Backstepping control of discrete-time nonlinear system under unknown dead-zone constraint

Proceedings - 2011 International Conference on Communication Systems and Network Technologies, CSNT 2011

Volumn , Issue , 2011, Pages 344-349

  Deolia, Vinay Kumar ^a   Purwar, Shubhi ^b   Sharma, T N ^b  

^a GLA UNIVERSITY   (India)

^b MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Backstepping controller; Chebyshev neural network (CNN); Dead zone nonlinesarity; Lyapunov stability

Indexed keywords

ADAPTIVE BACKSTEPPING; BACKSTEPPING CONTROL; BACKSTEPPING CONTROLLER; BACKSTEPPING TECHNIQUE; CHEBYSHEV NEURAL NETWORKS; CONTROL DESIGN; CONTROLLER DESIGNS; DEAD-ZONE; DEAD-ZONE NONLINEARITY; DISCRETE-TIME NONLINEAR SYSTEMS; LYAPUNOV STABILITY; NONLINEAR DISCRETE-TIME SYSTEMS; NONLINEAR FUNCTIONS; UNIFORM ULTIMATE BOUNDEDNESS; WEIGHT UPDATE;

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP SYSTEMS; COMMUNICATION SYSTEMS; CONTROLLERS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; NEURAL NETWORKS; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS;

BACKSTEPPING;

EID: 80052130956     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CSNT.2011.78     Document Type: Conference Paper

References (24)

1. th IEEE Conference on Decision and Control, Brighton, U. K., pp. 2111-2115, 1991.
2. G. Tao and P. V. Kokotovic, "Adaptive control of systems with backlash," Automatica, vol. 29, No. 2, pp. 323-335, 1993.
3. J. H. Kim, J. H. Park, S. W. Lee and E. K. P. Chong, "A two-layered fuzzy logic controller for systems with dead-zones," IEEE Transactions on Industrial Electronics, vol. 41, No. 2, pp. 155-161, 1994.
4. Chiman Kwan and F. L. Lewis, "Robust Backstepping Control of Nonlinear Systems Using Neural Networks," IEEE Transactions on Systems, Man, and Cybernetics, vol. 30, No. 6, pp. 753-766, November 2000. (Pubitemid 32169089)
5. S. S. Gee, G. Y. Li, T. H. Lee, "Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems," Automatica, vol. 39, pp. 807-819, 2003.
6. Kanellakipoulos, I., Kokotovic, P. V., & Morse, A. S., "Systematic Design of Adaptive Controllers for Feedback Linearizable Systems," IEEE Transactions on Automatic control, vol. 36, pp. 1241-1253, 1991.
7. Kristic, M., Kanellakipoulos, I., Kokotovic P. V., "Adaptive nonlinear control without overparameterization," System and Control letters, vol. 19, pp. 177-185, 1992. (Pubitemid 23559999)
8. F. L. Lewis, Woo Kam Tim, Li-Zin Wang, and Z. X. Li, "Deadzone Compensation in Motion Control Systems Using Adaptive Fuzzy Logic Control," IEEE Transactions on Control Systems Technology, vol. 7, No. 6, pp. 753-766, November 1999.
9. Salim Ibrir, Wen Fang Xie, Chun-Yi Su, "Adaptive tracking of nonlinear systems with non-symmetric dead-zone input," Automatica, vol. 43, pp. 522-530, 2007. (Pubitemid 46209058)
10. T. P. Zhang, S. S. Ge, "Adaptive dynamic surface control of nonlinear systems with unknown dead-zone in pure feedback form," Automatica, vol. 44, pp. 1895-1903, 2003.
11. Zhoungua Wang, Yong Zhang, Hui Fang, "Neural adaptive control for a class of nonlinear systems with unknown deadzone," Springer, Neural Comput & Applic, vol. 17, pp. 339-345, 2008.
12. nd IEEE Conference on Decision and Control, San Antonio, Texas, pp. 2647-2653, December 1993.
13. G. Tao and P. V. Kokotovic, "Discrete-time adaptive control of nonlinear systems with unknown dead-zones," Int. J. Control, vol. 61, No. 1, pp. 1-17, 1995.
14. G. Tao and P. V. Kokotovic, "Adaptive Control of Systems with Actuator and Sensor Nonlinearities," John Wiley & Sons, Inc., New York, 1996.
15. th IEEE Conference on Decision and Control, Tampa, Florida, USA, pp. 2920-2926, December 1998.
16. st CDC, Las Vegas Nevada, USA, pp. 4288-4293, 2002.
17. He Pingan, Gao Wenzhi, Sarangapani Jagannathan, "Neuro control of nonlinear discrete-time systems with dead-zone and input constraints", Proceedings of the 2006 IEEE Intenational conference on control applications, Munich, Germany, pp. 2836-2841, October 4-6 2006.
18. P. He and S. Jagannathan, "Reinforcement Learning Neural-Network-Based Controller for Nonlinear Discrete-Time Nonlinear Systems with Input Constraints," IEEE Transactions on Systems, Man, and Cybernetics, vol. 37, No. 2, pp. 425-436, April 2007. (Pubitemid 46523230)
19. Guo Wencheng, Shi Wuxi, Guo Lijin, "Direct Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems with Time-Varying Dead-Zone," IEEE Conference on Chinese Decision and Control, 2009.
20. Xin Zhang, Huaguang Zhang, Derong Liu, and Yongsu Kim, "Neural-Network-Based Reinforcement Learning Controller for Nonlinear Systems with Non-symmetric Dead-zone Inputs," IEEE Conference on Decision and Control, 2009.
21. Namatame and N. Ueda, "Pattern classification with Chebyshev Neural Network," Int. J. Neural Network, vol. 3, pp. 23-31, 1992.
22. T. T. Lee, & J. T. Jeng, "The Chebyshev polynomial based unified model neural networks for functions approximations," IEEE Transactions on. Systems, Man & Cybernetics, Part B, vol. 28, No. 6, pp. 925-935, 1998.
23. S. Purwar, I. N. Kar, A. N. Jha, "Adaptive output feedback tracking control of robot manipulators using position measurements only," Expert systems with applications, vol. 34, pp. 2789-2798, 2008. (Pubitemid 351173784)
24. Wenzhi Gao and Rastko R. Selmic, "Neural Network Control of a Class of Nonlinear Systems With Actuator Saturation," IEEE Transactions on Neural Networks, vol. 17, No. 1, pp. 147-156, January 2006. (Pubitemid 43263947)