298
Views
21
CrossRef citations to date
0
Altmetric
Original Articles

Extended dissipative filtering of fuzzy systems with time-varying delay under imperfect premise matching

, &
Pages 1731-1743 | Received 27 Feb 2016, Accepted 09 Jan 2017, Published online: 02 Feb 2017

References

  • Ahn, C.K. (2013). Passive and exponential filter design for fuzzy neural networks. Information Science, 238(7), 126–137.
  • An, J., Wen, G., Lin, C., & Li, R. (2011). New results on a delay-derivative-dependent fuzzy H∞ filter design for T-S fuzzy systems. IEEE Transactions on Fuzzy Systems, 19(4), 770–779.
  • Brogliato, B., Lozano, R., Maschke, B., & Egeland, O. (2007). Dissipative systems analysis and control: Theory and applications (2nd ed). London: Springer-Verlag.
  • Choi, H.D., Ahn, C.K., Shi, P., Lim, M.T., & Song, M.K. (2015). L2 − L∞ ifltering for Takagi-Sugeno fuzzy neural networks based on Wirtinger-type inequalities. Neurocomputing, 153(0), 117–125.
  • Feng, Z., & Lam, J. (2012). Robust reliable dissipative filtering for discrete delay singular systems. Signal Processing, 92(12), 3010–3025.
  • Feng, Z., Lam, J., & Gao, H. (2011). α-Dissipativity analysis of singular time-delay systems. Automatica, 47(11), 2548–2552.
  • Gao, H., Lam, J., & Wang, C. (2006). Robust energy-to-peak filter design for stochastic time-delay systems. Systems & Control Letter, 55(2), 101–111.
  • Gao, H., Zhao, Y., Lam, J., & Chen, K. (2009). H∞ Fuzzy filtering of nonlinear systems with intermittent measurements. IEEE Transactions on Fuzzy Systems, 17(2), 291–300.
  • Gao, Q., Zeng, X.J., Feng, G., Wang, Y., & Qiu, J. (2012), T-S-fuzzy-model-based approximation and controller design for general nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 42(4), 1143–1154.
  • Grigoriadis, K.M., & Watson, J.T. (1997). Reduced-order H∞ and L2 − L∞ filtering via linear matrix inequalities. IEEE Transaction on Aerospace and Electronic Systems, 33(4), 1326–1338.
  • Huang, S.J., He, X.Q., & Zhang, N.N. (2011). New results on H∞ filter design for nonlinear systems with time delay via T-S fuzzy models. IEEE Transactions on Fuzzy Systems, 19(1), 193–199.
  • Kim, E., & Lee, H. (2000). New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Transactions on Fuzzy Systems, 8(5), 523–534.
  • Kim, H.J., Park, J.B., & Joo, Y.H. (2015). Decentralised H∞ fuzzy filter for non-linear large-scale systems under imperfect premise matching. IET Control Theory & Applications, 9(18), 2704–2714.
  • Kim, S.H. (2013). Robust Takagi-Sugeno fuzzy control design for nonlinear networked control systems with asynchronous premise variables. IET Control Theory & Applications, 7(6), 910–919.
  • Lam, H., & Narimani, M. (2009). Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching. IEEE Transactions on Fuzzy Systems, 17(4), 949–961.
  • Lam, H., & Seneviratne, L. (2011). Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching. IET Control Theory & Application, 5(15), 1689–1697.
  • Li, F., Shi, P., Wu, L., & Zhang, X. (2014). Fuzzy-model-based D-stability and nonfragile control for discrete-time descriptor systems with multiple delays. IEEE Transactions on Fuzzy Systems, 22(4), 1019–1025.
  • Li, F., & Zhang, X. (2012). A delay-dependent bounded real lemma for singular LPV systems with time-variant delay. International Journal of Robust and Nonlinear Control, 22(5), 559–574.
  • Li, H., Pan, Y., & Zhou, Q. (2015). Filter design for interval type-2 fuzzy systems with D stability constraints under a unified frame. IEEE Transactions on Fuzzy Systems, 23(3), 719–725.
  • Li, X.J., & Yang, G.H. (2013). Switching-type H∞ filter design for T-S fuzzy systems with unknown or partially unknown membership functions. IEEE Transactions on Fuzzy Systems, 21(2), 385–392.
  • Li, Y., & Liu, G.p. (2013). Delay-dependent robust dissipative filtering of stochastic genetic regulatory networks with time-varying delays. IET Control Theory & Application, 7(11), 1520–1528.
  • Li, Z., Li, J., Yu, J., & Zhao, X. (2016). Robust filter design for a class of uncertain systems with D stability constraints under a unified framework. Journal of the Franklin Institute, 353(16), 4233–4252.
  • Li, Z., & Xu, S. (2009). Fuzzy weighting-dependent approach to robust filter design for delayed fuzzy systems. Signal Processing, 89(4), 463–471.
  • Li, Z., Wang, J., & Shao, H. (2002). Delay-dependent dissipative control for linear time-delay systems. Journal of the Franklin Institute, 339(6–7), 529–542.
  • Lin, Y.C., & Lo, J.C. (2006). Robust mixed H2/H∞ filtering for time-delay fuzzy systems. IEEE Transactions on Signal Processing, 54(8), 2897–2909.
  • Liu, J., Gu, Z., Tian, E., & Yan, R. (2012). New results on H∞ filter design for nonlinear systems with time-delay through a T-S fuzzy model approach. International Journal of Systems Science, 43(3), 426–442.
  • Ma, Y., & Chen, M. (2015). Delay-dependent robust dissipative filter for T-S fuzzy descriptor time-varying delay systems. Journal of Control, Automation and Electrical Systems, 26(5), 476–483.
  • Park, P., Ko, J.W., & Jeong, C. (2011). Reciprocally convex approach to stability of systems with time-varying delays. Automatica, 47(1), 235–238.
  • Qiu, J., Ding, S., Gao, H., & Yin, S. (2016). Fuzzy-model-based reliable static output feedback H∞ control of nonlinear hyperbolic PDE systems. IEEE Transactions on Fuzzy Systems, 24(2), 388–400.
  • Qiu, J., Feng, G., & Yang, J. (2008). New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay. IET Control Theory & Application, 2(9), 795–806.
  • Qiu, J., Feng, G., & Gao, H. (2012). Observer-based piecewise affine output feedback controller synthesis of continuous-time T-S fuzzy affine dynamic systems using quantized measurements. IEEE Transactions on Fuzzy Systems, 20(6), 1046–1062.
  • Qiu, J., Feng, G., & Gao, H. (2013). Static-output-feedback H∞ control of continuous-time T-S fuzzy affine systems via piecewise Lyapunov functions. IEEE Transactions on Fuzzy Systems, 21(2), 245–261.
  • Qiu, J., Feng, G., & Yang, J. (2009). A new design of delay-dependent robust H∞ filtering for discrete-time T-S fuzzy systems with time-varying delay. IEEE Transactions on Fuzzy Systems, 17(5), 1044–1058.
  • Selvaraj, P., Sakthivel, R., Marshal Anthoni, S., Rathika, M., & Yong-Cheol, M. (2015). Dissipative sampled-data control of uncertain nonlinear systems with time-varying delays. Complexity, 21(6), 142–154. doi:10.1002/cplx.21674.
  • Seuret, A., & Gouaisbaut, F. (2013). Jensen's and Wirtinger's inequalities for time-delay systems. 11th IFAC Workshop on Time-Delay Systems ( page. 6p), Grenoble.
  • Shen, H., Park, J.H., Zhang, L., & Wu, Z.G. (2014). Robust extended dissipative control for sampled-data Markov jump systems. International Journal of Control, 87(8), 1549–1564.
  • Shi, P., Li, F., Wu, L., & Lim, C.C. (2016). Neural network-based passive filtering for delayed neutral-type Semi-Markovian jump systems. IEEE Transactions on Neural Networks and Learning Systems, PP(99), 1–14. doi:10.1109/TNNLS.2016.2573853.
  • Shi, P., Zhang, Y., Chadli, M., & Agarwal, R. (2016). Mixed H∞ and passive filtering for discrete fuzzy neural networks with stochastic jumps and time delays. IEEE Transactions on Neural Networks and Learning Systems, 27(4), 903–909.
  • Su, Y., Zhou, Q., & Gao, F. (2014). A new delay-range-dependent H∞ filter design for T-S nonlinear systems. Journal of the Franklin Institute, 351(6), 3305–3321.
  • Sun, J., Liu, G.P., & Chen, J. (2009). Delay-dependent stability and stabilization of neutral time-delay systems. International Journal of Robust & Nonlinear Control, 19(12), 1364–1375.
  • Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, SMC-15(1), 116–132.
  • Tanaka, K., Ikeda, T., & Wang, H. (1998). Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs. IEEE Transactions on Fuzzy Systems, 6(2), 250–265.
  • Tanaka, K., & Sugeno, M. (1992). Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems, 45(2), 135–156.
  • Tanaka, K., & Wang, H.O. (2004). Fuzzy control systems design and analysis: A linear matrix inequality approach, New York, NY: John Wiley & Sons.
  • Wang, J., Zhang, X., & Han, Q. (2016). Event-triggered generalized dissipativity filtering for neural networks with time-varying delays. IEEE Transactions on Neural Networks and Learning Systems, 27(1), 77–88.
  • Wu, Z.G., Shi, P., Su, H., & Chu, J. (2013). Network-based robust passive control for fuzzy systems with randomly occurring uncertainties. IEEE Transactions on Fuzzy Systems, 21(5), 966–971.
  • Yang, R., Gao, H., & Shi, P. (2011). Delay-dependent L2 − L∞ filter design for stochastic time-delay systems. IET Control Theory & Applications, 5(1), 1–8.
  • Yoneyama, J. (2009). H∞ filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach. Fuzzy Sets and Systems, 160(12), 1738–1748.
  • Zhang, B., Zheng, W.X., & Xu, S. (2011). Passivity analysis and passive control of fuzzy systems with time-varying delays. Fuzzy Sets and Systems, 174(1), 83–98.
  • Zhang, B., Zheng, W.X., & Xu, S. (2013). Filtering of Markovian jump delay systems based on a new performance index. IEEE Transaction on Circuits and System. I, Regular Papers, 60(5), 1250–1263.
  • Zhang, H., Shi, Y., & Mehr, A.S. (2010). Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data. IET Control Theory & Applications, 4(12), 2921–2936.
  • Zhang, J., & Peng, C. (2015). Event-triggered H∞ filtering for networked Takagi-Sugeno fuzzy systems with asynchronous constraints. IET Signal Processing, 9(5), 403–411.
  • Zhang, J., & Xia, Y. (2009). New LMI approach to fuzzy H∞ filter designs. IEEE Transactions on Circuits and Systems II: Express Briefs, 56(9), 739–743.
  • Zhang, J., Xia, Y., & Tao, R. (2009). New results on H∞ filtering for fuzzy time-delay systems. IEEE Transactions on Fuzzy Systems, 17(1), 128–137.
  • Zhang, X.M., & Han, Q.L. (2015). Event-based filtering for sampled-data systems. Automatica, 51(0), 55–69.
  • Zhang, Y., Shi, P., Agarwal, R.K., & Shi, Y. (2016). Dissipativity analysis for discrete time-delay fuzzy neural networks with Markovian jumps. IEEE Transactions on Fuzzy Systems, 24(2), 432–443.
  • Zhao, X., Yin, Y., Zhang, L., & Yang, H. (2016). Control of switched nonlinear systems via T-S fuzzy modeling. IEEE Transactions on Fuzzy Systems, 24(1), 235–241.
  • Zhao, X., Zhang, L., Shi, P., & Karimi, H. (2014). Novel stability criteria for T-S fuzzy systems. IEEE Transactions on Fuzzy Systems, 22(2), 313–323.
  • Zhao, Y., Gao, H., & Lam, J. (2011). New results on H∞ filtering for fuzzy systems with interval time-varying delays. Information Science, 181(11), 2356–2369.

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.