Control of linear time-varying systems by the gradient algorithm

A control design is proposed for a linear time-varying system which exhibits sustained but bounded state oscillations. The design is based on the gradient algorithm used in adaptive parameter identification. The resultant observer-based state feedback control guarantees exponential decay of the stat...

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Published in:Proceedings of the 36th IEEE Conference on Decision and Control Vol. 5; pp. 4549 - 4553 vol.5
Main Author: Min-Shin Chen
Format: Conference Proceeding
Language:English
Published: IEEE 1997
Subjects:
Algorithm design and analysis
Control design
Control systems
Mechanical engineering
Noise measurement
Open loop systems
Optimal control
Parameter estimation
Time measurement
Time varying systems
ISBN:0780341872, 9780780341876
ISSN:0191-2216
Online Access:Get full text
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Abstract A control design is proposed for a linear time-varying system which exhibits sustained but bounded state oscillations. The design is based on the gradient algorithm used in adaptive parameter identification. The resultant observer-based state feedback control guarantees exponential decay of the state oscillation given that the system is both uniformly controllable and uniformly observable. A unique feature of the proposed control design is that it requires neither information of time derivatives of the time-varying parameters, nor prediction of future information of the time-varying parameters.
AbstractList A control design is proposed for a linear time-varying system which exhibits sustained but bounded state oscillations. The design is based on the gradient algorithm used in adaptive parameter identification. The resultant observer-based state feedback control guarantees exponential decay of the state oscillation given that the system is both uniformly controllable and uniformly observable. A unique feature of the proposed control design is that it requires neither information of time derivatives of the time-varying parameters, nor prediction of future information of the time-varying parameters.
Author Min-Shin Chen
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Snippet A control design is proposed for a linear time-varying system which exhibits sustained but bounded state oscillations. The design is based on the gradient...
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StartPage 4549
SubjectTerms Algorithm design and analysis
Control design
Control systems
Mechanical engineering
Noise measurement
Open loop systems
Optimal control
Parameter estimation
Time measurement
Time varying systems
Title Control of linear time-varying systems by the gradient algorithm
URI https://ieeexplore.ieee.org/document/649692
Volume 5
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