Abstract and Applied Analysis

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 238692, 11 pages.

Dates
First available in Project Euclid: 15 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1434398628

Digital Object Identifier
doi:10.1155/2015/238692

Mathematical Reviews number (MathSciNet)
MR3339664

Zentralblatt MATH identifier
1350.93083

Citation

Li, Yu-Lin; Li, Lin-Sheng; Zhao, Zhi-Cheng; Zhang, Jing-Gang. Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 238692, 11 pages. doi:10.1155/2015/238692. https://projecteuclid.org/euclid.aaa/1434398628


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