Modeling and control of overhead cranes: A tutorial overview and perspectives

MR Mojallizadeh, B Brogliato, C Prieur - Annual Reviews in Control, 2023 - Elsevier
This article presents a complete review of the modeling and control schemes for overhead
cranes operating in 2D and 3D spaces published to date. The modeling schemes including …

Digital implementation of sliding‐mode control via the implicit method: A tutorial

B Brogliato, A Polyakov - International Journal of Robust and …, 2021 - Wiley Online Library
The objective of this article, is to provide a clear presentation of the discretization of
continuous‐time sliding‐mode controllers, also known in the automatic control literature as …

Generalized penalty and regularization method for differential variational-hemivariational inequalities

Z Liu, D Motreanu, S Zeng - SIAM Journal on Optimization, 2021 - SIAM
The primary objective of this paper is to study a large class of differential variational-
hemivariational inequalities involving history-dependent operators and constraints in a …

The geometry of monotone operator splitting methods

PL Combettes - Acta Numerica, 2024 - cambridge.org
We propose a geometric framework to describe and analyse a wide array of operator
splitting methods for solving monotone inclusion problems. The initial inclusion problem …

Spiking control systems

R Sepulchre - Proceedings of the IEEE, 2022 - ieeexplore.ieee.org
Spikes and rhythms organize control and communication in the animal world, in contrast to
the bits and clocks of digital technology. As continuous-time signals that can be counted …

Dissipativity and integral quadratic constraints: Tailored computational robustness tests for complex interconnections

CW Scherer - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
A central notion in systems theory is dissipativity, which was introduced by Jan Willems with
the explicit goal of arriving at a fundamental understanding of the stability properties of …

Stabilization of complementarity systems via contact-aware controllers

A Aydinoglu, P Sieg, VM Preciado… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We propose a control framework, which can utilize tactile information by exploiting the
complementarity structure of contact dynamics. Since many robotic tasks, like manipulation …

Solving mathematical programs with complementarity constraints arising in nonsmooth optimal control

A Nurkanović, A Pozharskiy, M Diehl - Vietnam Journal of Mathematics, 2024 - Springer
This paper examines solution methods for mathematical programs with complementarity
constraints (MPCC) obtained from the time-discretization of optimal control problems (OCPs) …

NOSNOC: A software package for numerical optimal control of nonsmooth systems

A Nurkanović, M Diehl - IEEE Control Systems Letters, 2022 - ieeexplore.ieee.org
This letter introduces the NOnSmooth Numerical Optimal Control (NOSNOC) open-source
software package. It is a modular MATLAB tool based on CasADi and IPOPT for numerically …

Finite elements with switch detection for direct optimal control of nonsmooth systems

A Nurkanović, M Sperl, S Albrecht, M Diehl - Numerische Mathematik, 2024 - Springer
Abstract This paper introduces Finite Elements with Switch Detection (FESD), a numerical
discretization method for nonsmooth differential equations. We consider the Filippov …