Finite-time control for discrete time-varying systems with randomly occurring non-linearity and missing measurements

Finite-time control for discrete time-varying systems with randomly occurring non-linearity and missing measurements

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In this study, the finite-time control problem is studied for discrete time-varying systems with randomly occurring non-linearity and missing measurements. The randomly occurring non-linearity is modelled according to a Bernoulli distributed white sequence with a known conditional probability. The missing measurements phenomenon is assumed to occur in a random way and the missing probabilities are time-varying with known upper and lower bounds. Two sufficient conditions are established for the existence of the state feedback and output feedback controllers, which guarantee the finite-time stochastic stability of the closed-loop systems. The recursive linear matrix inequality approach is employed to design the desired controller gains. A numerical example is provided to illustrate the effectiveness of the obtained results.


    1. 1)
      • 1. Dorato, P.: ‘Short time stability in linear time-varying systems’. Proc. of the IRE Int. Convention Record, Part 4, New York, 1961, pp. 8387.
    2. 2)
      • 2. Weiss, L., Infante, E.F.: ‘Finite time stability under perturbing forces and on product spaces’, IEEE Trans. Autom. Control, 1967, 12, pp. 5459.
    3. 3)
      • 3. Amato, F., Ariola, M., Cosentino, C.: ‘Finite-time stabilization via dynamic output feedback’, Automatica, 2006, 42, pp. 337342.
    4. 4)
      • 4. Garcia, G., Tarbouriech, S., Bernussou, J.: ‘Finite-time stabilization of linear time-varying continuous systems’, IEEE Trans. Autom. Control, 2009, 54, pp. 364369.
    5. 5)
      • 5. Amato, F., Ariola, M.: ‘Finite-time control of discrete-time linear systems’, IEEE Trans. Autom. Control, 2005, 50, pp. 724729.
    6. 6)
      • 6. Amato, F., Ariola, M., Cosentino, C.: ‘Finite-time control of discrete-time linear systems: analysis and design conditions’, Automatica, 2010, 46, pp. 919924.
    7. 7)
      • 7. Ichihara, H., Katayama, H.: ‘Finite-time control for linear discrete-time systems with input constraints’. American Control Conf., Hyatt Regency Rlverfront, St. Louis, MO, USA, 10–12 June 2009, pp. 11711176.
    8. 8)
      • 8. Rotondo, D., Nejjari, F., Puig, V.: ‘Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems’, Automatica, 2016, 63, pp. 1620.
    9. 9)
      • 9. Zong, G., Wang, R., Zheng, W., et al: ‘Finite-time control for discrete-time switched nonlinear systems with time delay’, Int. J. Robust Nonlinear Control, 2015, 25, pp. 914936.
    10. 10)
      • 10. Lin, X., Li, S., Zou, Y.: ‘Finite-time stability of switched linear systems with subsystems which are not finite-time stable’, IET Control Theory Appl., 2014, 8, pp. 11371146.
    11. 11)
      • 11. EIBsat, M.N., Yaz, E.E.: ‘Robust and resilient finite-time control of a class of discrete-time nonlinear systems’. The 18th IFAC World Congress, Milano, Italy, 28 August–2 September 2011, pp. 64546459.
    12. 12)
      • 12. EIBsat, M.N., Yaz, E.E.: ‘Robust and resilient finite-time bounded control of discrete-time uncertain nonlinear systems’, Automatica, 2013, 49, pp. 22922296.
    13. 13)
      • 13. Song, J., Niu, Y., Zuo, Y.: ‘Finite-time stabilization via sliding mode control’, IEEE Trans. Autom. Control, 2016, DOI: 10.1109/TAC. 2016.2578300.
    14. 14)
      • 14. Song, J., He, S.: ‘Finite-time robust passive control for a class of uncertain Lipschitz nonlinear systems with time-delays’, Neurocomputing, 2015, 159, pp. 275281.
    15. 15)
      • 15. Amato, F., Cosentino, C., Merola, A.: ‘Sufficient conditions for finite-time stability and stabilization of nonlinear quadratic systems’, IEEE Trans. Autom. Control, 2010, 55, pp. 430434.
    16. 16)
      • 16. Wei, Y., Zheng, W.: ‘Finite-time stochastic stabilization of Markovian jump nonlinear quadratic systems with partially known transition probabilities’, IET Control Theory Appl., 2014, 8, pp. 311318.
    17. 17)
      • 17. Chen, F., Xu, S., Zou, Y., et al: ‘Finite-time boundedness and stabilization for a class of non-linear quadratic time-delay systems with disturbances’, IET Control Theory Appl., 2013, 7, pp. 16831688.
    18. 18)
      • 18. Song, Y., Hu, J., Chen, D., et al: ‘Recursive approach to networked fault estimation with packet dropouts and randomly occurring uncertainties’, Neurocomputing, 2016, 214, pp. 340349.
    19. 19)
      • 19. Hu, J., Wang, Z., Liu, S., et al: ‘A variance-constrained approach to recursive state estimation for time-varying complex networks with missing measurements’, Automatica, 2016, 64, pp. 155162.
    20. 20)
      • 20. Hu, J., Wang, Z., Shen, B., et al: ‘Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements’, Int. J. Control, 2013, 86, pp. 650663.
    21. 21)
      • 21. Hu, J., Wang, Z., Chen, D., et al: ‘Estimation, filtering and fusion for networked systems with network-induced phenomena: new progress and prospects’, Inf. Fusion, 2016, 31, pp. 6575.
    22. 22)
      • 22. Dong, H., Wang, Z., Ding, S.X., et al: ‘Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization’, Automatica, 2015, 52, pp. 355362.
    23. 23)
      • 23. Hu, J., Chen, D., Du, J.: ‘State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays’, Int. J. General Syst., 2014, 43, pp. 387401.
    24. 24)
      • 24. Shi, P., Zhang, Y., Agarwal, R.K.: ‘Stochastic finite-time state estimation for discrete time-delay neural networks with Markovian jumps’, Neurocomputing, 2015, 151, pp. 168174.
    25. 25)
      • 25. Song, J., Niu, Y., Zou, Y.: ‘Robust finite-time bounded control for discrete-time stochastic systems with communication constraint’, IET Control Theory Appl., 2015, 9, pp. 20152021.
    26. 26)
      • 26. Song, J., Niu, Y., Wang, S.: ‘Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements’, J. Franklin Inst., 2016,

Related content

This is a required field
Please enter a valid email address