Time-varying convex optimization: Time-structured algorithms and applications

A Simonetto, E Dall'Anese, S Paternain… - Proceedings of the …, 2020 - ieeexplore.ieee.org
Optimization underpins many of the challenges that science and technology face on a daily
basis. Recent years have witnessed a major shift from traditional optimization paradigms …

Time-distributed optimization for real-time model predictive control: Stability, robustness, and constraint satisfaction

D Liao-McPherson, MM Nicotra, I Kolmanovsky - Automatica, 2020 - Elsevier
Time-distributed optimization is an implementation strategy that can significantly reduce the
computational burden of model predictive control. When using this strategy, optimization …

A nonsmooth newton method for linear model-predictive control in tracking tasks for a mobile robot with obstacle avoidance

A Britzelmeier, M Gerdts - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
We investigate tracking tasks for an automatic mobile robot with obstacle avoidance. To this
end we apply a linear model-predictive control (LMPC) method to the nonlinear robot model …

A Control Theoretical Approach to Online Constrained Optimization

U Casti, N Bastianello, R Carli, S Zampieri - arxiv preprint arxiv …, 2023 - arxiv.org
In this paper we focus on the solution of online problems with time-varying, linear equality
and inequality constraints. Our approach is to design a novel online algorithm by leveraging …

Internal Model-Based Online Optimization

N Bastianello, R Carli, S Zampieri - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article, we propose a model-based approach to the design of online optimization
algorithms, with the goal of improving the tracking of the solution trajectory (trajectories) wrt …

Stochastic models for online optimization

U Casti, S Zampieri - arxiv preprint arxiv:2411.19056, 2024 - arxiv.org
In this paper, we propose control-theoretic methods as tools for the design of online
optimization algorithms that are able to address dynamic, noisy, and partially uncertain time …

Dynamical System Approach for Optimal Control Problems with Equilibrium Constraints Using Gap-Constraint-Based Reformulation

K Lin, T Ohtsuka - arxiv preprint arxiv:2412.01326, 2024 - arxiv.org
Optimal control problems for nonsmooth dynamical systems governed by differential
variational inequalities (DVI) are called optimal control problems with equilibrium constraints …

Sensitivity-based warmstarting for nonlinear model predictive control with polyhedral state and control constraints

D Liao-McPherson, MM Nicotra… - … on Automatic Control, 2019 - ieeexplore.ieee.org
Model predictive control (MPC) is of increasing interest in applications for constrained
control of multivariate systems. However, one of the major obstacles to its broader use is the …

A prediction-correction algorithm for real-time model predictive control

S Paternain, M Morari, A Ribeiro - arxiv preprint arxiv:1911.10051, 2019 - arxiv.org
In this work we adapt a prediction-correction algorithm for continuous time-varying convex
optimization problems to solve dynamic programs arising from Model Predictive Control. In …

On semismooth path-following method and uniformity of strong metric subregularity at/around the reference point

T Roubal, J Valdman - arxiv preprint arxiv:2410.23871, 2024 - arxiv.org
This paper investigates a path-following method inspired by the semismooth $^* $ approach
for solving algebraic inclusions, with a primary emphasis on the role of uniform …