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TECHNICAL PAPERS

Robust Decentralized Adaptive Control for Interconnected Systems With Time Delays

[+] Author and Article Information
Changchun Hua1

Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, Chinacch@ysu.edu.cn

Xinping Guan2

Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, Chinaxpguan@ysu.edu.cn

Peng Shi

School of Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdompshi@glam.ac.uk

1

Corresponding author.

2

Corresponding author.

J. Dyn. Sys., Meas., Control 127(4), 656-662 (Mar 05, 2005) (7 pages) doi:10.1115/1.2101845 History: Received February 17, 2004; Revised March 05, 2005

The problem of robust stabilization for a class of time-varying nonlinear large-scale systems subject to multiple time-varying delays in the interconnections is considered. The interconnections satisfy the match condition, and are bounded by nonlinear functions that may contain a high-order polynomial with a time delay. Without the knowledge of these bounds, we present adaptive state feedback controllers that are continuous and independent of time delays. Based on the Lyapunov stability theorem, we prove that the controllers can render the closed loop systems uniformly ultimately bounded stable. We also apply the result to constructing adaptive feedback controllers to stabilize a class of interconnected systems whose nominal systems are linear. Finally, several examples are given to show the potential of the proposed techniques.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 6

The states response curves of system 22 with δij=10

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Figure 5

The states response curves of system 22 with δij=5

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Figure 4

The states response curves of system 22 with δij=1

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Figure 3

The states response curves of system 21 with δij=10

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Figure 2

The states response curves of system 21 with δij=5

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Figure 1

The states response curves of system 21 with δij=1

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