276
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Sampled-data H filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements

, , &
Pages 464-478 | Received 17 May 2017, Accepted 25 Nov 2017, Published online: 12 Dec 2017

References

  • Aliyu, M. D. S., & Boukas, E. K. (2011). H∞ filtering for singularly perturbed nonlinear systems. International Journal of Robust and Nonlinear Control, 21, 218–236.
  • Assawinchaichote, W., Nguang, S. K., & Shi, P. (2007). Robust H∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach. Information Sciences, 177, 1699–1714.
  • Chen, W. H., Zhang, Z. P., Wei, D., & Lu, X. M. (2015). Robust sampled-data H∞ control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals. International Journal of Systems Science, 46(15), 2832–2852.
  • Glizer, V. Y. (2008). Novel controllability conditions for a class of singularly perturbed systems with small state delays. Journal of Optimization Theory and Applications, 137, 135–156.
  • Glizer, V. Y., & Fridman, E. (2012). Stability of singularly perturbed functional-differential systems: Spectrum analysis and LMI approaches. IMA Journal of Mathematical Control and Information, 29(1), 79–111.
  • He, Y., Wang, Q. G., Lin, C., & Wu, M. (2007). Delay-range-dependent stability for systems with time-varying delay. Automatica, 43, 371–376.
  • Ji, X. F., Gao, J. F., & Chen, X. P. (2011). Robust H∞ control for uncertain linear time-delay singularly perturbed systems. Proceedings of the 30th Chinese control conference (pp. 2246–2251). Yantai, China: IEEE.
  • Kang, K. I., Park, K. S., & Lim, J. T. (2015). Exponential stability of singularly perturbed systems with time delay and uncertainties. International Journal of Systems Science, 46(1), 170–178.
  • Koo, G. B., Park, J. B., & Joo, Y. H. (2017). Sampled-data H∞ fuzzy filtering for nonlinear systems with missing measurements. Fuzzy Sets and Systems, 316, 82–98.
  • Li, L. W., & Yang, G. H. (2017). Decentralized fault detection and isolation of Markovian jump interconnected systems with unknown interconnections. International Journal of Robust and Nonlinear Control 27, 3321–3349. doi:10.1002/rnc.3743
  • Liu, H., Boukas, E. K., & Sun, F. (2006). H∞ stabilization of Markovian jumping singularly perturbed delay systems. Proceedings of the 2006 American control conference (pp. 14–16). Minneapolis MN, USA: IEEE.
  • Liu, Y. H., Li, H., Zhong Q. S., & Zhong, S. M. (2017). Robust mode-dependent control for discrete time singular Markovian jump systems with time-varying delay. Journal of Control and Decision. 1–24. doi:10.1080/23307706.2017.1341351
  • Miao, Y. Z., Ma, L., Ma, X. P., & Zhou, L. N. (2015). Fast sampling control of singularly perturbed systems with actuator saturation and L2 disturbance. Mathematical Problems in Engineering, 2015, 1–11.
  • Sakthivel, R., Srimanta, S., & Mathiyalagan, K. (2013). Admissibility analysis and control synthesis for descriptor systems with random abrupt changes. Applied Mathematics and Computation, 219, 9717–9730.
  • Shi, P., Luan, X., & Liu, F. (2012). H∞ filtering for discrete-time systems with stochastic incomplete measurement and mixed delays. IEEE Transactions on Industrial Electronics, 59, 2732–2739.
  • Wang, G. L., Huang, C., Zhang, Q. L., & Yang, C. Y. (2014). Stabilization bound of stochastic singularly perturbed systems with Markovian switching by noise control. IET Control Theory and Applications, 8(5), 367–374.
  • Wang, Z., Shen, B., & Gao, H. (2013). Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements. International Journal of Control, 86(4), 650–663.
  • Wang, Y. Y., Wang, Q. B., & Duan, D. P. (2016). H∞ filtering for singularly perturbed systems with variable sampling and missing measurements. IMA Journal of Mathematical Control and Information, 33, 485–495.
  • Wang, Y. Y., Wang, Q. B., Zhou, P. F., & Duan, D. P. (2012). Delay-dependent passivity and passification for uncertain singularly perturbed Markovian jump systems with time-varying delay. Circuits, Systems, and Signal Processing, 31, 2179–2194.
  • Wang, G. L., Zhang, Q. L., & Sreeram, V. (2010). H∞ control for discrete-time singularly perturbed systems with two Markov processes. Journal of The Franklin Institute, 347(5), 836–847.
  • Xia, W. F., Li, Y. M., Chu, Y. M., Xu, S. Y., & Zhang, Z. Q. (2017). Dissipative filter design for uncertain Markovian jump systems with mixed delays and unknown transition rates. Signal Processing, 141, 176–186.
  • Yan, Y. F., Ma, X. P., & Yang, C. Y. (2016). Stabilization bound of time-delay singularly perturbed systems with actuator saturation. Proceedings of the 35th Chinese control conference (pp. 1426–1431). Chengdu, China: IEEE.
  • Yan, H. C., Qian, F. F., Yang, F. W., & Shi, H. B. (2016). H∞ filtering for nonlinear networked systems with randomly occurring distributed delays, missing measurements and sensor saturation. Information Sciences, 370–371, 772–782.
  • Yang, C. Y., & Zhang, Q. L. (2009). Multi-objective control for T-S fuzzy singularly perturbed systems. IEEE Transactions on Fuzzy Systems, 17(1), 104–115.
  • Yang, C. Y., Zhang, Q. L., Sun, J., & Chai, T. (2011). Lur'e Lyapunov function and absolute stability criterion for Lur'e singularly perturbed systems. IEEE Transactions on Automatic Control, 56, 2666–2671.
  • Yang, C. Y., & Zhou, L. N. (2016). H∞ control and ϵ-bound estimation of discrete-time singularly perturbed systems. Circuits, Systems, and Signal Processing, 35, 2640–2654.
  • You, J., Yin, S., & Yu, Z. D. (2014). Robust estimation for discrete time-delay Markov jump systems with sensor non-linearity and missing measurements. IET Control Theory and Applications, 8(5), 330–337.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.