scholarly journals Lyapunov-based boundary feedback design for parabolic PDEs

2019 ◽  
pp. 1-14
Author(s):  
Iasson Karafyllis
Keyword(s):  
Parabolic Pdes ◽  
Boundary Feedback ◽  
Feedback Design

scholarly journals Zero dynamics modeling and boundary feedback design for parabolic systems

2006 ◽  
Vol 44 (9-10) ◽  
pp. 857-869 ◽  
Author(s):  
C.I. Byrnes ◽  
D.S. Gilliam ◽  
A. Isidori ◽  
V.I. Shubov
Keyword(s):  
Parabolic Systems ◽  
Zero Dynamics ◽  
Dynamics Modeling ◽  
Boundary Feedback ◽  
Feedback Design

Backstepping Boundary Control for Unstable Second-Order Hyperbolic PDEs and Trajectory Tracking

2009 ◽  
Author(s):  
Ramin Vatankhah ◽  
Mohammad Abediny ◽  
Hoda Sadeghian ◽  
Aria Alasty
Keyword(s):  
Trajectory Tracking ◽  
Integral Transformation ◽  
Second Order ◽  
Feedback Stabilization ◽  
Hyperbolic Partial Differential Equations ◽  
Backstepping Method ◽  
Parabolic Pdes ◽  
Oscillatory Systems ◽  
Boundary Feedback ◽  
Physical Phenomena

In this paper, a problem of boundary feedback stabilization of second order hyperbolic partial differential equations (PDEs) is considered. These equations serve as a model for physical phenomena such as oscillatory systems like strings and beams. The controllers are designed using a backstepping method, which has been recently developed for parabolic PDEs. With the integral transformation and boundary feedback the unstable PDE is converted into a system which is stable in sense of Lyapunov. Then taylorian expansion is used to achieve the goal of trajectory tracking. It means design a boundary controller such that output of the system follows an arbitrary map. The designs are illustrated with simulations.

Approximate Identification in view of LQG Feedback Design

1992 ◽  
Author(s):  
Richard G. Hakvoort ◽  
Ruud J.P. Schrama ◽  
Paul M.J. Van den Hof
Keyword(s):  
Feedback Design
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