Proximal gradient algorithms under local Lipschitz gradient continuity: A convergence and robustness analysis of PANOC

A De Marchi, A Themelis - Journal of Optimization Theory and Applications, 2022 - Springer
Composite optimization offers a powerful modeling tool for a variety of applications and is
often numerically solved by means of proximal gradient methods. In this paper, we consider …

Learning MPC for interaction-aware autonomous driving: A game-theoretic approach

B Evens, M Schuurmans… - 2022 European Control …, 2022 - ieeexplore.ieee.org
We consider the problem of interaction-aware motion planning for automated vehicles in
general traffic situations. We model the interaction between the controlled vehicle and …

Fast Trajectory Tracking Control Algorithm for Autonomous Vehicles Based on the Alternating Direction Multiplier Method (ADMM) to the Receding Optimization of …

D Dong, H Ye, W Luo, J Wen, D Huang - Sensors, 2023 - mdpi.com
In order to improve the real-time performance of the trajectory tracking of autonomous
vehicles, this paper applies the alternating direction multiplier method (ADMM) to the …

A Sampling-Based Approach to Urban Motion Planning Games with Stochastic Dynamics

M Khayyat, S Bolognani, S Arrigoni… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Urban driving is a challenging task that requires autonomous agents to account for the
stochastic dynamics and interactions with other vehicles. In this paper, we propose a novel …

PANTR: A proximal algorithm with trust-region updates for nonconvex constrained optimization

A Bodard, P Pas, P Patrinos - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
This letter presents PANTR, an efficient solver for nonconvex constrained optimization
problems, that is well-suited as an inner solver for an augmented Lagrangian method. The …

Distributed nonconvex optimization for control of water networks with time-coupling constraints

B Jenks, AJ Ulusoy, F Pecci, I Stoianov - Water Resources Management, 2024 - Springer
In this paper, we present a new control model for optimizing pressure and water quality
operations in water distribution networks. Our formulation imposes a set of time-coupling …

On gain scheduling trajectory stabilization for nonlinear systems: theoretical insights and experimental results

N Kessler, L Fagiano - … Journal of Robust and Nonlinear Control, 2024 - Wiley Online Library
Steering a nonlinear system from an initial state to a desired one is a common task in
control. While a nominal trajectory can be obtained rather systematically using a model, for …

SPIRAL: a superlinearly convergent incremental proximal algorithm for nonconvex finite sum minimization

P Behmandpoor, P Latafat, A Themelis… - Computational …, 2024 - Springer
We introduce SPIRAL, a SuPerlinearly convergent Incremental pRoximal ALgorithm, for
solving nonconvex regularized finite sum problems under a relative smoothness …

Gauss–Newton meets PANOC: A fast and globally convergent algorithm for nonlinear optimal control

P Pas, A Themelis, P Patrinos - IFAC-PapersOnLine, 2023 - Elsevier
PANOC is an algorithm for nonconvex optimization that has recently gained popularity in
real-time control applications due to its fast, global convergence. The present work proposes …

A Hybrid Optimizer based Nonlinear Model Predictive Control for Rotary Inverted Pendulum

SP Diwan, SS Deshpande - 2022 International Conference on …, 2022 - ieeexplore.ieee.org
A popular nonlinear system in several fields, including as robotics, aircraft, and shipping, is
the rotating inverted pendulum. In this work, an optimized Non-linear Model Predictive …