320
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Approximation-based disturbance observer approach for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched disturbances

&
Pages 1775-1786 | Received 17 Aug 2016, Accepted 05 Jan 2017, Published online: 01 Feb 2017

References

  • Bartle, R. (1964). The elements of real analysis. New York, NY: Wiley.
  • Chen, M., & Ge, S.S. (2013). Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. IEEE Transactions on Cybernetics, 43, 1213–1225.
  • Chen, M., & Ge, S.S. (2015). Adaptive neural output feedback control of uncertain nonlinear systems with unknown hysteresis using disturbance observer. IEEE Transactions on Industrial Electronics, 62, 7706–7716.
  • Chen, M., Shi, P., & Lim, C.C. (2015). Robust constrained control for MIMO nonlinear systems based on disturbance observer. IEEE Transactions on Automatic Control, 60, 3281–3286.
  • Chen, M., & Tao, G. (2015). Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone. IEEE Transactions on Cybernetics, 46, 1851–1862.
  • Chen, M., Tao, G., & Jiang, B. (2015). Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation. IEEE Transactions on Neural Networks and Learning Systems, 26, 2086–2097.
  • Chen, W., Ge, S.S., Wu, J., & Gong, M.G. (2015). Globally stable adaptive backstepping neural network control for uncertain strict-feedback systems with tracking accuracy known a priori. IEEE Transactions on Neural Networks and Learning Systems, 26, 1842–1854.
  • Chen, W., Jiao, L.C., & Wu, J. (2012). Globally stable adaptive robust tracking control using RBF neural networks as feedforward compensators. Neural Computing and Applications, 21, 351–363.
  • Chen, W., & Zhang, Z. (2010). Globally stable adaptive backstepping fuzzy control for output-feedback systems with unknown high-frequency gain sign. Fuzzy Sets and Systems, 161, 821–836.
  • Chen, W.H. (2004). Disturbance observer based control for nonlinear systems. IEEE/ASME Transactions on Mechatronics, 9, 706–710.
  • Chen, W.H., Ballance, D.J., Gawthrop, P.J., & O’Reilly, J. (2000). A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics, 47, 932–938.
  • Dawson, D.M., Carroll, J.J., & Schneider, M. (1994). Integrator backstepping control of a brush DC motor turning a robotic load. IEEE Transactions on Control Systems Technology, 2, 233–244.
  • Du, C., Li, H., Thum, C.K., Lewis, F.L., & Wang, Y. (2010). Simple disturbance observer for disturbance compensation. IET Control Theory & Applications, 4, 1748–1755.
  • Du, H., Shao, H., & Yao, P. (2006). Adaptive neural network control for a class of low-triangular-structured nonlinear systems. IEEE Transactions on Neural Networks, 17, 509–514.
  • Ge, S.S., & Wang, C. (2002b). Adaptive NN control of uncertain nonlinear pure-feedback systems. Automatica, 38, 671–682.
  • Ge, S.S., & Wang, J. (2002a). Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems. IEEE Transactions on Neural Networks, 13, 1409–1419.
  • Huang, J.T. (2012). Global tracking control of strict-feedback systems using neural networks. IEEE Transactions on Neural Networks and Learning Systems, 23, 1714-1725.
  • Huang, J.T. (2015). Global adaptive neural dynamic surface control of strict-feedback systems. Neurocomputing, 165, 403-413.
  • Khalil, H.K. (1996). Nonlinear systems. Upper Saddle River, NJ: Prentice-Hall.
  • Krstic, M., & Bement, M. (2006). Nonovershooting control of strict-feedback nonlinear systems. IEEE Transactions on Automatic Control, 51, 1938–1943.
  • Krstic, M., Kanellakopoulos, I., & Kokotovic, P.V. (1995). Nonlinear and adaptive control design. New York, NY: Wiley.
  • Kurdila, A.J., Narcowich, F.J., & Ward, J.D. (1995). Persistency of excitation in identification using radial basis function approximants. SIAM Journal on Control and Optimization, 33, 625–642.
  • Ioannou, P.A., & Kokotovic, P.V. (1983). Adaptive systems with reduced models. New York, NY: Springer.
  • Lang, S. (1983). Real analysis. Reading, MA: Addison-Weseley.
  • Li, P., & Yang, G.H. (2011). A novel adaptive control approach for nonlinear strict-feedback systems using nonlinearly parameterised fuzzy approximators. International Journal of Systems Science, 42, 517–527.
  • Li, S., Yang, J., Chen, W., & Chen, X. (2014). Disturbance observer-based control: Methods and applications. Boca Raton, FL: CRC Press.
  • Ma, J., Zheng, Z., & Li, P. (2015). Adaptive dynamic surface control of a class of nonlinear systems with unknown direction control gains and input saturation. IEEE Transactions on Cybernetics, 45, 728–741.
  • Niu, B., Qin, T., & Fan, X. (2016). Adaptive neural network tracking control for a class of switched stochastic pure-feedback nonlinear systems backlash-like hysteresis. International Journal of Systems Science, 14, 3378–3393.
  • Park, J., & Sandberg, I.W. (1991). Universal approximation using radial-basis function networks. Neural Computation, 3, 246–257.
  • Sun, G., Wang, D., Peng, Z., Wang, H., Lan, W., & Wang, M. (2013). Robust adaptive neural control of uncertain pure-feedback nonlinear systems. International Journal of Control, 86, 912–922.
  • Swaroop, D., Hedrick, J.K., Yip, P.P., & Gerdes, J.C. (2000). Dynamic surface control for a class of nonlinear systems. IEEE Transactions on Automatic Control, 45, 1893–1899.
  • Wang, C., Hill, D.J., Ge, S.S., & Chen, G. (2006). An ISS-modular approach for adaptive neural control of pure-feedback systems. Automatica, 42, 723–731.
  • Wang, D., & Huang, J. (2002). Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form. Automatica, 38, 1365–1372.
  • Wang, D., & Huang, J. (2005). Neural network based adaptive dynamic surface control for nonlinear systems in strict-feedback form. IEEE Transactions on Neural Networks, 16, 195–202.
  • Wang, H., & Chen, B. (2014). Adaptive fuzzy control for pure-feedback stochastic nonlinear systems with unknown dead-zone input. International Journal of Systems Science, 45, 2552–2564.
  • Wang, M., & Wang, C. (2015). Neural learning control of pure-feedback nonlinear systems. Nonlinear Dynamics, 79, 2589–2608.
  • Wang, M., & Zhang, Z. (2015). Globally adaptive asymptotic tracking control of nonlinear systems using nonlinearly parameterized fuzzy approximator. Journal of the Franklin Institute, 352, 2783–2795.
  • Wen, C., Zhou, J., Liu, Z., & Su, H. (2011). Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Transactions on Automatic Control, 56, 1672–1678.
  • Wu, J., Chen, W., & Li, J. (2015). Fuzzy-approximation-based global adaptive control for uncertain strict-feedback systems with a priori known tracking accuracy. Fuzzy Sets and Systems, 273, 1–25.
  • Wu, J., Chen, W., Yang, F., Li, J., & Zhu, Q. (2015b). Global adaptive neural control for strict-feedback time-delay systems with predefined output accuracy. Information Sciences, 301, 27–43.
  • Wu, J., Chen, W., Zhao, D., & Li, J. (2013). Globally stable direct adaptive backstepping NN control for uncertain nonlinear strict-feedback systems. Neurocomputing, 122, 134–147.
  • Wu, J., & Li, J. (2016). Adaptive fuzzy control for perturbed strict-feedback nonlinear systems with predefiend tracking accuracy. Nonlinear Dynamics, 83, 1185–1197.
  • Wu, J., Li, J., & Chen, W. (2014). Semi-globally/globally stable adaptive NN backstepping control for uncertain MIMO systems with tracking accuracy known a priori. Journal of the Franklin Institute, 351, 5274–5509.
  • Xu, B., Shi, Z., & Yang, C. (2015a). Composite fuzzy control of a class of uncertain nonlinear systems with disturbance observer. Nonlinear Dynamics, 80, 341–351.
  • Xu, B., Yang, C., & Pan, Y. (2015b). Global neural dynamic surface tracking control of strict-feedback systems with application to hypersonic flight vehicle. IEEE Transactions on Neural Networks and Learning Systems, 26, 2563–2575.
  • Yang, J., Li, S.H., & Chen, W.H. (2012). Nonlinear disturbance observer-based control for multi-input multi-output nonlinear systems subject to mismatching condition. International Journal of Control, 85, 1071–1082.
  • Yang, Y., Du, J., Liu, H., Guo, C., & Abraham, A. (2014). A trajectory tracking robust controller of surface vessels with disturbance uncertainties. IEEE Transactions on Control Systems Technology, 22, 1511–1518.
  • Yang, Z.J., Hara, S., Kanae, S., & Wada, K. (2011). Robust output feedback control of a class of nonlinear systems using a disturbance observer. IEEE Transactions on Control Systems Technology, 19, 256–268.
  • Yang, Z.J., Tsubakihara, H., Kanae, S., Wada, K., & Su, C.Y. (2008). A novel robust nonlinear motion controller with disturbance observer. IEEE Transactions on Control Systems Technology, 16, 137–147.
  • Yang, Z.J., Wang, Y., & Kanae, S. (2010). New approach to an adaptive robust motion controller combined with a disturbance observer. IET Control Theory & Applications, 5, 1203–1213.
  • Yao, B., & Tomizuka, M. (1997). Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form. Automatica, 33, 893–900.
  • Yin, S., Shi, P., & Yang, H. (2016). Adaptive fuzzy control of strict-feedback nonlinear time-delay systems with unmodeled dynamics. IEEE Transactions on Cybernetics, 46, 1926–1938.
  • Yip, P.P., & Hedrick, J.K. (1998). Adaptive dynamic surface control: A simplified algorithm for adaptive backstepping control of nonlinear systems. International Journal of Control, 71, 959–979.
  • Yoo, S.J., Park, J.B., & Choi, Y.H. (2007). Adaptive dynamic surface control for stabilization of parametric strict-feedback nonlinear systems with unknown time delays. IEEE Transactions on Automatic Control, 52, 2360–2365.
  • Yoo, S.J., Park, J.B., & Choi, Y.H. (2009). Adaptive neural control for a class of strict-feedback nonlinear systems with state time delays. IEEE Transactions on Neural Networks, 20, 1209–1215.
  • Zhang, T., Ge, S.S., & Hang, C.C. (2000). Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica, 36, 1835–1846.
  • Zhang, T.P., Zhu, Q., & Yang, Y.Q. (2012). Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties. International Journal of Systems Science, 43, 691–706.
  • Zhou, J., Wen, C., & Yang, G. (2014). Adaptive backstepping stabilization of nonlinear uncertain systems with quantized input signal. IEEE Transactions on Automatic Control, 59, 460–464.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.