descent type algorithm for convex optimization problems. Our algorithm pieces the unknown into sub-blocs of unknowns and considers a partial optimization over each sub-bloc. In quadratic optimization,…

Optimization and Control · Mathematics 2015-01-15 Mohamed Kamel Riahi

This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the robot as a union of padded polygons. The conditions that none…

Robotics · Computer Science 2026-03-24 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Rashmi Dabir , Moritz Diehl

In the path planning problem of autonomous application, the existing studies separately consider the path planning and trajectory tracking control of the autonomous vehicle and few of them have integrated the trajectory planning and…

Robotics · Computer Science 2019-05-10 Chao Huang , Boyuan Li , Masako Kishida

This paper details an approach to linearise differentiable but non-convex collision avoidance constraints tailored to convex shapes. It revisits introducing differential collision avoidance constraints for convex objects into an optimal…

Optimization and Control · Mathematics 2025-05-19 Dries Dirckx , Wilm Decré , Jan Swevers

While Model Predictive Control (MPC) enforces safety via constraints, its real-time execution can exceed embedded compute budgets. We propose a Barrier-integrated Adaptive Neural Model Predictive Control (BAN-MPC) framework that synergizes…

Robotics · Computer Science 2025-09-09 Kaikai Wang , Tianxun Li , Liang Xu , Qinglei Hu , Keyou You

This paper proposes vehicle motion planning methods with obstacle avoidance in tight spaces by incorporating polygonal approximations of both the vehicle and obstacles into a model predictive control (MPC) framework. Representing these…

Robotics · Computer Science 2025-05-09 Haruki Kojima , Kohei Honda , Hiroyuki Okuda , Tatsuya Suzuki

This work aims to develop a resource-efficient solution for obstacle-avoiding tracking control of a planar snake robot in a densely cluttered environment with obstacles. Particularly, Neuro-Evolution of Augmenting Topologies (NEAT) has been…

Robotics · Computer Science 2025-11-18 Advik Sinha , Akshay Arjun , Abhijit Das , Joyjit Mukherjee

To be applicable to real world scenarios trajectory planning schemes for mobile autonomous systems must be able to efficiently deal with obstacles in the area of operation. In the context of optimization based trajectory planning and…

Optimization and Control · Mathematics 2021-04-27 Max Lutz , Thomas Meurer

Nonlinear Model Predictive Control (NMPC) is widely used for controlling high-speed robotic systems such as quadrotors. However, its significant computational demands often hinder real-time feasibility and reliability, particularly in…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Saber Omidi

In this paper, a novel closed-loop control framework for autonomous obstacle avoidance on a curve road is presented. The proposed framework provides two main functionalities; (i) collision free trajectory planning using MPC and (ii) a…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Shayan Taherian , Shilp Dixit , Umberto Montanaro , Saber Fallah

This paper concerns an application of a recently-developed nonlinear tracking technique to trajectory control of autonomous vehicles at traffic intersections. The technique uses a flow version of the Newton-Raphson method for controlling a…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Shashwat Shivam , Yorai Wardi , Magnus Egerstedt , Aris Kanellopoulos , Kyriakos G. Vamvoudakis

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

We present a nonlinear non-convex model predictive control approach to solving a real-world labyrinth game. We introduce adaptive nonlinear constraints, representing the non-convex obstacles within the labyrinth. Our method splits the…

Robotics · Computer Science 2025-02-11 Johannes Gaber , Thomas Bi , Raffaello D'Andrea