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International Journal of Control Volume 82, 2009 - Issue 3
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Original Articles

On decentralised control of non-linear interconnected systems

Karanjit Kalsi School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USACorrespondence[email protected]
,
Jianming Lian School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA
&
Stanislaw H. Żak School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA
Pages 541-554 | Received 11 Oct 2007, Accepted 07 May 2008, Published online: 23 Feb 2009
 
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Abstract

The asymptotic stabilisation problem of a class of large-scale interconnected systems is considered, where the non-linear interconnections between subsystems satisfy quadratic constraints that are functions of the whole system's state vector. A decentralised combined observer-controller compensator is proposed and analysed, where the subsystems’ state vectors are estimated using local sliding mode observers. The closed-loop system driven by the proposed decentralised compensator is guaranteed to be asymptotically stable subject to two conditions that are easily verifiable. Simulation results illustrate the effectiveness of the proposed decentralised combined observer-controller compensator.

Acknowledgements

The authors are grateful for the constructive comments of the reviewer.

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