Adaptive fuzzy control for uncertain nonlinear systems

References

• Chen, B., Lin, C., Liu, X. P., & Liu, K. F. (2015). Adaptive fuzzy tracking control for a class of MIMO nonlinear systems in nonstrict-feedback form. IEEE Transactions on Cybernetics, 45(12), 2744–2755. doi: 10.1109/TCYB.2014.2383378
   PubMed Web of Science ®Google Scholar
• Chen, B., & Liu, X. (2005). Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping and application to chemical processes. IEEE Transactions on Fuzzy Systems, 13(6), 832–847. doi: 10.1109/TFUZZ.2005.859322
   Web of Science ®Google Scholar
• Chen, B., Liu, X. P., & Ge, S. S. (2012). Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach. IEEE Transactions on Fuzzy Systems, 20(6), 1012–1021. doi: 10.1109/TFUZZ.2012.2190048
   Web of Science ®Google Scholar
• Chen, B., Zhang, H. G., & Lin, C. (2016). Observer-based adaptive neural network control for nonlinear systems in nonstrict-feedback form. IEEE Transactions on Neural Networks and Learning Systems, 27(1), 89–98. doi: 10.1109/TNNLS.2015.2412121
   PubMed Web of Science ®Google Scholar
• Chen, B. S., Lee, C. H., & Chang, Y. C. (1996). tracking design of uncertain nonlinear SISO systems: Adaptive fuzzy approach. IEEE Transactions on Fuzzy Systems, 4(1), 32–43. doi: 10.1109/91.481843
   Web of Science ®Google Scholar
• Chen, C., Liu, Z., Xie, K., Liu, Y. J., Zhang, Y., & Chen, C. L. P. (2017). Adaptive fuzzy asymptotic control of MIMO systems with unknown input coefficients via a robust Nussbaum gain-based approach. IEEE Transactions on Fuzzy Systems, 25(5), 1252–1263. doi: 10.1109/TFUZZ.2016.2604848
   Web of Science ®Google Scholar
• Chen, W. S., & Li, J. M. (2008). Decentralized output feedback neural control for systems with unknown interconnections. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 38(1), 258–266. doi: 10.1109/TSMCB.2007.904544
   PubMed Web of Science ®Google Scholar
• Chen, W. S., & Li, J. M. (2010). Globally decentralized adaptive backstepping neural network tracking output control for unknown nonlinear interconnected systems. Asian Journal of Control, 12(1), 96–102.
   Web of Science ®Google Scholar
• Cheng, C. L., & Chang, M. H. (1998). Optimal design of fuzzy sliding-mode control: A comparative study. Fuzzy Sets and Systems, 93, 37–48. doi: 10.1016/S0165-0114(96)00221-7
   Web of Science ®Google Scholar
• Ge, S. S., & Wang, C. (2002). Direct adaptive NN control of a class of nonlinear systems. IEEE Transactions on Neural Networks, 13(1), 214–221. doi: 10.1109/72.977306
   PubMed Web of Science ®Google Scholar
• Hua, C. C., Guan, X. P., & Shi, P. (2005). Adaptive fuzzy control for uncertain interconnected time-delay systems. Fuzzy Sets and Systems, 153(3), 447–458. doi: 10.1016/j.fss.2005.01.002
   Web of Science ®Google Scholar
• Hua, C. C., Guan, X. P., & Shi, P. (2007). Robust output feedback tracking control for time-delay nonlinear systems using neural network. IEEE Transactions on Neural Networks, 18(2), 495–505. doi: 10.1109/TNN.2006.888368
   PubMed Web of Science ®Google Scholar
• Hua, C. C., Wang, Q. G., & Guan, X. P. (2009). Adaptive fuzzy output feedback controller design for nonlinear time-delay systems with unknown control direction. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 39(2), 363–374. doi: 10.1109/TSMCB.2008.2005204
   PubMed Web of Science ®Google Scholar
• Jeng, J. T., & Lee, T. T. (2000). Control of magnetic bearing systems via the Chebyshev polynomial-based unified model (CPBUM) neural network. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 30(1), 85–92. doi: 10.1109/3477.826949
   PubMed Web of Science ®Google Scholar
• Lee, H., & Tomizuka, M. (2000). Robust adaptive control using a universal approximator for SISO nonlinear systems. IEEE Transactions on Fuzzy Systems, 8(1), 95–106. doi: 10.1109/91.824777
   Web of Science ®Google Scholar
• Leu, Y. G., & Wang, W. Y. (1999). Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems. IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 29(5), 583–591. doi: 10.1109/3477.790441
   PubMed Web of Science ®Google Scholar
• Li, H. X., & Tong, S. C. (2003). A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems. IEEE Transactions on Fuzzy Systems, 11(1), 24–34. doi: 10.1109/TFUZZ.2002.806314
   Web of Science ®Google Scholar
• Li, H. Y., Wang, J., Du, H. P., & Boulkroune, A. (2017). Adaptive fuzzy backstepping tracking control for strict-feedback systems with input delay. IEEE Transactions on Fuzzy Systems, 25(3), 642–652. doi: 10.1109/TFUZZ.2016.2567457
   Web of Science ®Google Scholar
• Li, Y. M., & Tong, S. C. (2017a). Command-filtered-based fuzzy adaptive control design for MIMO-switched nonstrict-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems, 25(3), 668–681. doi: 10.1109/TFUZZ.2016.2574913
   Web of Science ®Google Scholar
• Li, Y. M., & Tong, S. C. (2017b). Adaptive neural networks decentralized FTC design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults. IEEE Transactions on Neural Networks and Learning Systems, 28(11), 2541–2554. doi: 10.1109/TNNLS.2016.2598580
   PubMed Web of Science ®Google Scholar
• Li, Y. X., & Yang, G. H. (2016). Fuzzy adaptive output feedback fault-tolerant tracking control of a class of uncertain nonlinear systems with nonaffine nonlinear faults. IEEE Transactions on Fuzzy Systems, 24(1), 223–234. doi: 10.1109/TFUZZ.2015.2452940
   Web of Science ®Google Scholar
• Lin, W. S., & Chen, C. S. (2002). Robust adaptive sliding mode control using fuzzy modelling for a class of uncertain MIMO nonlinear systems. IEE Proceedings – Control Theory and Applications, 149(3), 193–202. doi: 10.1049/ip-cta:20020236
   Google Scholar
• Long, L. J., & Zhao, J. (2016). Adaptive fuzzy output-feedback dynamic surface control of MIMO switched nonlinear systems with unknown gain signs. Fuzzy Sets and Systems, 302, 27–51. doi: 10.1016/j.fss.2015.12.006
   Web of Science ®Google Scholar
• Ordones, R., & Passino, K. M. (1999). Stable multi-input multi-output adaptive fuzzy/neural control. IEEE Transactions on Fuzzy Systems, 7(3), 345–353. doi: 10.1109/91.771089
   Web of Science ®Google Scholar
• Palm, R. (1994). Robust control by fuzzy sliding mode. Automatica, 30, 1429–1437. doi: 10.1016/0005-1098(94)90008-6
   Web of Science ®Google Scholar
• Su, C. Y., & Stepanenko, Y. (1994). Adaptive control of a class of nonlinear systems with fuzzy logic. IEEE Transactions on Fuzzy Systems, 2(4), 285–294. doi: 10.1109/91.324808
   Web of Science ®Google Scholar
• Swaroop, D., Hedrick, J. K., Yip, P. P., & Gerdes, J. C. (2000). Dynamic surface control for a class of nonlinear systems. IEEE Transactions on Automatic Control, 45(10), 1893–1899. doi: 10.1109/TAC.2000.880994
   Web of Science ®Google Scholar
• Tong, S. C., & Chai, T. Y. (1999). Fuzzy direct adaptive control for a class of nonlinear systems. Fuzzy Sets and Systems, 101, 379–381.
   Web of Science ®Google Scholar
• Tong, S. C., Chai, T. Y., & Cheng, S. (1996). Adaptive fuzzy sliding mode control for nonlinear systems. IEEE International Conference on Fuzzy Systems, 1, 49–54. doi: 10.1109/FUZZY.1996.551718
   Google Scholar
• Tong, S. C., He, X. L., Li, Y. M., & Zhang, H. G. (2010). Adaptive fuzzy backstepping robust control for uncertain nonlinear systems based on small-gain approach. Fuzzy Sets and Systems, 161(6), 771–796. doi: 10.1016/j.fss.2009.09.012
   Web of Science ®Google Scholar
• Tong, S. C., & Li, H. X. (2002). Direct adaptive fuzzy output tracking control of nonlinear systems. Fuzzy Sets and Systems, 128(1), 107–115. doi: 10.1016/S0165-0114(01)00058-6
   Web of Science ®Google Scholar
• Tong, S. C., & Li, H. X. (2003). Fuzzy adaptive sliding-mode control for MIMO nonlinear systems. IEEE Transactions on Fuzzy Systems, 11(3), 354–360. doi: 10.1109/TFUZZ.2003.812694
   Web of Science ®Google Scholar
• Tong, S. C., Li, H. X., & Chen, G. R. (2004). Adaptive fuzzy decentralized control for a class of large-scale nonlinear systems. IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 34(1), 770–775. doi: 10.1109/TSMCB.2003.817039
   PubMed Web of Science ®Google Scholar
• Tong, S. C., Li, Y., Li, Y. M., & Liu, Y. J. (2011). Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41(6), 1693–1704. doi: 10.1109/TSMCB.2011.2159264
   PubMed Web of Science ®Google Scholar
• Tong, S. C., & Li, Y. M. (2009). Observer-based fuzzy adaptive control for strict-feedback nonlinear systems. Fuzzy Sets and Systems, 160(12), 1749–1764. doi: 10.1016/j.fss.2008.09.004
   Web of Science ®Google Scholar
• Tong, S. C., & Li, Y. M. (2013). Adaptive fuzzy output feedback control of MIMO nonlinear systems with unknown dead-zone inputs. IEEE Transactions on Fuzzy Systems, 21(1), 134–146. doi: 10.1109/TFUZZ.2012.2204065
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., Feng, G., & Li, T. S. (2011). Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41(4), 1124–1135. doi: 10.1109/TSMCB.2011.2108283
   PubMed Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., & Shi, P. (2009). Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties. Information Sciences, 179(9), 1319–1332. doi: 10.1016/j.ins.2009.01.002
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., & Shi, P. (2012). Observer-Based adaptive fuzzy backstepping output feedback control of uncertain MIMO pure-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems, 20(4), 771–785. doi: 10.1109/TFUZZ.2012.2183604
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., & Sui, S. (2016). Adaptive fuzzy tracking control design for SISO uncertain nonstrict feedback nonlinear systems. IEEE Transactions on Fuzzy Systems, 24(6), 1441–1454. doi: 10.1109/TFUZZ.2016.2540058
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., & Wang, T. (2013). Adaptive fuzzy decentralized output feedback control for stochastic nonlinear large-scale systems using DSC technique. International Journal of Robust and Nonlinear Control, 23(4), 381–399. doi: 10.1002/rnc.1834
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., & Zhang, H. G. (2011). Adaptive neural network decentralized backstepping output-feedback control for nonlinear large-scale systems with time delays. IEEE Transactions on Neural Networks, 22(7), 1073–1086. doi: 10.1109/TNN.2011.2146274
   PubMed Web of Science ®Google Scholar
• Tong, S. C., Liu, C. L., & Li, Y. M. (2010). Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties. IEEE Transactions on Fuzzy Systems, 18(5), 845–861. doi: 10.1109/TFUZZ.2010.2050326
   Web of Science ®Google Scholar
• Tong, S. C., Sui, S., & Li, Y. M. (2014). Adaptive fuzzy decentralized output stabilization for stochastic nonlinear large-scale systems with unknown control directions. IEEE Transactions on Fuzzy Systems, 22(5), 1365–1372. doi: 10.1109/TFUZZ.2013.2291554
   Web of Science ®Google Scholar
• Tong, S. C., Sui, S., & Li, Y. M. (2015). Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained. IEEE Transactions on Fuzzy Systems, 23(4), 729–742. doi: 10.1109/TFUZZ.2014.2327987
   Web of Science ®Google Scholar
• Tong, S. C., Wang, T., & Tang, J. T. (2000). Fuzzy adaptive output tracking control of nonlinear systems. Fuzzy Sets and Systems, 111(2), 169–182. doi: 10.1016/S0165-0114(98)00058-X
   Web of Science ®Google Scholar
• Wang, C. H., Liu, H. L., & Lin, T. C. (2002). Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems. IEEE Transactions on Fuzzy Systems, 10(1), 39–49. doi: 10.1109/91.983277
   Web of Science ®Google Scholar
• Wang, H. Q., Chen, B., & Lin, C. (2013). Adaptive fuzzy decentralized control for a class of large-scale stochastic nonlinear systems. Neurocomputing, 103, 155–163. doi: 10.1016/j.neucom.2012.09.016
   Web of Science ®Google Scholar
• Wang, H. Q., Chen, B., Liu, K. F., Liu, X. P., & Lin, C. (2014). Adaptive neural tracking control for a class of nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis. IEEE Transactions on Neural Networks and Learning Systems, 25(5), 947–958. doi: 10.1109/TNNLS.2013.2283879
   PubMed Web of Science ®Google Scholar
• Wang, H. Q., Liu, K. F., Liu, X. P., Chen, B., & Lin, C. (2015). Neural-based adaptive output-feedback control for a class of nonstrict-feedback stochastic nonlinear systems. IEEE Transactions on Cybernetics, 45(9), 1977–1987. doi: 10.1109/TCYB.2014.2363073
   PubMed Web of Science ®Google Scholar
• Wang, H., Liu, P. X., & Shi, P. (2017). Observer-based fuzzy adaptive output-feedback control of stochastic nonlinear multiple time-delay systems. IEEE Transactions on Cybernetics, 47(9), 2568–2578. doi: 10.1109/TCYB.2017.2655501
   PubMed Web of Science ®Google Scholar
• Wang, J., Rad, A. B., & Chan, P. T. (2001). Indirect adaptive fuzzy sliding mode control: Part I: fuzzy switching. Fuzzy Sets and Systems, 122(1), 21–30. doi: 10.1016/S0165-0114(99)00179-7
   Web of Science ®Google Scholar
• Wang, L. X. (1993). Stable adaptive fuzzy control of nonlinear systems. IEEE Transactions on Fuzzy Systems, 1(2), 146–155. doi: 10.1109/91.227383
   Google Scholar
• Wang, L. X. (1994). A supervisory controller for fuzzy control systems that guarantees stability. IEEE Transactions on Automatic Control, 39(9), 1845–1847. doi: 10.1109/9.317109
   Web of Science ®Google Scholar
• Wang, M., Chen, B., & Shi, P. (2008). Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 38(3), 721–730. doi: 10.1109/TSMCB.2008.918568
   PubMed Web of Science ®Google Scholar
• Wang, M., Liu, X. P., & Shi, P. (2011). Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41(6), 1681–1692. doi: 10.1109/TSMCB.2011.2159111
   PubMed Web of Science ®Google Scholar
• Wang, W. Y., Chan, M. L., & Lee, T. T. (2000). Adaptive fuzzy control for strict-feedback canonical nonlinear systems with tracking performance. IEEE Transactions on Fuzzy Systems, 30(6), 878–885.
   Google Scholar
• Xu, B., Shi, Z. K., Yang, C. G., & Sun, F. C. (2014). Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form. IEEE Transactions on Cybernetics, 44(12), 2626–2634. doi: 10.1109/TCYB.2014.2311824
   PubMed Web of Science ®Google Scholar
• Yang, Y. C. (2000). Robust tracking control for nonlinear MIMO systems via fuzzy approaches. Automatica, 36(10), 1535–1545. doi: 10.1016/S0005-1098(00)00083-2
   Web of Science ®Google Scholar
• Yang, Y. S., Feng, G., & Ren, J. S. (2004). A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, 34(3), 406–420. doi: 10.1109/TSMCA.2004.824870
   Web of Science ®Google Scholar
• Yao, B., & Tomizuka, M. (1997). Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form. Automatica, 33(5), 893–900. doi: 10.1016/S0005-1098(96)00222-1
   Web of Science ®Google Scholar
• Yao, B., & Tomizuka, M. (2001). Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms. Automatica, 37(9), 1305–1321. doi: 10.1016/S0005-1098(01)00082-6
   Web of Science ®Google Scholar
• Yoo, S. J., & Park, J. B. (2009). Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown time-varying delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 39(5), 1316–1323. doi: 10.1109/TSMCB.2009.2016110
   PubMed Web of Science ®Google Scholar
• Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. doi: 10.1016/S0019-9958(65)90241-X
   Google Scholar
• Zhang, H. G., & Bien, Z. (2000). Adaptive fuzzy control of MIMO nonlinear systems. Fuzzy Sets and Systems, 115(2), 191–204. doi: 10.1016/S0165-0114(98)00394-7
   Web of Science ®Google Scholar
• Zhang, T. P., & Feng, C. B. (1997). Decentralized adaptive fuzzy control for large-scale nonlinear systems. Fuzzy Sets and Systems, 92(1), 61–70. doi: 10.1016/S0165-0114(96)00167-4
   Web of Science ®Google Scholar
• Zhang, T. P., & Ge, S. S. (2009). Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions. IEEE Transactions on Neural Networks, 20(3), 483–497. doi: 10.1109/TNN.2008.2010349
   PubMed Web of Science ®Google Scholar
• Zhang, T. P., & Xia, X. N. (2015). Decentralized adaptive fuzzy output feedback control of stochastic nonlinear large-scale systems with dynamic uncertainties. Information Sciences, 315, 17–38. doi: 10.1016/j.ins.2015.04.002
   Web of Science ®Google Scholar