A variable memory state feedback and its application to robust control of uncertain singular time-delay systems

This paper is focused on the robust control of uncertain singular time-delay systems. The systems are firstly decomposed to differential-algebraic equations. The state decomposition is applied to customize a special augmented Lyapunov–Krasovskii functional and a variable memory state feedback (which...

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Bibliographic Details
Published in:Neural computing & applications 2022-02, Vol.34 (3), p.2177-2186
Main Author: Zhi, Ya-Li
Format: Article
Language:English
Subjects:
Artificial Intelligence
Computational Biology/Bioinformatics
Computational Science and Engineering
Computer Science
Control systems
Data Mining and Knowledge Discovery
Decomposition
Differential equations
Image Processing and Computer Vision
Original Article
Probability and Statistics in Computer Science
Robust control
State feedback
Theorems
Time delay systems
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Summary:This paper is focused on the robust control of uncertain singular time-delay systems. The systems are firstly decomposed to differential-algebraic equations. The state decomposition is applied to customize a special augmented Lyapunov–Krasovskii functional and a variable memory state feedback (which includes the general state feedback and memory state feedback as special cases). Then, a robust admissibility condition and a robust admissibilization condition are derived, by which less conservatism and better control effect can be obtained with less computation. Finally, the above statements are demonstrated by some numerical examples.
ISSN:0941-0643
1433-3058
DOI:10.1007/s00521-021-06524-3