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Nonmonotonic-Based Congestion Control Schemes for a Delayed Nonlinear Network

  • Shoorangiz Shams Shamsabad FarahaniEmail author
  • Siavash Fakhimi Derakhshan
Article

Abstract

In this paper, buffer dynamic modeling for wireless sensor networks as a highly nonlinear system is accomplished in discrete time, different subsystems are achieved based on delay, and the overall model is gained by blending them. According to nonlinear dynamics point of view, considering delay in the analysis of congestion control schemes is of paramount importance. In this paper, an adaptive back-off interval selection works with the proposed robust controller. Based on queue utilization and channel estimation algorithm, congestion is detected and a suitable rate is selected by adaptive back-off interval selection. An augmented form of our proposed system is utilized for controller synthesis. A new approach is proposed for controller synthesis based on non-quadratic and common quadratic Lyapunov candidates where the former is generalized to be more relaxed. Also, the monotonicity requirement of Lyapunov’s theorem is relaxed. The closed-loop systems are globally asymptotically stable in case of delay changes resulted from queue size changes. Extended simulation results confirm the effectiveness of our proposed schemes.

Keywords

Wireless sensor networks (WSNs) Congestion control Controller synthesis Non-quadratic Lyapunov stability Linear matrix inequality (LMI) Globally asymptotically stable (GAS) 

Notes

Acknowledgement

The authors gratefully acknowledge the financial and other support of this research, provided by the Islamic Azad university Islamshahr branch, Islamshahr, Iran.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electrical Engineering, Islamshahr BranchIslamic Azad UniversityIslamshahrIran
  2. 2.Adaptive System DepartmentInstitute of Information Theory and Automation of the Czech Academy of SciencePragueCzech Republic

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