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We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

Endowing continuum robots with compliance while it is interacting with the internal environment of the human body is essential to prevent damage to the robot and the surrounding tissues. Compared with passive compliance, active compliance…

Robotics · Computer Science 2024-01-30 David Jakes , Zongyuan Ge , Liao Wu

In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven…

Applied Physics · Physics 2020-09-01 Raffaele Barretta , Marko Čanađija , Francesco Marotti de Sciarra

Many optimal and robust control problems are nonconvex and potentially nonsmooth in their policy optimization forms. In Part II of this paper, we introduce a new and unified Extended Convex Lifting (ECL) framework to reveal hidden convexity…

Optimization and Control · Mathematics 2024-06-07 Yang Zheng , Chih-Fan Pai , Yujie Tang

A cantilever beam under axial flow, confined or not, is known to develop self-sustained oscillations at sufficiently large flow velocities. In recent decades, the analysis of this archetypal system has been mostly pursued under linearized…

Chaotic Dynamics · Physics 2024-10-14 Filipe Soares , José Antunes , Christophe Vergez , Vincent Debut , Bruno Cochelin , Fabrice Silva

Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant…

Optimization and Control · Mathematics 2020-08-24 John W. Simpson-Porco

This paper proposes a novel two-layer Volt/VAR control (VVC) framework to regulate the voltage profiles across an unbalanced active distribution system, which achieves both the efficient open-loop optimization and accurate closed-loop…

Systems and Control · Electrical Eng. & Systems 2019-12-25 Yifei Guo , Qianzhi Zhang , Zhaoyu Wang , Fankun Bu , Yuxuan Yuan

We present calculations on the deformation of two- and three-layer electret systems. The electrical field is coupled with the stress-strain equations by means of the Maxwell stress tensor. In the simulations, two-phase systems are…

Materials Science · Physics 2007-05-23 Enis Tuncer , Michael Wegener , Reimund Gerhard-Multhaupt

This paper develops a Closed-Loop Error Learning Control (CLELC) algorithm for feedback linearizable systems with experimental validation on a mobile robot. Traditional feedback and feedforward controllers are designed based on the nominal…

Robotics · Computer Science 2021-03-17 Erkan Kayacan

We use linear control theory to construct an output feedback controller for the attenuation of small-amplitude Tollmien-Schlichting (TS) wavepackets in a flat-plate boundary layer.We distribute evenly in the spanwise direction up to 72…

Fluid Dynamics · Physics 2014-02-05 R. Dadfar , N. Fabbiane , S. Bagheri , D. S. Henningson

The positive-real and bounded-real lemmas solve two important linear-quadratic optimal control problems for passive and non-expansive systems, respectively. The lemmas assume controllability, yet a passive or non-expansive system can be…

Systems and Control · Computer Science 2018-01-24 Timothy H. Hughes

We provide a model to investigate feedback control of entanglement. It consists of two distant (two-level) atoms which interact through a radiation field and becomes entangled. We then show the possibility to stabilize such entanglement…

Quantum Physics · Physics 2009-11-10 Stefano Mancini , Jin Wang

This article is devoted to the stabilization of two underactuated planar systems, the well-known straight beam-and-ball system and an original circular beam-and-ball system. The feedback control for each system is designed, using the Jordan…

Robotics · Computer Science 2010-12-01 Yannick Aoustin , Alexander Formal'skii

Angle-constrained formation control has attracted much attention from control community due to the advantage that inter-edge angles are invariant under uniform translations, rotations, and scalings of the whole formation. However, almost…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Kun Li , Zhixi Shen , Gangshan Jing , Yongduan Song

Linearized complex Ginzburg-Landau equation models various physical phenomena and the stability controls of them are important. In this paper, we study the control of the LCGLE with a simultaneously space and time dependent coefficient by…

Optimization and Control · Mathematics 2007-05-23 Junji Jia

Recently it has been shown, in several settings, how to carry out adaptive control for an LTI plant so that a convolution bound holds on the closed-loop behavior; this, in turn, has been leveraged to prove robustness of the closed-loop…

Optimization and Control · Mathematics 2022-09-02 Mohamad T. Shahab , Daniel E. Miller

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

Systems and Control · Electrical Eng. & Systems 2020-01-17 Andrea Cristofaro , Francesco Ferrante

We consider linear control systems of the form $\dot{y}(t)=Ay(t)-\mu B C y(t)$ where $\mu$ is a positive real parameter, $A$ is the state operator and generates a linear $C_0-$semigroup of contractions $S(t) $ on a Banach space $X$, $B$ and…

Dynamical Systems · Mathematics 2020-06-02 K. Ammari , S. El Alaoui , M. Ouzahra

This paper considers the problem of real-time control and learning in dynamic systems subjected to parametric uncertainties. We propose a combination of a Reinforcement Learning (RL) based policy in the outer loop suitably chosen to ensure…

Machine Learning · Computer Science 2023-06-13 Anuradha M. Annaswamy , Anubhav Guha , Yingnan Cui , Sunbochen Tang , Peter A. Fisher , Joseph E. Gaudio