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We tackle the boundary control and estimation problems for a class of viscous Hamilton-Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-D spatial domain. First, we solve the nonlinear trajectory…

最优化与控制 · 数学 2018-03-12 Nikolaos Bekiaris-Liberis , Rafael Vazquez

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

最优化与控制 · 数学 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

动力系统 · 数学 2016-04-26 Jan Sieber

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

最优化与控制 · 数学 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

This is the second part of four series papers, aiming at the problem of sensor dynamics compensation for abstract linear systems. Two major issues are addressed. The first one is about the sensor dynamics compensation in system observation…

系统与控制 · 电气工程与系统科学 2020-09-04 Hongyinping Feng , Xiao-Hui Wu , Bao-Zhu Guo

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

最优化与控制 · 数学 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This paper considers the problem of output feedback control for non-square multi-input multi-output systems with arbitrary relative degree. The proposed controller, based on the L1 adaptive control architecture, is designed using the right…

最优化与控制 · 数学 2024-12-20 Hanmin Lee , Venanzio Cichella , Naira Hovakimyan

Concurrent synchronization is a regime where diverse groups of fully synchronized dynamic systems stably coexist. We study global exponential synchronization and concurrent synchronization in the context of Lagrangian systems control. In a…

最优化与控制 · 数学 2009-05-18 Soon-Jo Chung , Jean-Jacques E. Slotine

This paper derives for non-linear, time-varying and feedback linearizable systems simple controller designs to achieve specified state-and timedependent complex convergence rates. This approach can be regarded as a general gain-scheduling…

混沌动力学 · 物理学 2010-04-20 Winfried Lohmiller , Jean-Jacques E. Slotine

This article presents a unified synchronization framework with application to precision formation flying spacecraft. Central to the proposed innovation, in applying synchronization to both translational and rotational dynamics in the…

最优化与控制 · 数学 2011-08-05 Soon-Jo Chung , Umair Ahsun , Jean-Jacques E. Slotine

This paper presents an approach to target tracking that is based on a variable-gain integrator and the Newton-Raphson method for finding zeros of a function. Its underscoring idea is the determination of the feedback law by measurements of…

最优化与控制 · 数学 2017-08-15 Y. Wardi , C. Seatzu , M. Egerstedt , I. Buckley

We study the problem of robust global stabilization in control-affine systems, focusing on dynamic uncertainties in the control directions \emph{and} the presence of topological obstructions that prevent the existence of smooth global…

最优化与控制 · 数学 2024-12-10 Mahmoud Abdelgalil , Jorge I. Poveda

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

最优化与控制 · 数学 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

最优化与控制 · 数学 2010-12-13 Iasson Karafyllis , Miroslav Krstic

This paper proposes the design of gain-scheduled static output feedback controllers for the stabilization of continuous-time linear parameter-varying systems with $\mathcal{L}_2$-gain performance. The system is transformed into the form of…

最优化与控制 · 数学 2024-10-28 Valessa V. Viana , Diego de S. Madeira , Thiago Alves Lima

In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

最优化与控制 · 数学 2008-02-29 Iasson Karafyllis

The design of an observer-based state feedback (OBSF) controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). The observer gain is freely chosen and the LMIs…

系统与控制 · 电气工程与系统科学 2022-12-12 Jesus Toledo , Hector Ramirez , Yongxin Wu , Yann Le Gorrec

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

系统与控制 · 电气工程与系统科学 2023-06-13 Michael Ruderman

This paper studies the cooperative tracking control problem for multiple mobile robots over a directed communication network. First, it is shown that the closed-loop system is uniformly globally asymptotically stable under the proposed…

系统与控制 · 电气工程与系统科学 2024-09-04 Liang Xu , Youfeng Su , He Cai

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie