Predictive compensation for wireless networked system with time delay and packet dropout based on T-S model. (English) Zbl 1406.93188

Summary: Based on the T-S model, a predictive compensation scheme including timer and counter for wireless networked system with long time delay and data packet dropout is proposed in this paper. By the separation principle, the state observation predictor and the state feedback controller are designed separately. For the case of fixed delay, the stability of the closed-loop networked control systems is discussed. Simulation by inverted pendulum system illustrates the effectiveness of the proposed method in wireless networked system based on T-S model.


93C42 Fuzzy control/observation systems
93B52 Feedback control
90B18 Communication networks in operations research
Full Text: DOI


[1] Lu, R.; Xu, Y.; Xue, A., \(H_\infty\) filtering for singular systems with communication delays, Signal Processing, 90, 4, 1240-1248 (2010) · Zbl 1197.94084 · doi:10.1016/j.sigpro.2009.10.007
[2] Lu, R. Q.; Wu, H. Y.; Bai, J. J., New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays, Journal of the Franklin Institute: Engineering and Applied Mathematics, 351, 3, 1386-1399 (2014) · Zbl 1395.93467 · doi:10.1016/j.jfranklin.2013.11.001
[3] Lu, R. Q.; Li, H.; Zhu, Y. P., Quantized \(H_\infty\) filtering for singular time-varying delay systems with unreliable communication channel, Circuits, Systems, and Signal Processing, 31, 2, 521-538 (2012) · Zbl 1253.94008 · doi:10.1007/s00034-011-9333-6
[4] Qian, H.; Chen, B.; Yuan, J., Enhanced routing protocol on AODV with load balance and delay restriction, Journal of Nanjing University of Science and Technology, 37, 1, 25-31 (2013)
[5] Xiang, M.; Xu, Y.; Zhang, Y., Dynamic routing strategy of wireless networks for construction crane inclination monitoring, Chinese Journal of Scientific Instrument, 33, 9, 1921-1930 (2012)
[6] He, Y. M.; Wei, L. S., Grey modeling and analysis for time-delay of star topology WNCSs, Computer Measurement & Control, 21, 3, 732-734 (2013)
[7] Zhang, J.; Xin, X. S.; Xu, H. B., Output feedback control of a class of linear time-varying systems, Acta Automatica Sinica, 40, 2, 373-378 (2014)
[8] Zhao, X.; Fei, S.; Li, T., Quantized control for nonlinear singular impulsive systems with data dropouts, Control Theory and Applications, 29, 4, 539-543 (2012)
[9] Lu, R. Q.; Xu, Y.; Xue, A. K.; Zheng, J., Networked control with state reset and quantized measurements: observer-based case, IEEE Transactions on Industrial Electronics, 60, 11, 5206-5213 (2013) · doi:10.1109/TIE.2012.2227910
[10] Lu, R. Q.; Wu, F.; Xue, A. K., Networked control with reset quantized state based on bernoulli processing, IEEE Transactions on Industrial Electronics, 61, 9, 4838-4846 (2014)
[11] Xu, Y.; Su, H.; Pan, Y., Output feedback stabilization for Markov-based nonuniformly sampled-data networked control systems, Systems and Control Letters, 62, 8, 656-663 (2013) · Zbl 1279.93087 · doi:10.1016/j.sysconle.2013.04.011
[12] Wu, Z.; Shi, P.; Su, H.; Chu, J., Passivity analysis for discrete-time stochastic markovian jump neural networks with mixed time delays, IEEE Transactions on Neural Networks, 22, 10, 1566-1575 (2011) · doi:10.1109/TNN.2011.2163203
[13] Zheng, Z. G.; Shi, P.; Su, H. Y.; Chu, J., Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled-data, IEEE Transactions on Cybernetics, 43, 6, 1796-1806 (1806)
[14] Yin, Y.; Liu, Y.; Karimi, H. R., A simplified predictive control of constrained Markov jump system with mixed uncertainties, Abstract and Applied Analysis, 2014 (2014) · Zbl 1406.93313 · doi:10.1155/2014/475808
[15] Xu, Y.; Su, H. Y.; Pan, Y. J.; Wu, Z., Robust \(H_\infty\) filtering for networked stochastic systems with randomly occurring sensor nonlinearities and packet dropouts, Signal Processing, 93, 7, 1794-1803 (2013) · doi:10.1016/j.sigpro.2012.12.022
[16] Rong, L. N.; Yu, C. D.; Guo, P. F.; Gao, H., Fault detection for wireless networked control systems with stochastic uncertainties and multiple time delays, Abstract and Applied Analysis, 2014 (2014) · Zbl 1406.93333 · doi:10.1155/2014/605214
[17] Wu, Z.; Shi, P.; Su, H.; Chu, J., Asynchronous \(l_2 - l_\infty\) filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities, Automatica, 50, 1, 180-186 (2014) · Zbl 1417.93317 · doi:10.1016/j.automatica.2013.09.041
[18] Luo, Y. B.; Jiang, X. F.; Zhong, W. M., A fuzzy Lyapunov approach for constrained T-S fuzzy systems design, Control Theory & Applications, 27, 12, 1777-1782 (2010)
[19] Wang, R. M.; Fei, S. M.; Chai, L., Predictive compensation for networked control systems, Control Theory & Applications, 28, 10, 1473-1479 (2011)
[20] Wang, Y. F.; Jing, Y. W.; Zhang, S. Y., Fault-tolerant control for nonlinear networked control systems based on observer, Control Theory and Applications, 29, 10, 1348-1352 (2012)
[21] Lu, R.; Wu, H.; Bai, J., Networked \(H_\infty\) filtering for T-S fuzzy systems with quantization and data dropouts, Journal of the Franklin Institute—Engineering and Applied Mathematics, 351, 6, 3126-3144 (2014) · Zbl 1290.93190 · doi:10.1016/j.jfranklin.2014.02.006
[22] Kang, J.; Dai, G. Z., Design of networked control systems with state observer, Control and Decision, 25, 6, 943-952 (2010)
[23] Feng, J. T.; Wang, L.; Feng, F., Analysis of linear time-invariant discrete system operating under the state feedback control with observer, Journal of Electric Power, 25, 5, 411-418 (2010)
[24] Song, X. N.; Liu, L. P., Robust observer-based H∞ control for nonlinear T-S fuzzy time-delay systems, Acta Physica Sinica, 62, 21, 490-500 (2013)
[25] Zheng, K.; Xu, J.; Yu, L., Takagi-Sugeno model-based optimal guaranteed cost fuzzy control for inverted pendulums, Control Theory and Applications, 21, 5, 703-708 (2004)
[26] Li, H. B.; Deng, J. Q.; Sun, Z. Q.; Sun, F., Delay-dependent state feedback controller design for a class of networked control systems, Control Theory & Applications, 29, 10, 1325-1330 (2012) · Zbl 1289.93113
[27] Zhong, B.; Zhan, R. J., Sliding-mode control for second order nonlinear system based on generalized Gauss function, Computer Simulation, 27, 4, 371-374 (2010)
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