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We address the path-wise control of systems described by a set of nonlinear stochastic differential equations. For this class of systems, we introduce a notion of stochastic relative degree and a change of coordinates which transforms the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Alberto Mellone , Giordano Scarciotti

Momentum methods for convex optimization often rely on precise choices of algorithmic parameters, based on knowledge of problem parameters, in order to achieve fast convergence, as well as to prevent oscillations that could severely…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Justin H. Le , Andrew R. Teel

In this paper we present a hybrid feedback approach to solve the navigation problem of a point mass in the n-dimensional space containing an arbitrary number of ellipsoidal shape obstacles. The proposed hybrid control algorithm guarantees…

Optimization and Control · Mathematics 2021-06-22 Soulaimane Berkane , Andrea Bisoffi , Dimos V. Dimarogonas

Sliding mode control (SMC) is a robust and computationally efficient solution for tracking control problems of highly nonlinear systems with a great deal of uncertainty. High frequency oscillations due to chattering phenomena and…

Optimization and Control · Mathematics 2017-06-08 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan , J. Karl Hedrick

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the…

Optimization and Control · Mathematics 2016-12-02 Alexander Ovseevich , Aleksey Fedorov

A receding horizon learning scheme is proposed to transfer the state of a discrete-time dynamical control system to zero without the need of a system model. Global state convergence to zero is proved for the class of stabilizable and…

Systems and Control · Electrical Eng. & Systems 2020-12-16 Christian Ebenbauer , Fabian Pfitz , Shuyou Yu

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

Optimization and Control · Mathematics 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of…

Optimization and Control · Mathematics 2015-11-16 Alexander Ovseevich , Aleksey Fedorov

This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

Systems and Control · Computer Science 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

The problem of steering a particular class of $n$-dimensional continuous-time dynamical systems towards the minima of a function without gradient information is considered. We propose an hybrid controller, implementing a discrete-time…

Systems and Control · Electrical Eng. & Systems 2019-12-05 Alessandro Melis , Ricardo G. Sanfelice , Lorenzo Marconi

This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the derivative of the control input. This context appears in many industrial…

Systems and Control · Computer Science 2016-10-20 Mazen Alamir , Jean Dobrowolski , Amgad tarek Mohammed

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

This paper explores the design of hybrid feedback for a class of affine nonlinear systems with topological constraints that prevent global asymptotic stability. A new hybrid control strategy is introduced, which differs conceptually from…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Miaomiao Wang , Abdelhamid Tayebi

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

Optimization and Control · Mathematics 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

Data-driven control offers a powerful alternative to traditional model-based methods, particularly when accurate system models are unavailable or prohibitively complex. While existing data-driven control methods primarily aim to construct…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Janina Schaa , Thomas Berger

We demonstrate the use of a new, control-oriented notion of finite state approximation for a particular class of hybrid systems. Specifically, we consider the problem of designing a stabilizing binary output feedback switching controller…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf , Alexandre Megretski , Munther A. Dahleh

Passivity-based control ensures system stability by leveraging dissipative properties and is widely applied in electrical and mechanical systems. Port-Hamiltonian systems (PHS), in particular, are well-suited for interconnection and damping…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Thomas Beckers , Leonardo Colombo

This paper presents a novel hybrid control protocol for de-conflicting multiple vehicles with constraints on control inputs. We consider turning rate and linear speed constraints to represent fixed-wing or car-like vehicles. A set of…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Dimitra Panagou