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This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

偏微分方程分析 · 数学 2007-05-23 Jinqiao Duan , Andrei V. Fursikov

An investigation of optimal feedback controllers' performance and robustness is carried out for vortex shedding behind a 2D cylinder at low Reynolds numbers. To facilitate controller design, we present an efficient modelling approach in…

流体动力学 · 物理学 2020-07-15 Bo Jin , Simon J. Illingworth , Richard D. Sandberg

We study the output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary. With only one measurement, we construct an infinite-dimensional state observer to trace the state and design an estimated state based…

最优化与控制 · 数学 2021-05-04 Zhan-Dong Mei

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

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

最优化与控制 · 数学 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

最优化与控制 · 数学 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

We present designs for exponential stabilization of an ODE-heat PDE-ODE coupled system where the control actuation only acts in one ODE. The combination of PDE backstepping and ODE backstepping is employed in a state-feedback control law…

最优化与控制 · 数学 2019-03-26 Ji Wang , Miroslav Krstic

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

This paper presents a safe stabilization of the Stefan PDE model with a moving boundary governed by a high-order dynamics. We consider a parabolic PDE with a time-varying domain governed by a second-order response with respect to the…

最优化与控制 · 数学 2025-10-09 Shumon Koga , Miroslav Krstic

We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundary control acting at the wave endpoint. Two measurements are…

最优化与控制 · 数学 2026-01-26 Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

Based on a continuum theory, we investigate the manipulation of the non-equilibrium behavior of a sheared liquid crystal via closed-loop feedback control. Our goal is to stabilize a specific dynamical state, that is, the stationary…

软凝聚态物质 · 物理学 2015-06-17 David A. Strehober , Eckehard Schöll , Sabine H. L. Klapp

Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional…

最优化与控制 · 数学 2017-02-20 Arvind Raghunathan , Umesh Vaidya

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a…

偏微分方程分析 · 数学 2015-02-03 Mamadou Diagne , Peipei Shang , Zhiqiang Wang

We consider a one-dimensional controlled reaction-diffusion equation, where the control acts on the boundary and is subject to a constant delay. Such a model is a paradigm for more general parabolic systems coupled with a transport…

最优化与控制 · 数学 2015-11-11 Delphine Bresch-Pietri , Christophe Prieur , Emmanuel Trélat

This paper studies the global feedback stabilization problem of a system with two pistons and the area between them containing a viscous compressible fluid (gas) modeled by the Navier-Stokes equations. The control input is the force applied…

最优化与控制 · 数学 2021-04-20 Iasson Karafyllis , Miroslav Krstic

We solve the problem of output feedback stabilization of a class of nonlinear systems, which may have unstable zero dynamics. We allow for any globally stabilizing full state feedback control scheme to be used as long as it satisfies a…

系统与控制 · 计算机科学 2016-07-26 Almuatazbellah M. Boker , Hassan K. Khalil

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

最优化与控制 · 数学 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in…

流体动力学 · 物理学 2016-03-25 Peter H. Heins , Bryn Ll. Jones , Ati S. Sharma

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…