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Adaptive Observer‐Based Fault Estimation for Stochastic Markovian Jumping Systems

Author

Listed:
  • Shuping He
  • Fei Liu

Abstract

This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov‐Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time‐delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms.

Suggested Citation

  • Shuping He & Fei Liu, 2012. "Adaptive Observer‐Based Fault Estimation for Stochastic Markovian Jumping Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:176419
    DOI: 10.1155/2012/176419
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    References listed on IDEAS

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    1. Irada A. Dzhalladova & Jaromír Baštinec & Josef Diblík & Denys Y. Khusainov, 2011. "Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Irada A. Dzhalladova & Jaromír Baštinec & Josef Diblík & Denys Y. Khusainov, 2011. "Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, May.
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    Cited by:

    1. Xugang Feng & Jiayan Zhang & Jing Wang & Shaokang Xiong & Qiling Wu & Yetai Fei, 2014. "Predictive Function Optimization Control for a Class of Hydraulic Servo Vibration Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ze Li & Xinhao Yang, 2014. "Delay‐Dependent Robust L2 − L∞ Filtering for a Class of Fuzzy Stochastic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Yanwei Tian & Baofeng Chen, 2014. "Sufficient Conditions on the Exponential Stability of Neutral Stochastic Differential Equations with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Jianwei Xia, 2014. "Delay‐Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Yang Yu & Zengqiang Mi & Yikun Xu & Tong Zhao, 2014. "Global Multivariable Control of Permanent Magnet Synchronous Motor for Mechanical Elastic Energy Storage System under Multiclass Nonharmonic External Disturbances," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Lina Rong & Chengda Yu & Pengfei Guo & Hui Gao, 2014. "Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Fenggang Wang & Xianzhang Ling & Xun Xu & Feng Zhang, 2014. "Structural Stiffness Identification Based on the Extended Kalman Filter Research," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Tak Kuen Siu, 2014. "Integration by Parts and Martingale Representation for a Markov Chain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Li Qiu & Chengxiang Liu & Fengqi Yao & Gang Xu, 2014. "Analysis and Design of Networked Control Systems with Random Markovian Delays and Uncertain Transition Probabilities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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