Advertisement

Robust H control for discrete switched systems with random sensor and actuator faults

  • Yonghui LiuEmail author
  • Yugang Niu
Regular Papers Control Theory and Applications

Abstract

In this paper, the problem of robust H control is considered for a class of discrete switched systems with state unavailable. A key feature of the controlled system is that the random faults are assumed to occur from the sensor to the controller and from the controller to the actuator, simultaneously. Moreover, the missing probability of each channel is governed by a random variable that satisfying certain probabilistic distribution in the interval [0; θ] (θ ≥ 1), which is a more general form of fault model. First, an observer-based feedback controller is designed. And then, by adopting the average dwell time method, a sufficient condition for the mean-square exponential stability and a guaranteed performance of the system are obtained. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method.

Keywords

Average dwell time H control sensor/actuator faults switched systems 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    J. Jiang and X. Yu, “Fault-tolerant control systems: A comparative study between active and passive approaches,” IFAC Annual Reviewsin Control, vol. 36, no. 1, pp. 60–72, 2012. [click]CrossRefGoogle Scholar
  2. [2]
    G. Yang, J. L. Wang, and Y. C. Soh, “Reliable H controller design for linear systems,” Automatica, vol. 37, no. 5, pp. 717–725, 2001.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    Y. Li, S. Sui, and S. Tong, “Adaptive fuzzy control design for stochastic nonlinear switched systems with arbitrary switchings and unmodeled dynamics,” IEEE Transactions on Cybernetics, vol. 47, no. 2, pp. 403–414, 2017. [click]Google Scholar
  4. [4]
    Y. H. Liu, Y. Niu, and Y. Y. Zou, “Adaptive sliding mode reliable control for switched systems with actuator degra- dation,” IET Control Theory & Applications, vol. 9, no. 8, pp. 1197–1204, 2015. [click]CrossRefGoogle Scholar
  5. [5]
    Z. Wang, D.W. C. Ho, Y. Liu, and X. Liu, “Robust H control for a class of nonlinear discrete time-delay stochastic systems with missing measurements,” Automatica, vol. 45, no. 3, pp. 684–691, 2009. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    B. Chen, Y. Niu, and Y. Y. Zou, “Sliding mode control for stochastic Markovian jumping systems subject to successive packet losses,” Journal of the Franklin Institute, vol. 351, no. 4, pp. 2169–2184, 2014. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    E. Tian, D. Yue, and C. Peng, “Reliable control for net-worked control systems with probabilistic sensors and actuators faults,” IET Control Theory & Applications, vol. 4, no. 8, pp. 1478–1488, 2010. [click]CrossRefGoogle Scholar
  8. [8]
    J. Zhao and D. J. Hill, “On stability, L2-gain and H control for switched systems,” Automatica, vol. 44, no. 5, pp. 1220–1232, 2008. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    H. Lin and P. J. Antsaklis, “Stability and stabilization of switched linear systems: a survey of recent results,” IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 308–322, 2009. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    X. D. Zhao, S. Yin, H. Y. Li, and B. Niu, “Switching Stabilization for a Class of Slowly Switched Systems,” IEEE Transactions on Automatic Control, vol. 60, no. 1, pp. 221–226, 2015. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  11. [11]
    Z. R. Xiang and Q. W. Chen, “Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching,” Applied Mathematics and Computation, vol. 216, no. 3, pp. 800–811, 2010. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  12. [12]
    Z. R. Xiang, R. H. Wang, and Q. W. Chen, “Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching,” Applied Mathematics and Computation, vol. 217, no. 19, pp. 7725–7736, 2011. [click]MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    J. Lin, Y. Shi, S. Fei, and Z. Gao, “Reliable dissipative control of discrete-time switched singular systems with mixed time delays and stochastic actuator failures,” IET Control Theory & Applications, vol. 7, no 11, pp.1447–1462, 2013. [click]MathSciNetCrossRefGoogle Scholar
  14. [14]
    Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H control for networked systems with random packet losses,” IEEE Transactions on Systems, Man and Cybernetics-Part B, vol. 37, vol. 4, pp. 916–924, 2007. [click]CrossRefGoogle Scholar
  15. [15]
    D. Liberzon, Switching in Systems and Control, Birkhäuser, Boston, 2003.CrossRefzbMATHGoogle Scholar
  16. [16]
    Z. Wang, H. Dong, B. Shen, and H. Gao, “Finite-horizon H-infinity filtering with missing measurements and quantization effects,” IEEE Transactions on Automatic Control, vol. 58, vol. 7, pp. 1707–1718, 2013. [click]MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Shanghai Dianji UniversityShanghaiChina
  2. 2.Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology)Ministry of EducationShanghaiChina

Personalised recommendations