Title
Pointwise Stabilisation Of A String With Time Delay In The Observation
Abstract
Pointwise stabilisation is proposed in this paper for a string equation where the observation signal is subject to a time delay. Different from the boundary control, the feedback stabiliser is acting at the middle joint of the string. Well-posedness of the open-loop system and solvability of the observer are shown first. An observer system is then designed to estimate the state at the time interval when the observation is available, and a predictor system is designed to predict the state at the time interval when the observation is not available. Pointwise output feedback controller is introduced to make the closed-loop system asymptotically stable for the non-smooth initial values and exponentially stable for the smooth initial values, respectively. Simulation results demonstrate that the output feedback based on the observer and predictor effectively stabilises the pointwise control system with time delay.
Year
DOI
Venue
2017
10.1080/00207179.2016.1250159
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
String equation, time delay, pointwise control, estimated state feedback, stability
Mathematical optimization,Feedback controller,Control theory,Exponential stability,Control system,Observer (quantum physics),Mathematics,Pointwise,Stability theory
Journal
Volume
Issue
ISSN
90
11
0020-7179
Citations 
PageRank 
References 
2
0.38
10
Authors
2
Name
Order
Citations
PageRank
Kunyi Yang130.77
Jun-Min Wang221929.95