Analysis, filtering, and control for Takagi-Sugeno fuzzy models in networked systems. (English) Zbl 1342.93075

Zhang, Sunjie; Wang, Zidong; Hu, Jun; Liang, Jinling; Alsaadi, Fuad E.

Abstr. Appl. Anal. 2015, Article ID 856390, 8 p. (2015).

Summary: The fuzzy logic theory has been proven to be effective in dealing with various nonlinear systems and has a great success in industry applications. Among different kinds of models for fuzzy systems, the so-called Takagi-Sugeno (T-S) fuzzy model has been quite popular due to its convenient and simple dynamic structure as well as its capability of approximating any smooth nonlinear function to any specified accuracy within any compact set. In terms of such a model, the performance analysis and the design of controllers and filters play important roles in the research of fuzzy systems. In this paper, we aim to survey some recent advances on the T-S fuzzy control and filtering problems with various network-induced phenomena. The network-induced phenomena under consideration mainly include communication delays, packet dropouts, signal quantization, and randomly occurring uncertainties Randomly Occuring Uncertainties (ROUs). With such network-induced phenomena, the developments on T-S fuzzy control and filtering issues are reviewed in detail. In addition, some latest results on this topic are highlighted. In the end, conclusions are drawn and some possible future research directions are pointed out.

MSC:

93C42	Fuzzy control/observation systems
93E11	Filtering in stochastic control theory
93E10	Estimation and detection in stochastic control theory
93C10	Nonlinear systems in control theory

Keywords:

Takagi-Sugeno fuzzy models; networked systems; nonlinear systems; randomly occuring uncertainties

References:

[1]	Zadeh, L. A., Fuzzy sets, Information and Computation, 8, 338-353 (1965) · Zbl 0139.24606
[2]	Zadeh, L. A., Fuzzy algorithm, Information Control, 12, 94-102 (1968) · Zbl 0182.33301
[3]	Zadeh, L. A., Outline of new approach to the analysis of complex systems and decision processes, IEEE Transactions on Systems, Man, Cybernetics, SMC-3, 1, 28-44 (1973) · Zbl 0273.93002
[4]	Mamdani, E. H., Application of fuzzy algorithms for simple dynamic plant, Proceedings of the Institution of Electrical Engineers, 121, 12, 1585-1588 (1974)
[5]	Mamdani, E. H.; Assilian, S., An experiment in linguistic synthesis with a fuzzy logic controller, International Journal of Man-Machine Studies, 7, 1, 1-13 (1975) · Zbl 0301.68076
[6]	Vicente, M. A. D.; Aranguren, M. S., Fuzzy filters, Journal of Mathematical Analysis and Applications, 129, 2, 560-568 (1988) · Zbl 0647.54004
[7]	Feng, G., A survey on analysis and design of model-based fuzzy control systems, IEEE Transactions on Fuzzy Systems, 14, 5, 676-697 (2006)
[8]	Takagi, T.; Sugeno, M., Fuzzy identification of systems and its application to modelling and control, IEEE Transactions on Systems, Man, Cybernetics, 15, 1, 116-132 (1985) · Zbl 0576.93021
[9]	Tanaka, K.; Sugeno, M., Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems, 45, 2, 135-156 (1992) · Zbl 0758.93042
[10]	Bhende, C. N.; Mishra, S.; Jain, S. K., TS-fuzzy-controlled active power filter for load compensation, IEEE Transactions on Power Delivery, 21, 3, 1459-1465 (2006)
[11]	Chen, B.; Liu, X.; Liu, K.; Lin, C., Adaptive fuzzy tracking control of nonlinear MIMO systems with time-varying delays, Fuzzy Sets and Systems, 217, 1-21 (2013) · Zbl 1285.93052
[12]	Chen, C.-W., Interconnected TS fuzzy technique for nonlinear time-delay structural systems, Nonlinear Dynamics, 76, 1, 13-22 (2014) · Zbl 1319.34129
[13]	Ding, B., Development of stability research on Takagi-Sugeno fuzzy control systems and approximation of the necessary and sufficient conditions, Fuzzy Information and Engineering, 1, 4, 367-383 (2009) · Zbl 1275.93041
[14]	Hong, S. K.; Langari, R., An LMI-based \(H_\infty\) fuzzy control system design with TS framework, Information Sciences, 123, 3-4, 163-179 (2000) · Zbl 0953.93520
[15]	Hu, C.; Jiang, H.; Teng, Z., General impulsive control of chaotic systems based on a TS fuzzy model, Fuzzy Sets and Systems, 174, 66-82 (2011) · Zbl 1221.93143
[16]	Peng, C.; Han, Q.-L.; Yue, D.; Tian, E., Sampled-data robust \(H_\infty\) control for T-S fuzzy systems with time delay and uncertainties, Fuzzy Sets and Systems, 179, 1, 20-33 (2011) · Zbl 1235.93147
[17]	Peng, C.; Fei, M.-R.; Tian, E., Networked control for a class of T-S fuzzy systems with stochastic sensor faults, Fuzzy Sets and Systems, 212, 62-77 (2013) · Zbl 1285.93055
[18]	Serra, G. L.; Silva, J. A., Robust PID TS fuzzy control methodology based on gain and phase margins specifications, Journal of Intelligent & Fuzzy Systems, 26, 2, 869-888 (2014) · Zbl 1305.93125
[19]	Zhang, H.; Yang, D.; Chai, T., Guaranteed cost networked control for T-S fuzzy systems with time delays, IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews, 37, 2, 160-172 (2007)
[20]	Assawinchaichote, W.; Nguang, S. K.; Shi, P., Robust \(H_\infty\) fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: an LMI approach, Information Sciences, 177, 7, 1699-1714 (2007) · Zbl 1113.93078
[21]	Machado, J. B.; Campello, R. J. G. B.; Amaral, W. C., Takagi-Sugeno fuzzy models in the framework of orthonormal basis functions, IEEE Transactions on Cybernetics, 43, 3, 858-870 (2013)
[22]	Noh, S. Y.; Park, J. B.; Joo, Y. H., Kalman filtering for TS fuzzy state estimation, Proceedings of the SICE-ICASE International Joint Conference
[23]	Noh, S.; Park, J.; Joo, Y., A fuzzy filter with missing measurement for observer-based T-S fuzzy models, Proceedings of the International Conference on Control, Automation and Systems
[24]	Saoud, L. S.; Rahmoune, F.; Tourtchine, V.; Baddari, K., Generalized dynamical fuzzy model for identification and prediction, Journal of Intelligent and Fuzzy Systems, 26, 4, 1771-1785 (2014) · Zbl 1305.93057
[25]	Xie, L.; de Souza, C.; Fu, M., \(H_\infty\) estimation for discrete time linear uncertain systems, International Journal of Robust and Nonlinear Control, 1, 2, 111-123 (1991) · Zbl 0754.93050
[26]	Zhou, S.; Lam, J.; Xue, A., \(H_\infty\) filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach, Fuzzy Sets and Systems, 158, 2, 180-193 (2007) · Zbl 1110.93034
[27]	Qiu, J.; Feng, G.; Gao, H., Nonsynchronized-State estimation of multichannel networked nonlinear systems with multiple packet dropouts via TS Fuzzy-Affine dynamic models, IEEE Transactions on Fuzzy Systems, 19, 1, 75-90 (2011)
[28]	Zhao, Y.; Lam, J.; Gao, H., Fault detection for fuzzy systems with intermittent measurements, IEEE Transactions on Fuzzy Systems, 17, 2, 398-410 (2009)
[29]	Ahmada, H.; Namerikawa, T., Extended Kalman filter-based mobile robot localization with intermittent measurements, Systems Science and Control Engineering, 1, 1, 113-126 (2013)
[30]	Chen, M.; Feng, G.; Ma, H.; Chen, G., Delay-dependent \(H_\infty\) filter design for discrete-time fuzzy systems with time-varying delays, IEEE Transactions on Fuzzy Systems, 17, 3, 604-616 (2009)
[31]	Chen, S.-H.; Ho, W.-H.; Tsai, J.-T.; Chou, J.-H., Regularity and controllability robustness of TS fuzzy descriptor systems with structured parametric uncertainties, Information Sciences, 277, 36-55 (2014) · Zbl 1354.93085
[32]	Dong, H.; Wang, Z.; Ho, D. W. C.; Gao, H., Robust \(H_\infty\) fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements, IEEE Transactions on Fuzzy Systems, 18, 4, 712-725 (2010)
[33]	Hsu, M.-R.; Ho, W.-H.; Chou, J.-H., Stable and quadratic optimal control for TS fuzzy-model-based time-delay control systems, IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans, 38, 4, 933-944 (2008)
[34]	Hu, J.; Wang, Z.; Gao, H.; Stergioulas, L. K., Robust sliding mode control for discrete stochastic systems with mixed time delays, randomly occurring uncertainties, and randomly occurring nonlinearities, IEEE Transactions on Industrial Electronics, 59, 7, 3008-3015 (2012)
[35]	Liang, J.; Sun, F.; Liu, X., Finite-horizon \(H_\infty\) filtering for time-varying delay systems with randomly varying nonlinearities and sensor saturations, Systems Science and Control Engineering: An Open Access Journal, 2, 1, 108-118 (2014)
[36]	Mahmoud, M. S.; Saif, A.-W. A., Robust quantized approach to fuzzy networked control systems, IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2, 1, 71-81 (2012)
[37]	Wei, G.; Wang, L.; Han, F., A gain-scheduled approach to fault-tolerant control for discrete-time stochastic delayed systems with randomly occurring actuator faults, Systems Science and Control Engineering, 1, 1, 82-90 (2013)
[38]	Gassara, H.; El Hajjaji, A.; Kchaou, M.; Chaabane, M., Observer based \(\left(Q, V, R\right)-α\)-dissipative control for TS fuzzy descriptor systems with time delay, Journal of the Franklin Institute, 351, 1, 187-206 (2014) · Zbl 1293.93480
[39]	Gao, H.; Zhao, Y.; Chen, T., \(H_\infty\) fuzzy control with missing data, Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics (SMC ’07)
[40]	Nguang, S. K.; Shi, P.; Ding, S., Fault detection for uncertain fuzzy systems: an LMI approach, IEEE Transactions on Fuzzy Systems, 15, 6, 1251-1262 (2007)
[41]	Yang, X.; Yang, Z., Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects, Fuzzy Sets and Systems, 235, 1, 25-43 (2014) · Zbl 1315.93055
[42]	Ahn, C. K., Some new results on stability of Takagi-Sugeno fuzzy Hopfield neural networks, Fuzzy Sets and Systems, 179, 1, 100-111 (2011) · Zbl 1234.93088
[43]	Diba, F.; Arora, A.; Esmailzadeh, E., Optimized robust cruise control system for an electric vehicle, Systems Science and Control Engineering, 2, 1, 175-182 (2014)
[44]	Tseng, C.-S., Robust fuzzy filter design for a class of nonlinear stochastic systems, IEEE Transactions on Fuzzy Systems, 15, 2, 261-274 (2007)
[45]	Wang, X.; Yaz, E. E.; Long, J., Robust and resilient state-dependent control of discrete-time nonlinear systems with general performance criteria, Systems Science and Control Engineering, 2, 1, 48-54 (2014)
[46]	Hsiao, F.-H.; Xu, S.-D.; Lin, C.-Y.; Tsai, Z.-R., Robustness design of fuzzy control for nonlinear multiple time-delay large-scale systems via neural-network-based approach, IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, 38, 1, 244-251 (2008)
[47]	Wei, G.; Feng, G.; Wang, Z., Robust \(H_\infty\) control for discrete-time fuzzy systems with infinite-distributed delays, IEEE Transactions on Fuzzy Systems, 17, 1, 224-232 (2009)
[48]	Zheng, Y.; Fang, H.; Wang, H. O., Takagi-Sugeno fuzzy-model-based fault detection for networked control systems with Markov delays, IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, 36, 4, 924-929 (2006)
[49]	Peng, C.; Yang, T. C., Communication-delay-distribution-dependent networked control for a class of T-S fuzzy systems, IEEE Transactions on Fuzzy Systems, 18, 2, 326-335 (2010)
[50]	Zhang, H.; Lun, S.; Liu, D., Fuzzy \(H_\infty\) filter design for a class of nonlinear discrete-time systems with multiple time delays, IEEE Transactions on Fuzzy Systems, 15, 3, 453-469 (2007)
[51]	Jiang, B.; Mao, Z.; Shi, P., \(H_\infty \)-filter design for a class of networked control systems via T-S fuzzy-model approach, IEEE Transactions on Fuzzy Systems, 18, 1, 201-208 (2010)
[52]	Wu, L.; Wang, Z., Fuzzy filtering of nonlinear fuzzy stochastic systems with time-varying delay, Signal Processing, 89, 9, 1739-1753 (2009) · Zbl 1178.93141
[53]	Lin, C.; Wang, Q.-G.; Lee, T. H.; Chen, B., Hinfin; filter design for nonlinear systems with time-delay through T-S fuzzy model approach, IEEE Transactions on Fuzzy Systems, 16, 3, 739-746 (2008)
[54]	Qiu, J.; Feng, G.; Yang, J., A new design of delay-dependent robust \(H_\infty\) filtering for discrete-time T-S fuzzy systems with time-varying delay, IEEE Transactions on Fuzzy Systems, 17, 5, 1044-1058 (2009)
[55]	Zhang, H.; Zhong, H.; Dang, C., Delay-dependent decentralized H filtering for discrete-time nonlinear interconnected systems with time-varying delay based on the T-S fuzzy model, IEEE Transactions on Fuzzy Systems, 20, 3, 431-443 (2012)
[56]	Basin, M.; Sanchez, E.; Martinez-Zuniga, R., Optimal linear filtering for systems with multiple state and observation delays, International Journal of Innovative Computing, Information and Control, 3, 5, 1309-1320 (2007)
[57]	Mahmoud, M. S.; Shi, Y.; Nounou, H. N., Resilient observer-based control of uncertain time-delay systems, International Journal of Innovative Computing, Information and Control, 3, 2, 407-418 (2007)
[58]	Li, W.; Jiang, D., Robust \(H_\infty\) fault-tolerant control for networked control system based on Takagi-Sugeno fuzzy model, Proceedings of the IEEE International Conference on Intelligent Computing and Intelligent Systems (ICIS ’09)
[59]	Jiang, X.; Han, Q.-L., On designing fuzzy controllers for a class of nonlinear networked control systems, IEEE Transactions on Fuzzy Systems, 16, 4, 1050-1060 (2008)
[60]	Qiu, J.; Feng, G.; Gao, H., Asynchronous output-feedback control of networked nonlinear systems with multiple packet dropouts: T-S fuzzy affine model-based approach, IEEE Transactions on Fuzzy Systems, 19, 6, 1014-1030 (2011)
[61]	Zhou, F.; Liu, L.; Feng, G., Fuzzy decentralized control for a class of networked control systems with time delays and missing measurements, Proceedings of the 10th IEEE International Conference on Control and Automation (ICCA ’13)
[62]	Dong, H.; Wang, Z.; Lam, J.; Gao, H., Fuzzy-model-based robust fault detection with stochastic mixed time delays and successive packet dropouts, IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, 42, 2, 365-376 (2012)
[63]	Gao, H.; Zhao, Y.; Lam, J.; Chen, K., \(H_\infty\) fuzzy filtering of nonlinear systems with intermittent measurements, IEEE Transactions on Fuzzy Systems, 17, 2, 291-300 (2009)
[64]	Delchamps, D. F., Stabilizing a linear system with quantized state feedback, IEEE Transactions on Automatic Control, 35, 8, 916-924 (1990) · Zbl 0719.93067
[65]	Qiu, J.; Feng, G.; Gao, H., 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 (2012)
[66]	Zhang, H.; Yan, H.; Yang, F.; Chen, Q., Quantized control design for impulsive fuzzy networked systems, IEEE Transactions on Fuzzy Systems, 19, 6, 1153-1162 (2011)
[67]	Zhang, C.; Feng, G.; Qiu, J., Generalized \(H_2\) filter design for T-S fuzzy systems with quantization and packet loss, Proceedings of the IEEE Symposium on Computational Intelligence in Control and Automation
[68]	Wu, Z.-G.; Shi, P.; Su, H.; Chu, J., Network-based robust passive control for fuzzy systems with randomly occurring uncertainties, IEEE Transactions on Fuzzy Systems, 21, 5, 966-971 (2013)
[69]	Zhang, S.; Wang, Z.; Ding, D.; Shu, H., Fuzzy filtering with randomly occurring parameter uncertainties, interval delays, and channel fadings, IEEE Transactions on Cybernetics, 44, 3, 406-417 (2014)
[70]	Baek, J.; Park, M., Fuzzy bilinear state feedback control design based on TS fuzzy bilinear model for DC-DC converters, International Journal of Electrical Power & Energy Systems, 42, 1, 710-720 (2012)
[71]	Peng, C.; Han, Q.-L.; Yue, D., To transmit or not to transmit: a discrete event-triggered communication scheme for networked takagi-sugeno fuzzy systems, IEEE Transactions on Fuzzy Systems, 21, 1, 164-170 (2013)
[72]	Zhang, S.; Wang, Z.; Ding, D.; Shu, H., \(H_\infty\) fuzzy control with randomly occurring infinite distributed delays and channel fadings, IEEE Transactions on Fuzzy Systems, 22, 1, 189-200 (2014)
[73]	Su, X.; Shi, P.; Wu, L.; Song, Y.-D., A novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay, IEEE Transactions on Fuzzy Systems, 20, 6, 1114-1129 (2012)
[74]	Chadli, M.; Abdo, A.; Ding, S. X., \(H_- / H_\infty\) fault detection filter design for discrete-time Takagi-Sugeno fuzzy system, Automatica, 49, 7, 1996-2005 (2013) · Zbl 1364.93420
[75]	Li, X.-J.; Yang, G.-H., Switching-type \(H_\infty\) filter design for T-S fuzzy systems with unknown or partially unknown membership functions, IEEE Transactions on Fuzzy Systems, 21, 2, 385-392 (2013)
[76]	Chang, X.-H.; Yang, G.-H., Nonfragile \(H_\infty\) filter design for T-S fuzzy systems in standard form, IEEE Transactions on Industrial Electronics, 61, 7, 3448-3458 (2014)
[77]	Darouach, M.; Souley Ali, H., Optimal unbiased functional filtering in the frequency domain, Systems Science and Control Engineering, 2, 1, 308-315 (2014)
[78]	Kumar, G.; Kumar, K., Network security—an updated perspective, Systems Science and Control Engineering, 2, 1, 325-334 (2014)
[79]	Qin, L.; He, X.; Zhou, D. H., A survey of fault diagnosis for swarm systems, Systems Science and Control Engineering, 2, 1, 13-23 (2014)
[80]	Wang, Q.; Gao, H.; Alsaadi, F.; Hayat, T., An overview of consensus problems in constrained multi-agent coordination, Systems Science and Control Engineering: An Open Access Journal, 2, 1, 275-284 (2014)
[81]	Zhang, X.; Yang, L., A fiber Bragg grating quasi-distributed sensing network with a wavelength-tunable chaotic fiber laser, Systems Science and Control Engineering, 2, 1, 268-274 (2014)