This paper proposes a novel nonsingular terminal sliding mode control combined with global sliding surface for a class of uncertain nonlinear second-order systems. The suggested control approach is developed based on the Lyapunov theory. The sliding mode reaching the sliding surface in finite time can be guaranteed. Furthermore, chattering phenomenon caused by the switching control action can be eliminated theoretically, and desirable control performance is realized. The simulation and tank test results for heave control of a remotely operated vehicle are presented to verify the effectiveness of the proposed method.
BartoliniGFerraraAUsaiE (1998) Chattering avoidance by second-order sliding mode control. IEEE Transactions on Automatic Control43(2): 241–246.
2.
ChangT-HHurmuzluY (1993) Sliding control without reaching phase and its application to bipedal locomotion. Journal of Dynamic Systems, Measurement, and Control115: 447–447.
3.
Ekerİ (2010) Second-order sliding mode control with experimental application. ISA Transactions49(3): 394–405.
4.
FengYYuXHanF (2013) On nonsingular terminal sliding-mode control of nonlinear systems. Automatica49(6): 1715–1722.
5.
FengYYuXManZ (2002) Non-singular terminal sliding mode control of rigid manipulators. Automatica38(12): 2159–2167.
6.
FossenTI (2011) Handbook of Marine Craft Hydrodynamics and Motion Control. New Jersey: John Wiley & Sons.
7.
ItkisU (1976) Control systems of variable structure. New York: Halsted Press.
8.
LiuJ-KSunF-C (2006) Nominal model-based sliding mode control with backstepping for 3-axis flight table. Chinese Journal of Aeronautics19(1): 65–71.
9.
LiuJSunF (2007) A novel dynamic terminal sliding mode control of uncertain nonlinear systems. Journal of Control Theory and Applications5(2): 189–193.
10.
LiuLHanZLiW (2009) Global sliding mode control and application in chaotic systems. Nonlinear Dynamics56(1–2): 193–198.
11.
LuY-SChenJ-S (1995) Design of a global sliding-mode controller for a motor drive with bounded control. International Journal of Control62(5): 1001–1019.
12.
MobayenS (2014) Design of CNF-based nonlinear integral sliding surface for matched uncertain linear systems with multiple state-delays. Nonlinear Dynamics77(3): 1047–1054.
13.
MobayenS (2015a) An adaptive chattering-free PID sliding mode control based on dynamic sliding manifolds for a class of uncertain nonlinear systems. Nonlinear Dynamics82(1–2): 53–60.
14.
MobayenS (2015b) Design of LMI-based global sliding mode controller for uncertain nonlinear systems with application to Genesio’s chaotic system. Complexity21(1): 94–98.
15.
MobayenS (2015c) Fast terminal sliding mode controller design for nonlinear second-order systems with time-varying uncertainties. Complexity21(2): 239–244.
16.
MobayenSTchierF (2017) Design of an adaptive chattering avoidance global sliding mode tracker for uncertain non-linear time-varying systems. Transactions of the Institute of Measurement and Control39(10): 1547–1558.
17.
MobayenSBaleanuDTchierF (2017) Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems. Journal of Vibration and Control23(18): 2912–2925.
18.
SabanovicA (2011) Variable structure systems with sliding modes in motion control—a survey. IEEE Transactions on Industrial Informatics7(2): 212–223.
19.
WuMChenJ (2014) A discrete-time global quasi-sliding mode control scheme with bounded external disturbance rejection. Asian Journal of Control16(6): 1839–1848.
20.
XiuCHouJXuG, et al. (2017) Improved fast global sliding mode control based on the exponential reaching law. Advances in Mechanical Engineering9(2): 1–8.
21.
YangLYangJ (2011) Nonsingular fast terminal sliding-mode control for nonlinear dynamical systems. International Journal of Robust and Nonlinear Control21(16): 1865–1879.
22.
YilmazCHurmuzluY (2000) Eliminating the reaching phase from variable structure control. Journal of Dynamic Systems, Measurement, and Control122(4): 753–757.
23.
YuXManZ (1996) Model reference adaptive control systems with terminal sliding modes. International Journal of control64(6): 1165–1176.
24.
YuXZhihongM (2002) Fast terminal sliding-mode control design for nonlinear dynamical systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications49(2): 261–264.
25.
ZhihongMYuXH (1997) Terminal sliding mode control of MIMO linear systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications44(11): 1065–1070.
