Fuzzy approximation-based adaptive backstepping optimal control for a class of nonlinear discrete-time systems with dead-zone

IEEE Transactions on Fuzzy Systems

Volumn 24, Issue 1, 2016, Pages 16-28

  Liu, Yan Jun ^a   Gao, Ying ^a   Tong, Shaocheng ^a   Li, Yongming ^a  

^a LIAONING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Adaptive fuzzy control; dead zone input; nonlinear systems; optimal control; reinforcement learning

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; BACKSTEPPING; CONTROL SYSTEM STABILITY; CONTROLLERS; DESIGN; DIGITAL CONTROL SYSTEMS; FUZZY CONTROL; FUZZY LOGIC; LEARNING ALGORITHMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; OPTIMIZATION; REINFORCEMENT LEARNING; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS;

ADAPTIVE BACK-STEPPING; ADAPTIVE FUZZY CONTROL; DEAD-ZONE INPUTS; FUZZY APPROXIMATION; LYAPUNOV FUNCTION METHOD; NONLINEAR DISCRETE-TIME SYSTEMS; OPTIMAL CONTROL DESIGN; OPTIMAL CONTROLS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84962062334     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2015.2418000     Document Type: Article

References (46)

1. W. He, S. S. Ge, and S. Zhang, "Adaptive boundary control of a flexible marine installation system," Automatica, vol. 47, no. 12, pp. 2728-2734, 2011
2. W.He, S. Zhang, and S. S.Ge, "Adaptive control of a flexible crane system with the boundary output constraint," IEEE Trans. Ind. Electron., vol. 61, no. 8, pp. 4126-4133, Aug. 2014
3. W. He, C. Sun, and S. S. Ge, "Top tension control of a flexible marine riser by using integral-barrier Lyapunov function," IEEE/ASME Trans. Mechatronics, vol. 20, no. 2, pp. 497-505, Apr. 2015
4. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Netw., vol. 1, no. 1, pp. 4-27, Mar. 1990
5. H. Li, X. Sun, L.Wu, and H. K. Lam, "State and output feedback control of a class of fuzzy systems with mismatched membership functions," IEEE Trans. Fuzzy Syst., to be published
6. H. K. Lam and S. H. Tsai, "Stability analysis of polynomial-fuzzy-modelbased control systems with mismatch premise membership functions," IEEE Trans. Fuzzy Syst., vol. 22, no. 1, pp. 223-229, Feb. 2014
7. Z. J. Li, X. Q. Cao, and N. Ding, "Adaptive fuzzy control for synchronization of nonlinear teleoperators with stochastic time-varying communication delays," IEEE Trans. Fuzzy Syst., vol. 19, no. 4, pp. 745-757, Aug., 2011
8. W. S. Chen, L. C. Jiao, R. H. Li, and J. Li, "Adaptive backstepping fuzzy control for nonlinearly parameterized systemswith periodic disturbances," IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 674-685, Aug. 2010
9. S. I. Han and J.M. Lee, "Partial tracking error constrained fuzzy dynamic surface control for a strict feedback nonlinear dynamic system," IEEE Trans. Fuzzy Syst., vol. 22, no. 5, pp. 1049-1061, Oct. 2014
10. T. Wang, Y. Zhang, J. Qiu, and H. Gao, "Adaptive Fuzzy backstepping control for a class of nonlinear systems with sampled and delayed measurements," IEEE Trans. Fuzzy Syst., vol. 23, no. 2, pp. 302 -312, Apr. 2015
11. G. A. Rovithakis andM. A. Christodoulou, "Adaptive control of unknown plants using dynamical neural networks," IEEE Trans. Syst.,Man Cybern., vol. 24, no. 3, pp. 400-412, Mar. 1994
12. S. S. Ge, J. Zhang, and T. H. Lee, "Adaptive neural network control for a class of MIMO nonlinear systems with disturbances in discrete-time," IEEE Trans. Syst.,Man, Cybern. B, Cybern., vol. 34, no. 4, pp. 1630-1645, Aug. 2004
13. S. S. Ge, G. Y. Li, and T. H. Lee, "Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems," Automatica, vol. 39, no. 5, pp. 807-819, May 2003
14. C. G.Yang, S. S. Ge, C.Xiang, T.Y. Chai, and T.H. Lee, "Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach," IEEE Trans. Neural Netw., vol. 19, no. 11, pp. 873-886, Nov. 2008
15. S. S. Ge, C. G. Yang, and T. H. Lee, "Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time," IEEE Trans. Neural Netw., vol. 19, no. 9, pp. 1599-1614, Sep. 2008
16. D. Vrabie and F. L. Lewis, "Neural network approach to continuous time direct adaptive optimal control for partially unknown nonlinear systems," Neural Netw., vol. 22, no. 3, pp. 237-246, Apr. 2009
17. H. G. Zhang, L. L. Cui, and Y. H. Luo, "Near-optimal control for nonzerosum differential games of continuous-time nonlinear systems using singlenetwork ADP," IEEE Trans. Cybern., vol. 43, no. 1, pp. 206-216, Feb. 2013
18. X. Yang, D. Liu, and Y. Huang, "Neural-network-based online optimal control for uncertain nonlinear continuous-time systems with control constraints," IET Control Theory Appl., vol. 7, no. 17, pp. 2037-2047, Nov. 2013
19. D. Liu, D. Wang, and H. Li, "Decentralized stabilization for a class of continuous-time nonlinear interconnected systems using online learning optimal control approach," IEEE Trans. Neural Netw. Learning Syst., vol. 25, no. 2, pp. 418-428, Feb. 2014
20. H. Zhang, Q. Wei, and Y. Luo, "A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear systems via the greedy HDP iteration algorithm," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 937-942, Aug. 2008
21. D. Liu, D. Wang, D. Zhao, Q. Wei, and N. Jin, "Neural-network based optimal control for a class of unknown discrete-time nonlinear systems using globalized dual heuristic programming," IEEE Trans. Autom. Sci. Eng., vol. 9, no. 3, pp. 628-634, Jul. 2012
22. Q. M.Yang and S. Jagannathan, "Reinforcement learning controller design for affine nonlinear discrete-time systems using online approximators," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 42, no. 2, pp. 377-390, Apr. 2012
23. Q. M. Yang, J. B. Vance, and S. Jagannathan, "Control of nonaffine nonlinear discrete-time systems using reinforcement learningbased linearly parameterized neural networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 994-1001, Aug. 2008
24. D. Liu, D. Wang, and X. Yang, "An iterative adaptive dynamic programming algorithm for optimal control of unknown discretetime nonlinear systems with constrained inputs," Inf. Sci., vol. 220, pp. 331-342, Jan. 2013
25. D. Liu and Q. Wei, "Finite-Approximation-error-based optimal control approach for discrete-time nonlinear systems," IEEE Trans. Cybern., vol. 43, no. 2, pp. 779-789, Apr. 2013
26. D. Liu and Q. Wei, "Policy iterative adaptive dynamic programming algorithm for discrete-time nonlinear systems," IEEE Trans. Neural Netw. Learning Syst., vol. 25, no. 3, pp. 621-634, Mar. 2014
27. H. Zhang, R. Song, Q. Wei, and T. Zhang, "Optimal tracking control for a class of nonlinear discrete-time systems with time delays based on heuristic dynamic programming," IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 1851-1862, Dec. 2011
28. P. Shih, B. C. Kaul, S. Jagannathan, and J. A. Drallmeier, "Reinforcementlearning-based output-feedback control of nonlinear discrete-time systems with application to engine emission control," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 5, pp. 1162-1179, Oct. 2009
29. B. Xu, C. Yang, and Z. Shi, "Reinforcement learning output feedback NN control using deterministic learning technique," IEEE Trans. Neural Netw. Learning Syst., vol. 25, no. 3, pp. 635-641, Mar. 2014
30. A. Boulkroune andM.M. Saad, "A fuzzy adaptive variable-structure control scheme for uncertain chaoticMIMOsystemswith sector nonlinearities and dead-zones," Expert Syst. Appl., vol. 38, no. 12, pp. 14744-14750, Nov. 2011
31. A. Boulkroune, M. M'Saad, and M. Farza, "Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities," Fuzzy Sets Syst., vol. 164, no. 1, pp. 45-65, Feb. 2011
32. J. Na, X. M. Ren, G. Herrmann, and Z. Qiao, "Adaptive neural dynamic surface control for servo systems with unknown dead-zone," Control Eng. Practice, vol. 19, no. 11, pp. 1328-1343, Nov. 2011
33. S. C. Tong and Y. M. Li, "Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones," IEEE Trans. Fuzzy Syst., vol. 20, no. 1, pp. 168-180, Feb. 2012
34. S. C. Tong and Y. M. Li, "Adaptive fuzzy output feedback control of MIMO nonlinear systems with unknown dead-zone inputs," IEEE Trans. Fuzzy Syst., vol. 21, no. 1, pp. 134-146, Feb. 2013
35. Z. Liu, F.Wang, Y. Zhang, X. Chen, and C. L. P. Chen, "Adaptive tracking control for a class of nonlinear systems with fuzzy dead-zone input," IEEE Trans. Fuzzy Syst., vol. 23, no. 1, pp. 193-204, Feb. 2015
36. B. Chen,K. Liu, and C. Lin, "Fuzzy approximation-based adaptive control of nonlinear delayed systems with unknown dead zone," IEEE Trans. Fuzzy Syst., vol. 22, no. 2, pp. 237-248, Apr. 2014
37. S. I. Han and J. M. Lee, "Precise positioning of nonsmooth dynamic systems using fuzzy wavelet echo state networks and dynamic surface sliding mode control," IEEE Trans. Ind. Electron., vol. 60, no. 11, pp. 5124-5136, Nov. 2013
38. S. I. Han and J. M. Lee, "Output-tracking-error-constrained robust positioning control for a nonsmooth nonlinear dynamic system," IEEE Trans. Ind. Electron., vol. 61, no. 12, pp. 6882-6891, Dec. 2014
39. J. Campos and F. L. Lewis, "Deadzone compensation in discrete-time using adaptive fuzzy logic," IEEE Trans. Fuzzy Syst., vol. 7, no. 7, pp. 697-707, Dec. 1999
40. V. K. Deolia, S. Purwar, and T. N. Sharma, "Backstepping control of discrete-time nonlinear system under unknown dead-zone constraint," in Proc. Int. Conf. Commun. Syst. Netw. Technol., pp. 344-349, Jun. 2011
41. Y. J. Liu, L. Liu, and S. C. Tong, "Adaptive neural network tracking design for a class of uncertain nonlinear discrete-time systems with dead-zone," Sci. China Inf. Sci., vol. 57, no. 3, pp. 032206-1-032206-12, Mar. 2014
42. Y. J. Liu and S. C. Tong, "Adaptive fuzzy control for a class of nonlinear discrete-time systems with backlash," IEEE Trans. Fuzzy Syst., vol. 22, no. 5, pp. 1359-1365, Oct. 2014
43. D. J. Li and L. Tang, "Adaptive control for a class of chemical reactor systems in discrete-time form," Neural Comput. Appl., vol. 24, no. 6, pp. 1807-1814, Jun. 2014
44. X. Zhang, H. G. Zhang, D. R. Liu, and Y. S. Kim, "Neural-networkbased reinforcement learning controller for nonlinear systems with nonsymmetric dead-zone inputs," in Proc. IEEE Symp. Adaptive Dynam. Program. Reinforcement Learning, Nashville, TN, USA, Mar. 2009, pp. 124-129
45. P. He and S. Jagannathan, "Reinforcement learning neural-network based controller for nonlinear discrete-time systems with input constraints," IEEE Trans. Systems, Man, Cybern. B, Cybern., vol. 37, no. 2, pp. 425-436, Apr. 2007
46. H. Zhang, Y. Luo, and D. Liu, "Neural network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraint," IEEE Trans. Neural Netw., vol. 20, no. 9, pp. 1490-1503, Sep. 2009