Stability Analysis of Networked Control System Using LMI Approach

  • Authors

    • Richa Sharma
    • Deepak Nagaria
    2018-08-24
    https://doi.org/10.14419/ijet.v7i3.31.18235
  • Networked control system, Time delay, LMI, stability.

  • Abstract

    Networked control system is a closed loop system in which information or data travel through the communication network. The presence of communication network will increase time delay and information losses. Due to these losses and delay the performance of the system decreases. This paper represents an analysis to find the stability of the networked control system with the varying time hindrances present in the network. In this research, it has been assumed that the delay in time is less than the sampling period. The stability conditions for NCS have been procured with the use of the Lyapunov function approach and has been described in terms of LMI(Linear Matrix Inequality).This examination confirm the adequate state of stability through MATLAB simulation and the numerical case demonstrates the outcome.

     

     

  • References

    1. [1] Shenping X, Lixin G & Liyan W, “The Stability Analysis for a Class of Time-Delay Networked Control Systemsâ€, Chinese Control and Decision Conference, (2014).

      [2] Jian S & Jie C, “Stability analysis of networked control systems with aperiodic samplingâ€, Chinese Control Conference, (2013).

      [3] Yang R, Shi P, Liu G & Gao H, “Network-based feedback control for systems with mixed delays based on quantization and dropout compensationâ€, Automatica, Vol.47, No.12, (2011), pp.2805–2809,

      [4] Du ZP, Zhang QL & Liu LL, “Stability of singular networked control system with delay and data packet dropoutâ€, Journal of Northeastern University, Vol.30, No.1, (2009), pp.17-20.

      [5] Park M, Kwon O, Park J, Lee S, “Delay-dependent Stability Criteria for Linear Time-delay System of Neutral Typeâ€, World Academy of Engineering and Technology, (2010).

      [6] Donkers M, Heemels W, Van de Wouw N & Hetel L, “Stability analysis of networked control systems using a switched linear systems approachâ€, IEEE Transactions on Automatic Control, Vol.56, No.9, (2011), pp.2101–2115.

      [7] Tang B, Liu GP & Gui WH, “Improvement of state feedback controller design for networked control systemsâ€, IEEE Transactions on Circuits and Systems, Vol.55, No.5, (2008), pp.464–468.

      [8] Cloosterman MBG, Hetel L, Van De Wouw N, Heemels W, Daafouz J & Nijmeijer H, “Controller synthesis for networked control systemsâ€, Automatica, Vol.46, No.10, (2010), pp.1584–1594.

      [9] Izak M, Gorges D & Liu S, “Stabilization of systems with variable and uncertain period and time delayâ€, Nonlinear Analysis: Hybrid Systems, Vol.4, No.2, (2010), pp.291–305.

      [10] Zhicheng L, Fuad A,Tasawar H & Huijun G, “New results on stability analysis and stabilisation of networked control systemâ€, IET Control Theory Appl., Vol.8, (2014), pp.1707–1715.

      [11] Fatemeh K, Mohsen E & Mohammad A, “Stability analysis of networked control systems with time varying delaysâ€, Iranian Conference on Electrical Engineering, (2017).

      [12] Ashraf FK & Jihong W, “Stability and Time Delay Tolerance Analysis Approach for Networked Control Systemsâ€, Mathematical Problems in Engineering, (2015).

      [13] Xun LZ & Guang HY, “New Results on Stability Analysis of Networked Control Systemsâ€, American Control Conference, (2008).

      [14] Boyd S, El Ghaoui L, Feron E & Balakrishnan V, “Linear Matrix Inequalities in Systems and Control Theoryâ€, SIAM Frontier Series, (1994).

      [15] Katsuhiko O, Modern Control Engineering, Third Edition, Prentice Hall, (1997).

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  • How to Cite

    Sharma, R., & Nagaria, D. (2018). Stability Analysis of Networked Control System Using LMI Approach. International Journal of Engineering & Technology, 7(2.31), 249-251. https://doi.org/10.14419/ijet.v7i3.31.18235

    Received date: 2018-08-25

    Accepted date: 2018-08-25

    Published date: 2018-08-24