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The Stability Analysis and Planning for Multivariable Linear Time-Delay Systems and its Application in Supervision Oilfield

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Abstract:

Based on Lyapunovs theory of stability, analyze on a control process of oil-water separation with time-delay, coupling and uncertainty in the unite station. a equation of sufficient condition for multi-variable Linear Delayed Systems with delayed independent stabilization is derived and another forms are also given. Based on this, several simple criterions for judging independent stabilization from linear delayed system are presented. We also discuss the exponential stability for delayed system and also provide the sufficient condition of exponential stability with any appointed convergent rate and its corresponding deductions. Using these conditions, we can choose a set of suitable parameters to reduce the conservation. By calculating and being compared with methods of the literature, the results show that our methods have less conservation.

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Periodical:

Advanced Materials Research (Volume 709)

Pages:

727-730

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.709.727

Citation:

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Online since:

June 2013

Authors:

Ren Wang, Xue Kun Qi, Long Xing

Keywords:

Dependent Stability, Multi-Variable Linear Systems, Process of Oil-Water Separation, Supervision Oilfield

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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References

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