Reliable Control for Uncertain Singular Systems with Randomly Occurring Time-Varying Delay and Actuator Faults. (16th April 2015)

• Record Type: Journal Article
• Authors: Li, Yu-Lin; Li, Lin-Sheng; Zhao, Zhi-Cheng; Zhang, Jing-Gang
• Other Names: Wu Zheng-Guang Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-04-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/238692
• Languages: English
• ISSNs: 1085-3375

Abstract

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.