Neural networks-based adaptive control for nonlinear time-varying delays systems with unknown control direction

IEEE Transactions on Neural Networks

Volumn 22, Issue 10, 2011, Pages 1599-1612

  Wen, Yuntong ^a   Ren, Xuemei ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Adaptive backstepping control; memoryless observer; neural network (NN) basis function property; nussbaum function; time varying delays systems

Indexed keywords

ADAPTIVE BACKSTEPPING CONTROL; ADAPTIVE CONTROL; ADAPTIVE OUTPUT FEEDBACK; BACK-STEPPING METHOD; CONTINUOUS FUNCTIONS; CONTROL DIRECTIONS; FUNCTION PROPERTIES; LIPSCHITZ CONDITIONS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MEMORYLESS; PARAMETER ADAPTIVE; SEMI-GLOBAL; SIMULATION EXAMPLE; SYSTEM STATE; TIME-VARYING DELAY; TRACKING ERRORS; UNIFORM ULTIMATE BOUNDEDNESS; UNKNOWN CONTROL DIRECTION;

BACKSTEPPING; CLOSED LOOP CONTROL SYSTEMS; CONTROLLERS; DELAY CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; ARTIFICIAL NEURAL NETWORK; COMPUTER PROGRAM; FEEDBACK SYSTEM; HUMAN; NONLINEAR SYSTEM; SYSTEMS THEORY; TIME;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; FEEDBACK; HUMANS; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; SOFTWARE DESIGN; SYSTEMS THEORY; TIME FACTORS;

EID: 80053651508     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2011.2165222     Document Type: Article

References (38)

1. V. B. Kolmanovskii, S.-I. Niculescu, and K. Gu, "Delay effects on stability: A survey," in Proc. 38th IEEE Conf. Decis. Control, vol. 2. Phoenix, AZ, Dec. 1999, pp. 1993-1998. (Pubitemid 30575603)
2. I. Kanellakopoulos, P. V. Kokotović, and R. Marino, "An extended direct scheme for robust adaptive nonlinear control," Automatica, vol. 27, no. 2, pp. 247-255, Mar. 1991.
3. S. S. Sastry and A. Isidori, "Adaptive control of linearization systems," IEEE Trans. Autom. Control, vol. 34, no. 11, pp. 1123-1131, Nov. 1989.
4. Y. H. Kim, F. L. Lewis, and C. T. Abdallah, "A dynamic recurrent neuralnetwork-based adaptive observer for a class of nonlinear systems," Automatica, vol. 33, no. 8, pp. 1539-1543, Aug. 1997. (Pubitemid 127392284)
5. S. N. Huang, K. K. Tan, and T. H. Lee, "Further result on a dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems," Automatica, vol. 41, no. 12, pp. 2161-2162, Dec. 2005. (Pubitemid 41525676)
6. W. J. Cao and J. X. Xu, "Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems," IEEE Trans. Autom. Control, vol. 49, no. 8, pp. 1355-1360, Aug. 2004.
7. I. Kanellakopoulos, P. V. Kokotović, and A. S. Morse, "Systematic design of adaptive controllers for feedback linearizable systems," IEEE Trans. Autom. Control, vol. 34, no. 11, pp. 1241-1253, Nov. 1991.
8. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
9. S. S. Ge and C. Wang, "Direct adaptive NN control of a class of nonlinear systems," IEEE Trans. Neural Netw., vol. 13, no. 1, pp. 211-221, Jan. 2002.
10. V. O. Nikiforov and K. V. Voronov, "Adaptive backstepping with a highorder tuner," Automatica, vol. 37, no. 12, pp. 1953-1960, Dec. 2001.
11. W. S. Chen and J. M. Li, "Decentralized output-feedback neural control for systems with unknown interconnections," IEEE Trans. Syst., Man, Cybern., Part B: Cybern., vol. 38, no. 1, pp. 258-266, Feb. 2008.
12. Y. S. Yang, G. Feng, and J. S. Ren, "A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems," IEEE Trans. Syst., Man, Cybern. Part A: Syst. Humans, vol. 34, no. 3, pp. 406-420, May 2004.
13. S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive neural control for a class of strict-feedback nonlinear systems with state time delays," IEEE Trans. Neural Netw., vol. 20, no. 7, pp. 1209-1215, Jul. 2009.
14. B. Chen, X. P. Liu, K. F. Liu, and C. Lin, "Novel adaptive neural control design for nonlinear MIMO time-delay systems," Automatica, vol. 45, no. 6, pp. 1554-1560, 2009.
15. Y. G. Leu, T. T. Lee, and W. Y. Wang, "Observer-based adaptive fuzzyneural control for unknown nonlinear dynamical systems," IEEE Trans. Syst., Man, Cybern., Part B: Cybern., vol. 29, no. 5, pp. 583-591, Oct. 1999.
16. S. C. Tong, Y. M. Li, and H.-G. Zhang, "Adaptive neural network decentralized backstepping output-feedback control for nonlinear largescale systems with time delays," IEEE Trans. Neural Netw., vol. 22, no. 7, pp. 1073-1086, Jul. 2011.
17. C. C. Hua and X. P. Guan, "Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks," IEEE Trans. Neural Netw., vol. 19, no. 4, pp. 673-688, Apr. 2008.
18. C. C. Hua, Q. G. Wang, and X. P. Guan, "Adaptive fuzzy outputfeedback controller design for nonlinear time-delay systems with unknown control direction," IEEE Trans. Syst., Man, Cybern., Part B: Cybern., vol. 39, no. 2, pp. 363-374, Apr. 2009.
19. M. Wang, S. S. Ge, and K.-S. Hong, "Approximation-based adaptive tracking control of pure-feedback nonlinear systems with multiple unknown time-varying delays," IEEE Trans. Neural Netw., vol. 21, no. 11, pp. 1804-1816, Nov. 2010.
20. W. S. Chen and J. M. Li, "Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with timevarying delays," IEEE Trans. Syst., Man, Cybern., Part B: Cybern., vol. 40, no. 3, pp. 939-950, Jun. 2010.
21. C. H. Moog, R. Castro-Linares, M. Velasco-Villa, and L. A. Marquez-Matinez, "The disturbance decoupling problem for time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 45, no. 2, pp. 305-309, Feb. 2000.
22. L. A. Marquez-Martinez and C. H. Moog, "Input-output feedback linearization of time-delay systems," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 781-786, May 2004.
23. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural network control of nonlinear systems with unknown time delays," IEEE Trans. Autom. Control, vol. 48, no. 11, pp. 2004-2010, Nov. 2003.
24. X. D. Ye, "Adaptive nonlinear output-feedback control with unknown high-frequency gain sign," IEEE Trans. Autom. Control, vol. 46, no. 1, pp. 112-115, Jan. 2001.
25. R. D. Nussbaum, "Some remarks on a conjecture in parameter adaptive control," Syst. Control Lett., vol. 3, no. 5, pp. 243-246, Nov. 1983.
26. E. P. Ryan, "A nonlinear universal servomechanism," IEEE Trans. Autom. Control, vol. 39, no. 4, pp. 753-761, Apr. 1994.
27. L. Liu and J. Huang, "Global robust output regulation of output feedback systems with unknown high-frequency gain sign," IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 625-631, Apr. 2006.
28. M. Malek-Zavarei and M. Jamshidi, Time-Delay Systems: Analysis, Optimization and Applications. New York: North-Holland, 1987.
29. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
30. M. M. Polycarpou, "Stable adaptive neural control scheme for nonlinear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 447-451, Mar. 1996. (Pubitemid 126767899)
31. F. L. Lewis, S. Jagannathan, and A. Yesilidrek, Neural Network Control of Robot Manipulators and Nonlinear Systems. Philadelphia, PA: Taylor & Francis, 1999.
32. R. M. Sanner and J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Netw., vol. 3, no. 6, pp. 837-863, Nov. 1992.
33. G. Herrmann, S. S. Ge, and G. X. Guo, "Discrete linear control enhanced by adaptive neural networks in application to a HDD-servo-system," Control Eng. Practice, vol. 16, no. 8, pp. 930-945, Aug. 2008.
34. S. S. Ge and K. P. Tee, "Approximation-based control of nonlinear MIMO time-delay systems," Automatica, vol. 43, no. 1, pp. 31-43, Jan. 2007. (Pubitemid 44792031)
35. M. M. Polycarpou and P. A. Ioannou, "A robust adaptive nonlinear control design," Automatica, vol. 31, no. 3, pp. 423-427, Mar. 1995.
36. C. C. Hua, X. P. Guan, and P. Shi, "Robust backstepping control for a class of time delayed systems," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 894-899, Jun. 2005. (Pubitemid 40902719)
37. W. Michiels, S. I. Niculescu, and V. V. Assche, "Stabilization of timedelay systems with a controlled time-varying delay and applications," IEEE Trans. Autom. Control, vol. 50, no. 4, pp. 493-504, Apr. 2005. (Pubitemid 40555771)
38. ∞ control for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay," IEEE Trans. Fuzzy Syst., vol. 15, no. 2, pp. 321-331, Apr. 2007. (Pubitemid 46563431)