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Original Articles

Finite-time mixed H and passive filtering for Takagi–Sugeno fuzzy nonhomogeneous Markovian jump systems

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Pages 1416-1427 | Received 28 Apr 2016, Accepted 01 Nov 2016, Published online: 08 Dec 2016

References

  • Balasubramaniam, P., Revathi, V.M., & Park, J.H. (2013). L2–L∞ filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities. Applied Mathematics and Computation, 219, 9524–9542.
  • Benzaouia, A., Hajjaji, A.E., Hmamed, A., & Oubah, R. (2015). Fault tolerant saturated control for T-S fuzzy discrete-time systems with delays. Nonlinear Analysis: Hybrid Systems, 18, 60–71.
  • Chadli, M., & Darouach, M. (2014). Further enhancement on robust control design for discrete-time singular systems. IEEE Transactions on Automatic Control, 59, 494–499.
  • Chen, H., & Wang, L. (2014). Delay-dependent robust L2–L∞ filter design for uncertain neutral stochastic systems with mixed delays. Digital Signal Processing, 30, 184–194.
  • Chen, J., Xu, S., Zhang, B., Chu, Y., & Zou, Y. (2016). New relaxed stability and stabilization conditions for continuous-time T-S fuzzy models. Information Sciences, 329, 447–460.
  • Cheng, J., Zhu, H., Zhong, S., Zeng, Y., & Hou, L. (2014). Finite-time H∞ filtering for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. International Journal of Adaptive Control and Signal Processing, 28, 1024-1042.
  • Cheng, J., Zhu, H., Zhong, S., Zhong, Q., & Zeng, Y. (2015). Finite-time H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching. Communications in Nonlinear Science and Numerical Simulation, 20, 571–582.
  • Choi, H.D., Ahn, C.K., Shi, P., Lim, M.T., & Song, M.K. (2015). L2–L∞ filtering for Takagi–Sugeno fuzzy neural networks based on Wirtinger-type inequalities. Neurocomputing, 153, 117–125.
  • Han, L., Qiu, C., & Xiao, J. (2016). Finite-time H∞ control synthesis for nonlinear switched systems using T-S fuzzy model. Neurocomputing, 171, 156–170.
  • Han, L., Xiao, J., Qiu, C., & Huang, J. (2015). Decentralised H∞ finite-time control equation of large-scale switched systems using robust performance minimisation. International Journal of Systems Science, 47, 2302–2317.
  • Lam, H.K., Li, H., Deters, C., Secco, E.L., Wurdemann, H.A., & Althoefer, K. (2014). Control design for interval type-2 fuzzy systems under imperfect premise matching. IEEE Transactions on Industrial Electronics, 61, 956–968.
  • Lam, H.K., Wu, L., & Zhao, Y. (2014). Linear matrix inequalities-based membership function-dependent stability analysis for non-parallel distributed compensation fuzzy-model-based control systems. IET Control Theory & Applications, 8, 614–625.
  • Li, H., Gao, H., Shi, P., & Zhao, X. (2014). Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach. Automatica, 50, 1825–1834.
  • Li, H., Jing, X., Lam, H.K., & Shi, P. (2014). Fuzzy sampled-data control for uncertain vehicle suspension systems. IEEE Transactions on Cybernetics, 44, 1111–1126.
  • Li, F., Shen, H., Chen, M., & Kong, Q. (2015). Non-fragile finite-time l2–L∞ state estimation for discrete-time Markov jump neural networks with unreliable communication links. Applied Mathematics and Computation, 271, 467–481.
  • Li, H., Shi, P., Yao, D., & Wu, L. (2016). Observer-based adaptive sliding mode control of nonlinear Markovian jump systems. Automatica, 64, 133–142.
  • Li, H., Sun, X., Shi, P., & Lam, H.K. (2015). Control design of interval type-2 fuzzy systems with actuator fault: Sampled-data control approach. Information Sciences, 302, 1–13.
  • Li, H., Wu, C., Shi, P., & Gao, Y. (2015). Control of nonlinear networked systems with packet dropouts: Interval type-2 fuzzy model-based approach. IEEE Transactions on Cybernetics, 45, 2378–2389.
  • Li, H., Yin, S., Pan, Y., & Lam, H.K. (2015). Model reduction for interval type-2 Takagi–Sugeno fuzzy systems. Automatica, 61, 308–314.
  • Liu, H., Shi, P., Karimi, H.R., & Chadli, M. (2016). Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay. International Journal of Systems Science, 47, 1433–1444.
  • Liu, Y., Yin, Y., Liu, F., & Teo, K.L. (2015). Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process. Nonlinear Analysis: Hybrid Systems, 17, 1–9.
  • Lu, R., Lou, B., & Xue, A.K. (2015). Mode-dependent quantised H∞ filtering for Markovian jump singular system. International Journal of Systems Science, 46, 1817–1824.
  • Sakthivel, R., Joby, M., Mathiyalagan, K., & Santra, S. (2015). Mixed H∞ passive control for singular Markovian jump systems with time delays. Journal of the Franklin Institute, 352, 4446–4466.
  • Shen, H., Park, J.H., & Wu, Z.G. (2014). Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Nonlinear Dynamics, 77, 1709–1720.
  • 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, 1549–1564.
  • Shen, H., Wu, Z.G., & Park, J.H. (2015). Reliable mixed passive and H∞ filtering for semi-Markov jump systems with randomly occurring uncertainties and sensor failures. International Journal of Robust and Nonlinear Control, 25, 3231–3251.
  • Shen, H., Zhu, Y., Zhang, L., & Park, J.H. (2016). Extended dissipative state estimation for Markov jump neural networks with unreliable links. IEEE Transactions on Neural Networks and Learning Systems. Advance online publication. doi:10.1109/TNNLS.2015.2511196
  • Shen, M., & Fei, S. (2015). A constructive method to static output stabilisation of Markov jump systems. International Journal of Control, 88, 990–1000.
  • Shen, M., Park, J.H., & Ye, D. (2015). Extended H∞ filtering of Markov jump nonlinear systems with general uncertain transition probabilities. Journal of the Franklin Institute, 352, 5269–5291.
  • Shi, P., Zhang, Y., Chadli, M., & Agarwal, R.K. (2016). Mixed H-infinity and passive filtering for discrete fuzzy neural networks with stochastic jumps and time delays. IEEE Transactions on Neural Networks and Learning Systems, 27, 903–909.
  • Tao, J., Su, H., Lu, R., & Wu, Z.G. (2016). Dissipativity-based filtering of nonlinear periodic Markovian jump systems: The discrete-time case. Neurocomputing, 171, 807–814.
  • Wang, G., & Xu, S. (2015). Robust H∞ filtering for singular time-delayed systems with uncertain Markovian switching probabilities. International Journal of Robust and Nonlinear Control, 25, 376–393.
  • Wang, H., & Zhu, Q. (2015). Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica, 54, 284–291.
  • Wang, L.K., Peng, J.L., & Liu, X.D. (2016). H∞ filtering design for continuous-time Takagi–Sugeno fuzzy model with immeasurable premise variables. Neurocomputing, 173, 2090–2096.
  • Wei, Y., Qiu, J., & Karimi, H.R. (2015). Quantized H∞ filtering for continuous-time Markovian jump systems with deficient mode information. Asian Journal of Control, 17, 1914–1923.
  • Wei, Y., Qiu, J., Karimi, H.R., & Wang, M. (2014). Filtering design for two-dimensional Markovian jump systems with state-delays and deficient mode information. Information Sciences, 269, 316–331.
  • Wen, J., Peng, L., & Nguang, S.K. (2014). Finite-time H∞ control for discrete-time Markovian jump systems subject to average dwell time. Transactions of the Institute of Measurement and Control, 36, 683–695.
  • Wu, Z., Park, J.H., Su, H., Song, B., & Chu, J. (2013). Mixed H∞ and passive filtering for singular systems with time delays. Signal Processing, 93, 1705–1711.
  • Wu, Z.G., Shi, P., Su, H., & Chu, J. (2014). Asynchronous l2–l∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica, 50, 180–186.
  • Yin, Y., Shi, P., Liu, F., & Teo, K.L. (2013). Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems. Signal Processing, 93, 2381–2391.
  • Yin, Y., Shi, P., Liu, F., Teo, K.L., & Lim, C.C. (2015). Robust filtering for nonlinear nonhomogeneous Markov jump systems by fuzzy approximation approach. IEEE Transactions on Cybernetics, 45, 1706–1716.
  • Zhang, D., Cai, W., & Wang, Q.G. (2014). Mixed H∞ and passivity based state estimation for fuzzy neural networks with Markovian-type estimator gain change. Neurocomputing, 139, 321–327.
  • Zhang, H., Shi, Y., & Wang, J. (2014b). On energy-to-peak filtering for nonuniformly sampled nonlinear systems: A Markovian jump system approach. IEEE Transactions on Fuzzy Systems, 22, 1706–1716.
  • Zhang, Y., Cheng, G., & Liu, C. (2014a). Finite-time unbiased H∞ filtering for discrete jump time-delay systems. Applied Mathematical Modelling, 38, 3339–3349.
  • Zhong, Q., Bai, J., Wen, B., Li, S., & Zhong, F. (2014). Finite-time boundedness filtering for discrete-time Markovian jump system subject to partly unknown transition probabilities. ISA Transactions, 53, 1107–1118.
  • Zhu, Q. (2016). Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching. International Journal of Control. Advance online publication. doi:10.1080/00207179.2016.1219069
  • Zhu, Q., & Cao, J. (2010). Robust exponential stability of Markovian jump impulsive stochastic Cohen–Grossberg neural networks with mixed time delays. IEEE Transactions on Neural Networks, 21, 1314–1325.
  • Zhu, Q., & Cao, J. (2012a). Stability of Markovian jump neural networks with impulse control and time varying delays. Nonlinear Analysis: Real World Applications, 13, 2259–2270.
  • Zhu, Q., & Cao, J. (2012b). Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays. IEEE Transactions on Neural Networks and Learning Systems, 23, 467–479.
  • Zhu, Q., Xi, F., & Li, X. (2012). Robust exponential stability of stochastically nonlinear jump systems with mixed time delays. Journal of Optimization Theory and Applications, 154, 154–174.

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