Backstepping Sliding-Mode Control for an Uncertain Nonlinear System

LUO Lian-jie; DIAN Song-yi; PU Ming

doi:10.3969/j.issn.1671-637x.2017.12.006

[1] YANG J, LI S, SU J, et al. Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances［J］. Automatica, 2013, 49(7): 2287-2291.

[2] QU S, XIA X, ZHANG J. Dynamics of discrete-time sliding-mode-control uncertain systems with a disturbance compensator［J］. IEEE Transactions on Industrial Electronics, 2014, 61(7): 3502-3510.

[3] FANG L, LI T, LI Z, et al. Adaptive terminal sliding mode control for anti-synchronization of uncertain chaotic systems［J］. Nonlinear Dynamics, 2013, 74(4): 991-1002.

[4] GINOYA D, SHENDGE P D, PHADKE S B. Sliding mode control for mismatched uncertain systems using an extended disturbance observer［J］. IEEE Transactions on Industrial Electronics, 2014, 61(4): 1983-1992.

[5] PARK K, TSUJI T. Terminal sliding mode control of second-order nonlinear uncertain systems［J］. International Journal of Robust & Nonlinear Control, 2015, 9(11): 769-780.

[6] HOU H Q, MIAO Q, GAO Q H, et al. Fuzzy backstepping sliding mode control for mismatched uncertain system［J］. Journal of Engineering Science & Technology Review, 2014, 7(2): 175-181.

[7] FARRELL J A, POLYCARPOU M, SHARMA M, et al. Command filtered backstepping［J］. IEEE Transactions on Automatic Control, 2009, 54(6): 1391-1395.

[8] CHENG C C, OU Y H. Design of adaptive block backstepping controllers for uncertain nonlinear dynamic systems with n blocks［J］. International Journal of Control, 2013, 86(3): 469-477.

[9] ZHOU J, WEN C, YANG G. Adaptive backstepping stabilization of nonlinear uncertain systems with quantized input signal［J］. IEEE Transactions on Automatic Control, 2014, 59(2): 460-464.