Spectrum Assignment for Linear Parabolic Distributed Parameter Systems via Boundary Feedback Control

2001 ◽  
Vol 34 (13) ◽  
pp. 321-325
Author(s):  
Shin-Hao Lu ◽  
I-Kong Fong
Keyword(s):  
Feedback Control ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Boundary Feedback Control ◽  
Spectrum Assignment ◽  
Boundary Feedback ◽  
Parabolic Distributed Parameter Systems

Feedback Control of Parabolic Distributed Parameter Systems

2013 ◽  
Vol 455 ◽  
pp. 337-343
Author(s):  
Hai Long Xing ◽  
Wen Shan Cui
Keyword(s):  
Feedback Control ◽  
Closed Loop ◽  
Distributed Parameter Systems ◽  
Linear Matrix ◽  
Distributed Parameter ◽  
Closed Loop Systems ◽  
Uniformly Convergent ◽  
System States ◽  
The Stability ◽  
Parabolic Distributed Parameter Systems

In this paper, the feedback control problem is considered for a class of parabolic distributed parameter systems (DPS). By employing a new Lyapunov-Krasovskii functional as well as the linear matrix inequality (LMI), a novel feedback controller is developed, which can guarantee the closed-loop system states uniformly convergent to zero. The stability conditions for closed-loop systems can be easily checked by utilizing the numerically efficient Matlab LMI toolbox. At last, a numerical example shows the effectiveness of the presented LMI-based methods.

A study on damping rates and boundary feedback control in distributed parameter vibrating systems

2020 ◽  
Vol 488 (2) ◽  
pp. 124082
Author(s):  
Chunqiu Wei ◽  
Liangliang Li ◽  
Fei Wang ◽  
Xiaomin Cao ◽  
Yining Chen ◽  
...  
Keyword(s):  
Feedback Control ◽  
Distributed Parameter ◽  
Boundary Feedback Control ◽  
Boundary Feedback ◽  
Vibrating Systems
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