4.7 Article

Adaptive error feedback regulator problem for a 1-D wave equation with velocity recirculation

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Automation & Control Systems

Robust output regulation of a non-uniform Euler-Bernoulli beam

Tingting Meng et al.

Summary: This paper proposes two observer-based control methods for regulating a variable coefficient Euler-Bernoulli beam to track prescribed references. An uncertain disturbance-free beam system is constructed and controlled through an extended observer. The theoretical results are validated with a simulation example.

ASIAN JOURNAL OF CONTROL (2023)

Article Automation & Control Systems

Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation

Jun-Jun Liu et al.

Summary: This article investigates robust output tracking for a Schrodinger equation with external disturbances in all possible channels using an observer-based approach. By designing feedforward control and error feedback control, the problem of unbounded observation operator and noncollocated regulated output and control is addressed, achieving robustness to disturbances and system uncertainty. The stability of the closed loop and convergence are established through the Riesz basis approach, with numerical simulations presented to validate the results.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2022)

Proceedings Paper Automation & Control Systems

Robust Output Regulation for a Wave Equation via Adaptive Internal Model

Bao-Zhu Guo et al.

Summary: This paper considers output regulation for a 1-d wave equation with disturbances generated from an unknown finite-dimensional exosystem. By decoupling the original system into a PDE-ODE cascade system through solving a Sylvester equation, an adaptive observer is utilized to estimate all possible unknown frequencies that affect a transformed system with disturbance only in the tracking error. Based on the estimates of the unknown frequencies, a tracking error based feedback control is designed to achieve output regulation for this PDE, using only the tracking error and achieving asymptotic convergence.

2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC) (2022)

Article Automation & Control Systems

A backstepping approach to output regulation for coupled linear wave-ODE systems

Joachim Deutscher et al.

Summary: This paper presents a new and systematic backstepping design procedure for the output regulation problem of coupled wave-ODE systems with spatially varying coefficients. The state and disturbance estimation problems are solved using a second-order natural disturbance observer, and the observer design relies on backstepping stabilization of the system. A constructive solution is provided for handling disturbances at various locations, and a wide range of exogenous signals is considered using a non-diagonalizable signal model.

AUTOMATICA (2021)

Article Automation & Control Systems

Adaptive output regulation for one-dimensional parabolic equation with nonlocal term

Weiwei Liu et al.

Summary: The article introduces the adaptive error feedback regulator design for a one-dimensional heat equation with disturbances, utilizing system transformations and observer design to stabilize the system and reduce tracking errors. Simulation results demonstrate the effectiveness of the regulator in minimizing tracking errors and ensuring system stability.

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING (2021)

Article Automation & Control Systems

Robust tracking error feedback control for output regulation of Euler-Bernoulli beam equation

Bao-Zhu Guo et al.

Summary: This paper investigates robust output tracking for an Euler-Bernoulli beam equation under the internal model principle, considering disturbances in different cases. Numerical simulations demonstrate the effectiveness of the proposed controls in various scenarios.

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS (2021)

Article Automation & Control Systems

Adaptive error feedback regulator design for 1 D heat equation

Wei Guo et al.

AUTOMATICA (2020)

Article Automation & Control Systems

Adaptive output regulator for wave PDEs with unknown harmonic disturbance

Cemal Tugrul Yilmaz et al.

AUTOMATICA (2020)

Article Automation & Control Systems

Output tracking for a 1-D heat equation with non-collocated configurations

Xiao-Hui Wu et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2020)

Article Automation & Control Systems

Trajectory Planning Approach to Output Tracking for a 1-D Wave Equation

Hongyinping Feng et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2020)

Article Mathematics, Applied

Backstepping-based adaptive error feedback regulator design for one-dimensional reaction-diffusion equation

Wei-Wei Liu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2020)

Article Mathematics, Interdisciplinary Applications

Output Tracking for One-Dimensional Wave Equation with Non-Collocated Control and Output Configuration

Jing Wei et al.

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2020)

Article Automation & Control Systems

Output Feedback Exponential Stabilization of One-Dimensional Wave Equation With Velocity Recirculation

Hua-Cheng Zhou et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2019)

Article Automation & Control Systems

Boundary Feedback Stabilization of a Class of Coupled Hyperbolic Equations With Nonlocal Terms

Lingling Su et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2018)

Article Automation & Control Systems

Adaptive error feedback regulation problem for 1D wave equation

Wei Guo et al.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2018)

Article Automation & Control Systems

Boundary Stabilization of Wave Equation With Velocity Recirculation

Lingling Su et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2017)

Article Automation & Control Systems

Output and error feedback regulator designs for linear infinite-dimensional systems

Xiaodong Xu et al.

AUTOMATICA (2017)

Article Automation & Control Systems

Finite-time output regulation for linear 2 x 2 hyperbolic systems using backstepping

Joachim Deutscher

AUTOMATICA (2017)

Article Automation & Control Systems

Controller Design for Robust Output Regulation of Regular Linear Systems

Lassi Paunonen

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2016)

Article Automation & Control Systems

THE INTERNAL MODEL PRINCIPLE FOR SYSTEMS WITH UNBOUNDED CONTROL AND OBSERVATION

Lassi Paunonen et al.

SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2014)

Article Automation & Control Systems

Nonlinear Control of the Viscous Burgers Equation: Trajectory Generation, Tracking, and Observer Design

Miroslav Krstic et al.

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME (2009)

Article Automation & Control Systems

Internal model based tracking and disturbance rejection for stable well-posed systems

R Rebarber et al.

AUTOMATICA (2003)