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Original Articles

Global tracking for a class of uncertain nonlinear systems with unknown sign-switching control direction by output feedback

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Pages 1895-1910 | Received 22 Oct 2013, Accepted 28 Feb 2015, Published online: 10 Apr 2015

References

  • Bartolini, G., Ferrara, A., & Giacomini, L. (2003). A switching controller for systems with hard uncertainties. IEEE Transactions on Circuits and Sytems, 50, 984–990.
  • Bartolini, G., Pisano, A., & Usai, E. (2009). On the second-order sliding mode control of nonlinear systems with uncertain control direction. Automatica, 45, 984–990.
  • Bejarano, F.J., & Fridman, L. (2010). High order sliding mode observer for linear systems with unbounded unknown inputs. International Journal of Control, 83, 1920–1929.
  • Benabdallah, A., & Hammami, M.A. (2001). On the output feedback stability for non-linear uncertain control systems. International Journal of Control, 74, 547–551.
  • Choi, H.H. (2002). Variable structure output feedback control design for a class of uncertain dynamic systems. Automatica, 38, 335–341.
  • Davila, J., Fridman, L., Pisano, A., & Usai, E. (2009). Finite-time state observation for non-linear uncertain systems via higher-order sliding modes. International Journal of Control, 82, 1564–1574.
  • Drakunov, S. (1993). Sliding mode control of the systems with uncertain direction of control vector. In Proceedings of IEEE Conference on Decision and Control (pp. 2477–2478). San Antonio, TX: IEEE.
  • Drakunov, S., Özgüner, U., Dix, P., & Ashrafi, B. (1995). ABS control using optimum search via sliding modes. IEEE Transactions on Control Systems Technology, 3, 79–85.
  • Drakunov, S.V., & Özgüner, U. (1992). Optimization of nonlinear system output via sliding mode approach. In Proceedings of IEEE International Workshop on Variable Structure Systems and Lyapunov Control of Uncertain Dynamical Systems (pp. 61–62). Sheffield: IEEE.
  • Edwards, C., & Spurgeon, S.K. (1998). Sliding mode control: Theory and applications. London, UK: Taylor & Francis.
  • Edwards, C., Spurgeon, S.K., & Hebden, R.G. (2003). On the design of sliding mode output feedback controllers. International Journal of Control, 76, 893–905.
  • Emelyanov, S.V., Korovin, S.K., Nersisian, A.L., & Nisenzon, Y.Y. (1992a). Discontinuous output feedback stabilizing an uncertain MIMO plant. International Journal of Control, 55, 83–107.
  • Emelyanov, S.V., Korovin, S.K., Nersisian, A.L., & Nisenzon, Y.Y. (1992b). Output feedback stabilization of uncertain plants: A variable structure systems approach. International Journal of Control, 55, 61–81.
  • Filippov, A.F. (1964). Differential equations with discontinuous right-hand side. American Mathematical Society Translations, 42, 199–231.
  • Fu, M., & Barmish, B.R. (1986). Adaptive stabilization of linear systems via switching control. IEEE Transactions on Automatic Control, 31, 1097–1103.
  • Jiang, Z.P., Mareels, I., Hill, D.J., & Huang, J. (2004). A unifying framework for global regulation nonlinear output feedback: From ISS to iISS. IEEE Transactions on Automatic Control, 49, 549–562.
  • Kaloust, J., & Qu, Z. (1997). Robust control design for nonlinear uncertain systems with an unknown time-varying control direction. IEEE Transactions on Automatic Control, 42, 393–399.
  • Khalil, H.K. (2002). Nonlinear systems (3rd ed.). New Jersey: Prentice Hall.
  • Kokotovic, P., Khalil, H.K., & O’Reilly, J. (1999). Singular perturbation methods in control: Analysis and design (2nd ed.). Philadelphia: SIAM.
  • Krichman, M., Sontag, E.D., & Wang, Y. (2001). Input-output-to-state stability. SIAM Journal on Control and Optimization, 39, 1874–1928.
  • Liu, L., & Huang, J. (2008). Global robust output regulation of lower triangular systems with unknown control direction. Automatica, 44, 1278–1284.
  • Mudgett, D.R., & Morse, A.S. (1985). Adaptive stabilization of linear systems with unknown high frequency gains. IEEE Transactions on Automatic Control, 30, 549–554.
  • Nussbaum, R.D. (1983). Some results on a conjecture in parameter adaptive control. Systems & Control Letters, 3, 243–246.
  • Oliveira, T.R., Hsu, L., & Peixoto, A.J. (2008). Output-feedback sliding mode control of uncertain systems with unknown control direction: A periodic switching function approach. In Proceedings of IEEE International Workshop on Variable Structure Systems (pp. 118–123). Antalya: IEEE.
  • Oliveira, T.R., Peixoto, A.J., & Hsu, L. (2010). Sliding mode control of uncertain multivariable nonlinear systems with unknown control direction via switching and monitoring function. IEEE Transactions on Automatic Control, 55, 1028–1034.
  • Oliveira, T.R., Peixoto, A.J., & Hsu, L. (2013). Peaking free output-feedback exact tracking of uncertain nonlinear systems via dwell-time and norm observers. International Journal of Robust and Nonlinear Control, 23, 483–513.
  • Oliveira, T.R., Peixoto, A.J., Nunes, E.V.L., & Hsu, L. (2007). Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes. International Journal of Adaptive Control and Signal Processing, 21, 692–707.
  • Park, P., Choi, D.J., & Kong, S.G. (2007). Output feedback variable structure control for linear systems with uncertainties and disturbances. Automatica, 43, 72–79.
  • Plestan, F., Shtessel, Y., Brégeault, V., & Poznyak, A. (2010). New methodologies for adaptive sliding mode control. International Journal of Control, 83, 1907–1919.
  • Shevitz, D., & Paden, B. (1994). Lyapunov stability theory of nonsmooth systems. IEEE Transactions on Automatic Control, 39, 1910–1914.
  • Shyu, K.K., Tsai, Y.W., Yu, Y., & Chang, K.C. (2000). Dynamic output feedback sliding mode design for a class of linear unmatched uncertain systems. International Journal of Control, 73, 1463–1474.
  • Wei, C.L., Wu, Y.Q., & Wang, Q.D. (2008). Partial-state feedback control of high-order cascade systems with unknown control direction. International Journal of Control, 81, 931–939.
  • Yan, L., Hsu, L., Costa, R.R., & Lizarralde, F. (2008). A variable structure model reference robust control without a prior knowledge of high frequency gain sign. Automatica, 44, 1036–1044.
  • Yan, X.G., Edwards, C., & Spurgeon, S.K. (2004). Output feedback sliding mode control for nonminimum phase systems with nonlinear disturbance. International Journal of Control, 77, 1353–1361.
  • Yan, X.G., Edwards, C., & Spurgeon, S.K. (2011). Memoryless sliding mode control for nonlinear systems with time delay disturbances using only output information. In Preprints of the 18th World Congress of the International Federation of Automatic Control (pp. 1928–1933). Milano, Italy: IFAC.
  • Yang, Z., Wang, Y., & Sun, Y. (2013). Universal stabilisation design for uncertain nonlinear system with sign-switching unknown control direction. International Journal of Control, 86, 172–182.
  • Yang, Z., Yam, S.C.P., Li, L.K., & Wang, Y. (2010). Universal repetitive learning control for nonparametric uncertainty and unknown state-dependent control direction matrix. IEEE Transactions on Automatic Control, 55, 1710–1715.
  • Yang, Z., Yam, S.C.P., Li, L.K., & Wang, Y. (2011). Robust control for uncertain nonlinear systems with state-dependent control direction. International Journal of Robust and Nonlinear Control, 21, 106–118.
  • Ye, X., & Ding, Z. (2001). Robust tracking control of uncertain nonlinear systems with unknown control direction. Systems & Control Letters, 42, 1–10.
  • Yu, M., Wang, J., & Qi, D. (2013). Discrete-time adaptive iterative learning control for high-order nonlinear systems with unknown control directions. International Journal of Control, 86, 299–308.
  • Zhang, T.P., & Ge, S.S. (2007). Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica, 43, 1021–1033.
  • Zhang, Z., & Xie, X-J. (2014). Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity and unknown gain signs. International Journal of Control, 87, 2294–2311.

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