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We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the integral plus state-feedback control of the motion systems with…

最优化与控制 · 数学 2025-02-18 Michael Ruderman

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

最优化与控制 · 数学 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

In this work, we consider the problem of boundary stabilization for a quasilinear 2X2 system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with actuation on only one end of the domain, which achieves H^2…

最优化与控制 · 数学 2012-09-03 Jean-Michel Coron , Rafael Vazquez , Miroslav Krstic , Georges Bastin

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

系统与控制 · 电气工程与系统科学 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

We study the stability and stabilizability of a continuous-time switched control system that consists of the time-invariant $n$-dimensional subsystems \dot{x}=A_ix+B_i(x)u\quad (x\in\mathbb{R}^n, t\in\mathbb{R}_+ \textrm{and}…

系统与控制 · 计算机科学 2012-01-11 Xiongping Dai

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global…

最优化与控制 · 数学 2024-05-17 Ling Ma , Vincent Andrieu , Daniele Astolfi , Mathieu Bajodek , Cheng-Zhong Xu , Xuyang Lou

In this note we study the generation of attractive oscillations of a class of mechanical systems with underactuation one. The proposed design consists of two terms, i.e., a partial linearizing state feedback, and an immersion and invariance…

最优化与控制 · 数学 2022-10-31 Jose Guadalupe Romero , Bowen Yi

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

系统与控制 · 计算机科学 2019-03-19 Wonseok Ha , Juhoon Back

This paper presents novel stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. We distinguish and study two particular settings: i) the \emph{robust} case, in which the…

最优化与控制 · 数学 2023-06-21 Matteo Della Rossa , Thiago Alves Lima , Marc Jungers , Raphaël M. Jungers

Exact discrete-time models of nonlinear systems are difficult or impossible to obtain, and hence approximate models may be employed for control design. Most existing results provide conditions under which the stability of the approximate…

系统与控制 · 电气工程与系统科学 2022-07-15 Alexis J. Vallarella , Paula Cardone , Hernan Haimovich

This paper is concerned with the stabilization problem of singular fractional order systems with order $\alpha\in(0,2)$. In addition to the sufficient and necessary condition for observer based control, a sufficient and necessary condition…

动力系统 · 数学 2020-03-30 Yiheng Wei , Jiachang Wang , Tianyu Liu , Yong Wang

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

最优化与控制 · 数学 2011-10-04 Debasish Chatterjee , Daniel Liberzon

The structure preserving stabilization of (possibly non-regular) linear port-Hamiltonian descriptor (pHDAE) systems by output feedback is discussed. For general descriptor systems the characterization when there exist output feedbacks that…

最优化与控制 · 数学 2024-10-29 Delin Chu , Volker Mehrmann

For vibrating systems, a delay in the application of a feedback control can destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixed at one end and stabilized with a boundary feedback with…

最优化与控制 · 数学 2010-06-14 Martin Gugat , Marius Tucsnak

We construct an integer-valued Lyapunov function $\sigma(\cdot)$ for generalized negative cyclic feedback system; and prove that $\sigma(\cdot)$ on any $\omega$-limit set which generated by Poincar\'{e} mapping of bounded solution of such…

动力系统 · 数学 2024-01-17 Mengmeng Gao , Dun Zhou

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…

系统与控制 · 电气工程与系统科学 2020-01-17 Andrea Cristofaro , Francesco Ferrante

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…

最优化与控制 · 数学 2013-10-11 Danielle C. Tarraf , Alexandre Megretski , Munther A. Dahleh

We consider a wide family of optical coherent feedback loops acting on an optomechanical system operating in the linearized regime. We assess the efficacy of such loops in improving key operations, such as cooling, steady-state squeezing…

量子物理 · 物理学 2021-02-17 Alfred Harwood , Matteo Brunelli , Alessio Serafini

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

系统与控制 · 电气工程与系统科学 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

We present a novel, integrated control framework designed to achieve seamless transitions among a spectrum of inverter operation modes. The operation spectrum includes grid-forming (GFM), grid-following (GFL), static synchronous compensator…

系统与控制 · 电气工程与系统科学 2024-10-14 Alireza Askarian , Jaesang Park , Srinivasa Salapaka