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In this article, we detail the design of an output feedback stabilizing control law for an underactuated network of N subsystems of n + m heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through…

Analysis of PDEs · Mathematics 2024-09-17 Jean Auriol

We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko , P. Hoevel , E. Schoell

We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\mathbb{R}^d$. Using a Lyapunov function with a suited weight function depending on the system under consideration we…

Optimization and Control · Mathematics 2025-01-24 Michael Herty , Ferdinand Thein

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

In this work, we develop a method based on robust control techniques to synthesize robust time-varying state-feedback policies for finite, infinite, and receding horizon control problems subject to convex quadratic state and input…

Optimization and Control · Mathematics 2023-10-19 Dennis Gramlich , Carsten W. Scherer , Hannah Häring , Christian Ebenbauer

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time…

Systems and Control · Computer Science 2014-09-10 Ahmet Cetinkaya , Tomohisa Hayakawa

We demonstrate targeting and control over spatiotemporal chaos in an optical feedback loop experiment. Different stationary target patterns are stabilized in real-time by means of a two dimensional space extended perturbation field driven…

Chaotic Dynamics · Physics 2009-11-10 L. Pastur , L. Gostiaux , U. Bortolozzo , S Boccaletti , P. L Ramazza

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

Optimization and Control · Mathematics 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

This communication presents a longitudinal model-free control approach for computing the wheel torque command to be applied on a vehicle. This setting enables us to overcome the problem of unknown vehicle parameters for generating a…

Systems and Control · Computer Science 2017-04-06 Philip Polack , Brigitte d'Andréa-Novel , Michel Fliess , Arnaud de la Fortelle , Lghani Menhour

In this paper, we discuss our recent works on the null-controllability, the exact controllability, and the stabilization of linear hyperbolic systems in one dimensional space using boundary controls on one side for the optimal time. Under…

Optimization and Control · Mathematics 2020-12-11 Jean-Michel Coron , Hoai-Minh Nguyen

In this paper, a new yet indirect performance guaranteed framework is established to address the distributed tracking control problem for networked uncertain nonlinear strict-feedback systems with unknown time-varying gains under a directed…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Zeqiang Li , Yujuan Wang , Xiucai Huang

In this work we present a whole-body Nonlinear Model Predictive Control approach for Rigid Body Systems subject to contacts. We use a full dynamic system model which also includes explicit contact dynamics. Therefore, contact locations,…

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

Time-delayed feedback methods can be used to control unstable periodic orbits as well as unstable steady states. We present an application of extended time delay autosynchronization introduced by Socolar et al. to an unstable focus. This…

Chaotic Dynamics · Physics 2009-11-13 Thomas Dahms , Philipp Hoevel , Eckehard Schoell

We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines…

Optimization and Control · Mathematics 2018-10-10 Liam S. P. Lawrence , Zachary E. Nelson , Enrique Mallada , John W. Simpson-Porco

The theory of controlled mechanical systems of [6, 3, 4] is extended to the case of ideal incompressible fluids consisting of charged particles in the presence of an external magnetic field. The resulting control is of feedback type and…

Mathematical Physics · Physics 2021-03-10 Simon Hochgerner

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Andrey Polyakov , Miroslav Krstic

This paper presents a boundary control scheme for prescribed-time (PT) stable of flexible string systems via backstepping method, and the dynamics of such systems modeled by Hamilton's principle is described as second-order hyperbolic…

Optimization and Control · Mathematics 2025-09-09 Chuan Zhang , He Yang , Fei Wang , Tuo Zhou