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Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

系统与控制 · 电气工程与系统科学 2022-02-04 Asifa Yousaf

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

系统与控制 · 计算机科学 2015-09-15 Hongkeun Kim , Claudio De Persis

While for coupled hyperbolic PDEs of first order there now exist numerous PDE backstepping designs, systems with zero speed, i.e., without convection but involving infinite-dimensional ODEs, which arise in many applications, from…

最优化与控制 · 数学 2022-11-28 Gustavo A. de Andrade , Rafael Vazquez , Iasson Karafyllis , Miroslav Krstic

A small-gain approach is proposed to analyze closed-loop stability of linear diffusion-reaction systems under finite-dimensional observer-based state feedback control. For this, the decomposition of the infinite-dimensional system into a…

系统与控制 · 电气工程与系统科学 2022-02-14 Lars Grüne , Thomas Meurer

This paper considers the robust cooperative output regulation for a network of parabolic PDE systems. The solution of this problem is obtained by extending the cooperative internal model principle from finite to infinite dimensions. For a…

最优化与控制 · 数学 2020-10-22 Joachim Deutscher

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

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback…

最优化与控制 · 数学 2020-06-19 Ludovic Sacchelli , Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

In this paper, we analyze the output stabilization problem for cascaded nonlinear ODE with $1-d$ heat diffusion equation affected by both in-domain and boundary perturbations. We assume that the only available part of states is the first…

最优化与控制 · 数学 2025-02-04 Abdallah Ben Abdallah , Mohsen Dlala

In this article a stabilizing feedback control is computed for a semilinear parabolic partial differential equation utilizing a nonlinear model predictive (NMPC) method. In each level of the NMPC algorithm the finite time horizon open loop…

最优化与控制 · 数学 2014-09-30 Alessandro Alla , Stefan Volkwein

We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (recently introduced in [4]), that allow to approximate a…

最优化与控制 · 数学 2024-11-15 Ludovic Sacchelli , Lucas Brivadis , Ulysse Serres , Itaï Ben Yaacov

This work concerns the internal stabilization of underactuated linear systems of $m$ heat equations in cascade, where the control is placed internally in the first equation only and the diffusion coefficients are distinct. Combining the…

最优化与控制 · 数学 2022-07-21 Constantinos Kitsos , Emilia Fridman

The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class that involves delays on both the state and the system output…

最优化与控制 · 数学 2024-06-17 Jie Qi , Jing Zhang , Miroslav Krstic

This paper considers the backstepping design of state feedback controllers for coupled linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct diffusion coefficients, spatially-varying parameters and…

最优化与控制 · 数学 2017-12-25 Joachim Deutscher , Simon Kerschbaum

This paper focuses on switching event-triggered output feedback control for a class of parabolic partial differential equation (PDE) systems subject to unknown nonlinearities and external bounded disturbance. Initially, the PDE systems is…

最优化与控制 · 数学 2024-12-30 Xiao-Yu Sun , Chuan Zhang , Huai-Ning Wu , Xian-Fu Zhang

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…

最优化与控制 · 数学 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

This paper proposes a backstepping boundary control design for robust stabilization of linear first-order coupled hyperbolic partial differential equations (PDEs) with Markov-jumping parameters. The PDE system consists of 4 X 4 coupled…

最优化与控制 · 数学 2023-12-29 Yihuai Zhang , Jean Auriol , Huan Yu

In this paper, we propose a suboptimal and reduced-order Model Predictive Control (MPC) architecture for discrete-time feedback-interconnected systems. The numerical MPC solver: (i) acts suboptimally, performing only a finite number of…

最优化与控制 · 数学 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal delay subject to stochastic error disturbance. The…

最优化与控制 · 数学 2024-01-22 Dandan Guan , Jie Qi , Mamadou Diagne

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

最优化与控制 · 数学 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

Motivated by engineering applications of subsea installation by deepwater construction vessels in oil drilling, and of aid delivery by unmanned aerial vehicles in disaster relief, we develop output-feedback boundary control of…

最优化与控制 · 数学 2020-07-20 Ji Wang , Miroslav Krstic