Robust Fault-Tolerant Control for a Class of Uncertain Discrete Time-Delay Systems

Abstract:

The problem of robust fault-tolerant control for the uncertain time-delay system with state and control delays is studied.The considered system has sensor or actuator failures.Based on Lyapunov stability theory and linear matrix inequality(LMI),a method of robust fault-tolerant against sensor or actuator failures for uncertain system was proposed via memoryless feedback control law.The sufficient for the closed-loop system possessing integrity against sensor or actuator failures are given.At the same time,the controller design method is the linear matrix inequality(LMI).Finally,the numerical example and simulations demonstrate the validity of the proposed method.

• Periodical: Advanced Materials Research (Volumes 532-533)
• Pages: 521-526
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.532-533.521
• Online since: June 2012
• Authors: De Gong Zhao, Yue Chao Ma
• Keywords: Actuator Failure, Linear Matrix Inequality (LMI), Robust Fault-Tolerant, Sensor Failure, Time Delay System

References

[1] Zhang Gang and Wang Zhiquan, "Robust Fault-tolerant Controller Design for Nonlinear Uncertain Time-delay Systems with Constrains of Consisitent Indices," Control and Decision, vol. 21, p.666–671, Jun. 2006.

[2] Wang Youqing and Zhou Donghua, "Robust fault-tolerant control of nonlinear systems," Systems Engineering and Electronics, vol. 28, p.1378–1383, Sep. 2006.

[3] Chen Yuepeng, Zhang Qingling and Yao Bo, "Robust quadratic stabilization with integrity for descriptor systems, " ACTA AUTOMATICA SINICA, vol. 28, p.615–619, July 2002.

[4] Wang Guosheng, Xie Yongcheng, "Design Method of Robust Fault-tolerance Control in Linear Systems, " Journal of Academy of Armord Force Engineering, vol. 23, p.57–60, Aug. 2009.

[5] Dong Xueping and Wang Zhiquan, "Robust fault-tolerant control for a class of uncertain nonlinear switched systems" Control and Desition, vol. 24, p.916–920, Jun. 2009.

[6] Yang Hong, Sun Jinsheng and Wang Zhiquan, "Robust Fault-tolerant Control of Uncertain Time-delay Systems," Journal of NanJing University of Science And Technology, vol. 29, p.132–143, Feb. 2005.

DOI: 10.1109/ccdc.2008.4597384

[7] Ma Xicheng, "On Robust Fault-tolerant Control of Uncertain Time-delay Systems,"Control Engineering of China, vol. 15, p.174–177, Sep. 2008.

[8] Boyd S, Ghaoui L EI, Feron E, Balakrishnan V. Linear Matrix Inequality in System and Control Theory, Philadelphia: Society for Industrial and Applied Mathematics,1994.

DOI: 10.1137/1.9781611970777

[9] Kwon O M, Park J H. On limoroved Delay-Dependent Robust Control for Uncertain time-delay systems [J]. IEEE Trans on Automatic Control, 2004, 49(11):1991-1995.

DOI: 10.1109/tac.2004.837563