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Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults

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  • Yu-Lin Li
  • Lin-Sheng Li
  • Zhi-Cheng Zhao
  • Jing-Gang Zhang

Abstract

The problem of reliable control is investigated for uncertain continuous singular systems with randomly occurring time-varying delay and actuator faults in this work. The delay occurs in a random way, and such randomly occurring delay obeys certain mutually uncorrelated Bernoulli distributed white noise sequences. The uncertainties under consideration are norm-bounded, and may vary with time. Then, with the constructed Lyapunov function, a sufficient condition is given to ensure the unforced system is mean-square exponentially stable and the corresponding controller can be derived from such condition, and the actuator faults problem is guaranteed. A numerical example is provided to show the effectiveness of the methods.

Suggested Citation

  • Yu-Lin Li & Lin-Sheng Li & Zhi-Cheng Zhao & Jing-Gang Zhang, 2015. "Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-11, April.
    • Handle: RePEc:hin:jnlaaa:238692
    DOI: 10.1155/2015/238692
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