scholarly journals Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance

Engineering ◽  
2020 ◽  
Vol 12 (09) ◽  
pp. 652-665
Author(s):  
Zhiyuan Li
Keyword(s):  
Wave Equation ◽  
Output Feedback ◽  
Feedback Regulation

Output feedback regulation of large-scale feedforward systems with discrete and distributed delays

2021 ◽  
Vol 103 (3) ◽  
pp. 2659-2669
Author(s):  
Qingrong Liu ◽  
Hanfeng Li ◽  
Fei Zhu ◽  
Xianfu Zhang
Keyword(s):  
Output Feedback ◽  
Large Scale ◽  
Feedback Regulation ◽  
Distributed Delays

On global output feedback regulation of Euler-Lagrange systems with bounded inputs

1997 ◽  
Vol 42 (8) ◽  
pp. 1138-1143 ◽  
Author(s):  
A. Loria ◽  
R. Kelly ◽  
R. Ortega ◽  
V. Santibanez
Keyword(s):  
Output Feedback ◽  
Feedback Regulation

Error feedback regulation for 1D anti-stable wave equation

2021 ◽  
pp. 014233122110592
Author(s):  
Zhiyuan Li ◽  
Feng-Fei Jin
Keyword(s):  
Wave Equation ◽  
Tracking Error ◽  
Feedback Regulation ◽  
Original System ◽  
Well Posedness ◽  
Error Feedback ◽  
One Dimensional ◽  
Internal Loop ◽  
Finite Dimensional ◽  
Uniformly Bounded

This paper is concerned with the boundary error feedback regulation for a one-dimensional anti-stable wave equation with distributed disturbance generated by a finite-dimensional exogenous system. Transport equation and regulator equation are introduced first to deal with the anti-damping on boundary and the distributed disturbance of the original system. Then, the tracking error and its derivative are measured to design an observer for both exosystem and auxiliary partial differential equation (PDE) system to recover the state. After proving the well-posedness of the regulator equations, we propose an observer-based controller to regulate the tracking error to zero exponentially and keep the states of all the internal loop uniformly bounded. Finally, some numerical simulations are presented to validate the effectiveness of the proposed controller.

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