Time-varying convex optimization: Time-structured algorithms and applications
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 …
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
Time-distributed optimization is an implementation strategy that can significantly reduce the
computational burden of model predictive control. When using this strategy, optimization …
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 …
end we apply a linear model-predictive control (LMPC) method to the nonlinear robot model …
A Control Theoretical Approach to Online Constrained Optimization
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 …
and inequality constraints. Our approach is to design a novel online algorithm by leveraging …
Internal Model-Based Online Optimization
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 …
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 …
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
Optimal control problems for nonsmooth dynamical systems governed by differential
variational inequalities (DVI) are called optimal control problems with equilibrium constraints …
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
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 …
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
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 …
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
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 …
for solving algebraic inclusions, with a primary emphasis on the role of uniform …