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

Yu-Lin Li, Lin-Sheng Li, Zhi-Cheng Zhao and Jing-Gang Zhang

Abstract and Applied Analysis, 2015, vol. 2015, 1-11

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:238692

DOI: 10.1155/2015/238692

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