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Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems

Author

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  • 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, Hindawi, vol. 2012, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:176419
    DOI: 10.1155/2012/176419
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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. 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).
    4. 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).
    5. 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).
    6. 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).
    7. 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).
    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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