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Original Articles

NN-adaptive output feedback tracking control for a class of discrete-time non-affine systems with a dynamic compensator

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Pages 1008-1017 | Received 09 May 2012, Accepted 22 Jan 2013, Published online: 05 Apr 2013

References

  • Adetona, O., Sathananthan, S., & Keel, L. H. (2004). Robust adaptive control of nonaffine nonlinear plants with small input signal changes. IEEE Transactions on Neural Networks, 15, 408–416.
  • Ahmed, M. S. (2000). Neural-net-based direct adaptive control for a class of nonlinear plants. IEEE Transactions on Automatic Control, 45, 119–124.
  • Cabrera, J. B. D., & Narendra, K. S. (1999). Issues in the application of neural networks for tracking based on inverse control. IEEE Transactions on Automatic Control, 44, 2007–2027.
  • Deng, H., Li, H. X., & Wu, Y. H. (2008). Feedback-linearization-based neural adaptive control for unknown nonaffine nonlinear discrete-time systems. IEEE Transactions on Neural Networks, 19, 1615–1625.
  • Fu, Y., & Chai, T. (2007). Nonlinear multivariable adaptive control using multiple models and neural networks. Automatica, 43, 1101–1110.
  • Ge, S. S., Hang, C. C., & Zhang, T. (1999). Adaptive neural network control of nonlinear systems by state and output feedback. IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, 29, 818–828.
  • Ge, S. S., & Wang, C. (2002). Adaptive NN control of uncertain nonlinear pure-feedback systems. Automatica, 38, 671–682.
  • Ge, S. S., Yang, C., & Lee, T. H. (2008). Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time. IEEE Transactions on Neural Networks, 19, 1599–1614.
  • Ge, S. S., & Zhang, J. (2003). Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback. IEEE Transactions on Neural Networks, 14, 900–918.
  • Goh, C. J., & Lee, T. H. (1994). Direct adaptive control of nonlinear systems via implicit function emulation. Control Theory and Advanced Technology, 10, 539–552.
  • Hovakimyan, N., Nardi, F., Calise, A., & Kim, N. (2002). Adaptive output feedback control of uncertain nonlinear systems using single-hidden-layer neural networks. IEEE Transactions on Neural Networks, 13, 1420–1431.
  • Jiang, Z. P., Lin, Y. D., and Wang, Y. (2004). Nonlinear small-gain theorems for discrete-time feedback systems and applications. Automatica, 40, 2129–2136.
  • Jiang, Z. P., & Wang, Y. (2001). Input-to-state stability for discrete-time nonlinear systems. Automatica, 37, 857–869.
  • Li, Z., & Kang, Y. (2010a). Dynamic coupling switching control incorporating support vector machines for wheeled mobile manipulators with hybrid joints. Automatica, 46, 785–958.
  • Li, Z., & Kang, Y. (2010b). Robust adaptive motion/force control for wheeled inverted pendulums. Automatica, 46, 1346–1353.
  • Li, Z., Yang, Y., & Li, J. (2010). Adaptive motion/force control of mobile under-actuated manipulators with dynamics uncertainties by dynamic coupling and output feedback. IEEE Transactions on Control System Technology, 18, 1068–1079.
  • Liu, Y. J., Chen, C. L., Wen, G. X., & Tong, S. (2011). Adaptive neural output feedback tracking control for a class of uncertain discrete-time nonlinear systems. IEEE Transactions on Neural Networks, 22, 1162–1167.
  • Liu, Y. J., Wen, G. X., & Tong, S. C. (2010). Direct adaptive NN control for a class of discrete-time nonlinear strict-feed back systems. Neurocomputing, 73, 2498–2505.
  • Plett, G. L. (2003). Adaptive inverse control of linear and nonlinear system using dynamic neural networks. IEEE Transactions on Neural Networks, 14, 360–376.
  • Shifrin, T. (2005). Multivariable mathematics. New York: Wiley.
  • Silvestre, C. (2000). Multi-objective optimization theory with application to the integrated design of controllers/plants for autonomous vehicles ( PhD thesis). Lisbon, Portugal.
  • Vance, J., & Jagannathan, S. (2008). Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form. Automatica, 44, 1020–1027.
  • Xia, Y. Q., Zhu, Z., & Fu, M. Y. (2011a). Back-stepping sliding mode control for missile systems based on extended state observer. IET Control Theory and Applications, 5, 93–102.
  • Xia, Y. Q., Zhu, Z., & Fu, M. Y., Wang, S. (2011b). Attitude tracking of rigid spacecraft with bounded disturbances. IEEE Transactions on Industrial Electronics, 58, 647–659.
  • Yang, B. J., & Calise, A. J. (2007). Adaptive control of a class of nonaffine systems using neural networks. IEEE Transactions on Neural Networks, 18, 1149–1059.
  • Yang, C. G., Ge, S. S., Xiang, C., Chai, T., & Lee, T. H. (2008a). Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Transactions on Neural Networks, 19, 1873–1886.
  • Yang, C. G., Li, Y. N., Ge, S. S., & Lee, T. H. (2010). Adaptive control of a class of discrete-time MIMO nonlinear systems with uncertain couplings. International Journal of Control, 83, 2120–2133.
  • Yang, Q., Vance, J. B., & Jagannathan, S. (2008b). Control of nonaffine nonlinear discrete-time systems using reinforcement-learning-based linearly parameterized neural networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 38, 994–1001.
  • Zhang, L. J., Jia, H. M., & Qi, X. (2011). NNFFC-adaptive output feedback trajectory tracking control for a surface ship at high speed. Ocean Engineering, 38, 1430–1438.
  • Zhang, L. J., Qi, X., & Jia, H. M. (2009). Adaptive output feedback control based on DRFNN for AUV. Ocean Engineering, 36, 716–722.
  • Zhu, Q. M., & Guo, L. (2004). Stable adaptive neurocontrol for nonlinear discrete-time systems. IEEE Transactions on Neural Networks, 15, 653–662.

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