Adaptive neural network tracking design for a class of uncertain nonlinear discrete-time systems with dead-zone

Science China Information Sciences

Volumn 57, Issue 3, 2014, Pages 1-12

  Liu, YanJun ^a   Liu, Lei ^a   Tong, ShaoCheng ^a  

^a LIAONING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

adaptive control; backstepping design; non symmetric dead zone; RBF neural network; uncertain nonlinear systems

Indexed keywords

ADAPTIVE CONTROL; BACKSTEPPING DESIGN; DEAD-ZONE; RBF NEURAL NETWORK; UNCERTAIN NONLINEAR SYSTEMS;

DESIGN; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; NEURAL NETWORKS; NONLINEAR FEEDBACK;

BACKSTEPPING;

EID: 84897584144     PISSN: 1674733X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11432-012-4779-0     Document Type: Article

References (42)

1. Zhang H G, Wang Y, Liu D. Delay-dependent guaranteed cost for uncertain stochastic fuzzy systems with multiple time delays. IEEE Trans Syst Man Cybern Part B: Cybern, 2008, 38: 126-140.
2. Xu X H, Zhang J Y, Zhang W H. Mean square exponential stability of stochastic neural network with reaction-diffusion terms and delays. Appl Math Lett, 2011, 24: 5-11.
3. Wang Z S, Zhang H G, Li P. An LMI approach to stability analysis of reaction-diffusion Cohen-Grossberg neural networks concerning with Dirichlet boundary conditions and distributed delays. IEEE Trans Syst Man Cybern Part B: Cybern, 2010, 40: 1596-1606.
4. Dong J X, Yang G H. H infinity controller synthesis via switched PDC scheme for discrete-time T-S fuzzy systems. IEEE Trans Fuzzy Syst, 2009, 17: 544-555.
5. Zhang H G, Quan Y B. Modeling, identification, and control of a class of nonlinear systems. IEEE Trans Fuzzy Syst, 2001, 9: 349-354.
6. Tong S C, Li C Y, Li Y M. Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst, 2009, 160: 2755-2775.
7. Tong S C, He X L, Zhang H G. A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control. IEEE Trans Fuzzy Syst, 2009, 17: 1059-1069.
8. Chen W S, Li J M. Decentralized output-feedback neural control for systems with unknown interconnections. IEEE Trans Syst Man Cybern Part B: Cybern, 2008, 38: 258-266.
9. Chen W S, Jiao L C, Li J, et al. Adaptive NN backstepping output-feedback control for stochastic nonlinear strictfeedback systems with time-varying delays. IEEE Trans Syst Man Cybern Part B: Cybern, 2010, 40: 939-950.
10. Chen M, Ge S S, Ren B B. robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans Neur Netw, 2010, 21: 796-812.
11. Yoo S J, Park J B. Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown time-varying delays. IEEE Trans Syst Man Cybern Part B: Cybern, 2009, 39: 1316-1323.
12. Li Z J, Cao X Q, Ding N. Adaptive fuzzy control for synchronization of nonlinear teleoperators with stochastic timevarying communication delays. IEEE Trans Fuzzy Syst, 2011, 19: 745-757.
13. Chen M, Ge S S, Ren B B. Robust attitude control of helicopters with actuator dynamics using neural networks. IET Contr Theory Appl, 2010, 4: 2837-2854.
14. Chen M, Jiang B, Zou J, et al. Robust adaptive tracking control of the underwater robot with input nonlinearity using neural networks. Int J Comput Intell Syst, 2010, 3: 646-655.
15. Tong S C, Li Y M. Robust adaptive fuzzy backstepping output feedback tracking control for nonlinear system with dynamic uncertainties. Sci China Inf Sci, 2010, 53: 307-324.
16. Li T S, Wang D, Feng G. A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans Syst Man Cybern Part B: Cybern, 2010, 40: 915-927.
17. Tong S C, Ren C E, Li Y M. Adaptive fuzzy decentralized control for nonlinear large-scale systems based on high-gain observer. Sci China Inf Sci, 2012, 55: 228-242.
18. Li H X, Tong S C. A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems. IEEE Trans Fuzzy Syst, 2003 11: 24-34.
19. Wang M, Zhang S Y, Chen B, et al. Direct adaptive neural control for stabilization of nonlinear time-delay systems. Sci China Inf Sci, 2010, 53: 800-812.
20. Li Z J, Adaptive neural-fuzzy control of uncertain constrained multiple coordinated nonholonomic mobile manipulators. Eng Appl Artif Intell, 2008, 21: 985-1000.
21. Li Z J, Xu C Q. Adaptive fuzzy logic control of dynamic balance and motion for wheeled inverted pendulums. Fuzzy Sets Syst, 2009, 160: 1787-1803.
22. Yoo S J, Park J B, Choi Y H. Adaptive output feedback control of flexible-joint robots using neural networks: dynamic surface design approach. IEEE Trans Neural Netw, 2008, 19: 1712-1726.
23. Ge S S, Li G Y, Lee T H. Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems. Automatica, 2003, 39: 807-819.
24. Jagannathan S, Lewis F L. Discrete-time neural net controller for a class of nonlinear dynamical systems. IEEE Trans Autom Control, 1996, 41: 1693-1699.
25. Ge S S, Li G Y, Zhang J, et al. Direct adaptive control for a class of MIMO nonlinear systems using neural networks. IEEE Trans Autom Control, 2004, 49: 2001-2006.
26. Ge S S, Zhang J, Lee T H. State feedback neural network control of a class of discrete MIMO nonlinear systems with disturbances. IEEE Trans Syst Man Cybern Part B: Cybern, 2004, 34: 1630-1645.
27. Li H X, Deng H. An approximate internal model based neural control for unknown nonlinear discrete processes. IEEE Trans Neural Netw, 2006, 17: 659-670.
28. Yang C G, Ge S S, Xiang C, et al. Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans Neural Netw, 2008, 19: 1873-1886.
29. Zhou J, Shen X Z. Robust adaptive control of nonlinear uncertain plants with unknown dead-zone. IEE Proc Control Theory Appl, 2007, 1: 25-32.
30. Yoo S J, Park J B, Choi Y H. Decentralized adaptive stabilization of interconnected nonlinear systems with unknown non-symmetric dead-zone inputs. Automatica, 2009, 45: 436-443.
31. Wang X S, Su C Y, Hong H. Robust adaptive control of a class of linear systems with unknown dead-zone. Automatica, 2004, 40: 407-413.
32. Zhou J, Wen C, Zhang Y. Adaptive output control of nonlinear systems with uncertain dead zone nonlinearity. IEEE Trans Autom Control, 2006, 51: 504-511.
33. Ibrir S, Xie W F, Su C Y. Adaptive tracking of nonlinear systems with non-symmetric dead-zone input. Automatica, 2007, 43: 522-530.
34. Lewis F L, Tim W K, Wang L Z, et al. Dead-zone compensation in motion control systems using adaptive fuzzy logic control. IEEE Trans Control Syst Technol, 1999, 7: 731-741.
35. Selmic R R, Lewis F L. Dead-zone compensation in motion control systems using neural networks. IEEE Trans Autom Control, 2000, 45: 602-613.
36. Tong S C, Li Y M. Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Trans Fuzzy Syst, 2012, 20: 168-180.
37. Chen M, Ge S S, Ren B B. Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica, 2011, 47: 452-465.
38. Chen M, Ge S S, How B V, et al. Robust adaptive position mooring control for marine vessels. IEEE Trans Control Syst Technol, 2012, DOI: 10. 1109/TCST. 2012. 2183676.
39. Tao G, Kokotovic P V. Discrete-time adaptive control of plants with unknown output dead-zones. Automatica, 1995, 31: 287-291.
40. Campos J, Lewis F L. Dead-zone compensation in discrete-time using adaptive fuzzy logic. IEEE Trans Fuzzy Syst, 1999, 7: 697-707.
41. Zhang X, Zhang H G, Liu D R, et al. Neural-network-based reinforcement learning controller for nonlinear systems with non-symmetric dead-zone inputs. In: IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, Nashville, 2009. 124-129.
42. Deolia V K, Purwar S, Sharma T N. Backstepping control of discrete-time nonlinear system under unknown dead-zone constraint. In: International Conference on Communication Systems and Network Technologies, San Francisco, 2011. 344-349.