193
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Decentralised disturbance-observer-based adaptive tracking in the presence of unmatched nonlinear time-delayed interactions and disturbances

& ORCID Icon
Pages 98-112 | Received 24 Feb 2017, Accepted 19 Sep 2017, Published online: 10 Oct 2017

References

  • Bartle, R. (1964). The elements of real analysis. New York, NY: Wiley.
  • Chen, W. H. (2004). Disturbance observer based control for nonlinear systems. IEEE/ASME Transactions on Mechatronics, 9(4), 706–710.
  • Chen, W. H., Ballance, D. J., Gawthrop, P. J., & OReilly, J. (2000). A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics, 47(4), 932–938.
  • 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(4), 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(12), 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(12), 3281–3286.
  • Chen, M., & Tao, G. (2016). Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone. IEEE Transactions on Cybernetics, 46(8), 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, 26(9), 2086–2097.
  • Choi, Y. H., & Yoo, S. J. (2016). Minimal-approximation-based decentralized backstepping control of interconnected time-delay systems. IEEE Transactions on Cybernetics, 46(12), 3401–3413.
  • Du, C., Li, H., Thum, C. K., Lewis, F. L., & Wang, Y. (2010). Simple disturbance observer for disturbance compensation. IET Control Theory & Applications, 4(9), 1748–1755.
  • Ge, S. S., & Tee, K. P. (2007). Approximation-based control of nonlinear MIMO time-delay systems. Automatica, 43(1), 31–43.
  • Guo, T., & Chen, W. (2016). Adaptive fuzzy decentralised fault-tolerant control for uncertain non-linear large-scale systems with unknown time-delay. IET Control Theory & Applications, 10(18), 2437–2446.
  • He, C., Li, J., & Zhang, L. (2015). Decentralized adaptive neural control of nonlinear large-scale pure-feedback interconnected systems with time-varying delays. (2015). International Journal of Adaptive Control and Signal Processing, 29(1), 24–40.
  • Hsiao, F. H., Hwang, J. D., Chen, C. W., & Tsai, Z. R. (2005). Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control. IEEE Transactions on Fuzzy Systems, 13(1), 152–163.
  • Hsiao, F. H., Xu, S. D., Lin, C. Y., & Tsai, Z. R. (2008). Robustness design of fuzzy control for nonlinear multiple time-delay large-scale systems via neural-network-based approach. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 38(1), 244–251.
  • Ioannou, P. A., & Kokotovic, P. V. (1983). Adaptive systems with reduced models. New York, NY: Springer.
  • Kim, H. O., & Yoo, S. J. (2017). Approximation-based disturbance observer approach for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched disturbances. International Journal of Systems Science, 48(8), 1775–1786.
  • 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(2), 625–642.
  • Lang, S. (1983). Real analysis. Menlo Park, CA: Addison-Wesley.
  • Li, Z., Deng, S., Su, C. Y., Li, G., Yu, Z., Liu, Y., & Wang, M. (2014). Decentralised adaptive control of cooperating robotic manipulators with disturbance observers. IET Control Theory & Applications, 8(7), 515–521.
  • Li, Z., Li, T., & Feng, G. (2016). Adaptive neural control for a class of stochastic nonlinear time-delay systems with unknown dead zone using dynamic surface technique. International Journal of Robust and Nonlinear Control, 26(4), 759–781.
  • Li, T., Li, R., & Li, J. (2011). Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation. Nurocomputing, 74(14–15), 2277–2283.
  • Li, T., Li, R., & Li, J. (2012). Decentralized adaptive neural control of nonlinear systems with unknown time delays. Nonlinear Dynamics, 67(3), 2017–2026.
  • Li, T., Li, Z., Wang, D., & Chen, C. L. P. (2015). Output-feedback adaptive neural control for stochastic nonlinear time-varying delay systems with unknown control directions. IEEE Transactions on Neural Networks and Learning Systems, 26(6), 1188–1201.
  • Li, Y., & Tong, S. (2017). Adaptive neural networks decentralized FTC design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults. IEEE Transactions on Neural Networks and Learning Systems. doi:10.1109/TNNLS.2016.2598580
  • Li, Y., Tong, S., & Li, T. (2015a). Adaptive fuzzy output feedback dynamic surface control of interconnected nonlinear pure-feedback systems. IEEE Transactions on Cybernetics, 45(1), 138–149.
  • Li, Y., Tong, S., & Li, T. (2015b). Composite adaptive fuzzy output feedback control design for uncertain nonlinear strict-feedback systems with input saturation. IEEE Transactions on Cybernetics, 45(10), 2299–2308.
  • Li, Y., Tong, S., & Li, T. (2016). Hybrid fuzzy adaptive output feedback control design for uncertain MIMO nonlinear systems with time-varying delays and input saturation. IEEE Transactions on Fuzzy Systems, 24(4), 841–853.
  • Li, Y., Tong, S., Liu, L., & Feng, G. (2017). Adaptive output-feedback control design with prescribed performance for switched nonlinear systems. Automatica, 80, 225–231.
  • Li, S., Yang, J., Chen, W., & Chen, X. (2014). Disturbance observer-based control: Methods and applications. Boca Raton, FL: CRC Press.
  • Lin, W., & Qian, C. (2002). Adaptive control of nonlinearly parameterized systems: The smooth feedback case. IEEE Transactions on Automatic Control, 47(8), 1249–1266.
  • Mahmoud, M. S., & Bingulac, S. (1998). Robust design of stabilizing controllers for interconnected time-delay systems. Automatica, 34(6), 795–800.
  • Park, J., & Sandberg, I. W. (1991). Universal approximation using radial-basis function networks. Neural Computation, 3(2), 246–257.
  • Shi, L., & Singh, S. K. (1992). Decentralized adaptive controller design for large-scale systems with higher order interconnections. IEEE Transactions on Automatic Control, 37(8), 1106–1118.
  • 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(10), 1893–1899.
  • Tong, S., Huo, B., & Li, Y. (2014). Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Transactions on Fuzzy Systems, 22(1), 1–15.
  • Tong, S., & Li, Y. (2013). Adaptive fuzzy decentralized output feedback control for nonlinear large-scale systems with unknown dead-zone inputs. IEEE Transactions on Fuzzy Systems, 21(5), 913–925.
  • Tong, S. C., Li, Y. M., & Zhang, H. G. (2011). Adaptive neural network decentralized backstepping output-feedback control for nonliear large-scale systems with time delays. IEEE Transactions on Neural Networks, 22(7), 1073–1086.
  • Tong, S., Liu, C., Li, Y., & Zhang, H. (2011). Adaptive fuzzy decentralized control for large-scale nonlinear systems with time-varying delays and unknown high-frequency gain sign. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41(2), 474–485.
  • 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(5), 723–731.
  • Wang, H., Yang, X., Yu, Z., Liu, K., & Liu, X. (2015). Fuzzy-approximation-based decentralized adaptive control for pure-feedback large-scale nonlinear systems with time-delay. Neural Computing and Applications, 26(1), 151–160.
  • Xiao, X. S., & Wu, L. (2014). Decentralized adaptive tracking of interconnected non-affine systems with time delays and quantized inputs. Neurocomputing, 141(2), 194–201.
  • Xu, B., Shi, Z., & Yang, C. (2015). Composite fuzzy control of a class of uncertain nonlinear systems with disturbance observer. Nonlinear Dynamics, 80(1–2), 341–351.
  • 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(4), 1511–1518.
  • Yang, Z. J., Fukushima, Y., & Qin, P. (2012). Decentralized adaptive robust control of robot manipulators using disturbance observers. IEEE Transactions on Control Systems Technology, 20(5), 1357–1365.
  • 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(2), 256–268.
  • 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(8), 1071–1082.
  • 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(1), 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(10), 1203–1213.
  • Yang, Y., Yue, D., & Xue, Y. (2015). Decentralized adaptive neural output feedback control of a class large-scale time-delay systems with input saturation. Journal of the Franklin Institute, 352(5), 2129–2151.
  • Yoo, S. J. (2015). Observer-based decentralized adaptive control for large-scale pure-feedback systems with unknown time-delayed nonlinear interactions. International Journal of Robust and Nonlinear Control, 25(8), 1107–1125.
  • Yoo, S. J., & Park, J. B. (2009). Neural-network-based decentralized adaptive control for a class of large-scale nonlinear systems with unknown time-varying delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 39(5), 1316–1323.
  • Yoo, S. J., & Park, J. B. (2012). Decentralized adaptive output-feedback control for a class of nonlinear large-scale systems with unknown time-varying delayed interactions. Information Sciences, 186(1), 222–238.
  • Zhang, T. P., & Ge, S. S. (2008). Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica, 44(7), 1895–1903.

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.