Second-Order Sliding Mode Controller Design with a Larger Domain of Attraction

Shtessel Y, Edwards C, Fridman L, et al., Sliding Mode Control and Observation, Birkhäuser, Boston, 2013. Zhao Z, Yang J, Li S, et al., Continuous output feedback TSM control for uncertain systems with a DC-AC inverter example, IEEE Transactions on Circuits and Systems II: Express Briefs, 2018, 65(1): 71–75. Zhu X, Xiang Z, Quan L, et al., Multimode optimization design methodology for a flux-controllable stator permanent magnet memory motor considering driving cycles, IEEE Transactions on Industrial Electronics, 2018, 65(7): 5353–5366. Fu J, Ma R, and Chai T, Adaptive finite-time stabilization of a class of uncertain nonlinear systems via logic-based switchings, IEEE Transactions on Automatic Control, 2017, 62(11): 5998–6003. Shen Y, Zhang D, and Xia X, Continuous observer design for a class of multi-output nonlinear systems with multi-rate sampled and delayed output measurements, Automatica, 2017, 75: 127–132. Sun Z, Yun M, and Li T, A new approach to fast global finite-time stabilization of high-order nonlinear system, Automatica, 2017, 81(6): 455–463. Zhang C, Yan Y, Ashwin N, et al., Practically oriented finite-fime control design and implementation: Application to series elastic actuator, IEEE Transactions on Industrial Electronics, 2018, 65(5): 4166–4176. He R and Gonzalez H, Numerical synthesis of pontryagin optimal control minimizers using sampling-based methods, Proceedings of the IEEE Conference on Decision and Control, Melbourne, Australia, 2017, 733–738. Ding S H, Zheng W X, Sun J, et al., Second-order sliding mode controller design and its implementation for buck converters, IEEE Transactions on Industrial Informatics, 2018, 14(5): 1990–2000. Yang J and Ding Z, Global output regulation for a class of lower triangular nonlinear systems: A feedback domination approach, Automatica, 2017, 76: 65–69. Ding S H and Li S, Second-order sliding mode controller design subject to mismatched term, Automatica, 2017, 77: 388–392. Wen S, Zeng Z, and Huang T, Robust probabilistic sampling H∞ output tracking control for a class of nonlinear networked systems with multiplicative noises, Journal of the Franklin Institute, 2013, 350(5): 1093–1111. Feng Y, Yu X, and Han F, On nonsingular terminal sliding-mode control of nonlinear systems, Automatica, 2013, 49(6): 1715–1722. Chen Q, Yu L, and Nan Y, Finite-time tracking control for motor servo systems with unknown dead-zones, Journal of Systems Science and Complexity, 2013, 26(6): 940–956. Wang H, Pan Y, Li S, et al., Robust sliding mode control for robots driven by compliant actuators, IEEE Transactions on Control Systems Technology, 2018, DOI: https://doi.org/10.1109/TCST.2018.2799587, Publised Online. Wang X, Li S, Yu X, et al., Distributed active anti-disturbance consensus for leader-follower higher-order multi-agent systems with mismatched disturbances, IEEE Transactions on Automatic Control, 2017, 62(11): 5795–5801. Su J and Chen W, Model-based fault diagnosis system verification using reachability analysis, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2017, https://doi.org/10.1109/TSMC.2017.2710132, Published Online. Du H, Yu X, Chen M, et al., Chattering-free discrete-time sliding mode control, Automatica, 2016, 68(6): 87–91. Derafa L, Benallegue A, and Fridman L, Super twisting control algorithm for the attitude tracking of a four rotors UAV, Journal of Franklin Institute, 2012, 349(2): 685–699. Utkin V, Sliding Modes in Control and Optimization, Springer, Berlin, 1992. Mu C, Xu W, and Sun C, On switching manifold design for terminal sliding mode control, Journal of the Franklin Institute, 2016, 353(7): 1553–1572. Mu C and He H, Dynamic behavior of terminal sliding mode control, IEEE Transactions on Industrial Electronics, 2018, 65(4): 3480–3490. Slotine J J and Sastry S, Tracking control of nonlinear systems using sliding surfaces with application to robot manipulator, International Journal of Control, 1983, 38(2): 465–492. Ding S, Liu L, and Zheng W, Sliding mode direct yaw-moment control design for in-wheel electric vehicles, IEEE Transactions on Industrial Electronics, 2017, 64(8): 6752–6762. Levant A, Sliding order and sliding accuracy in sliding mode control, Intenational Journal of Control, 1993, 58(6): 1247–1263. Emelyanov S V, Korovin S K, and Levantovsky L V, Second order sliding modes in controlling uncertain systems, Soviet Journal of Computing and System Science, 1986, 24(4): 63–68. Pico J, Pico-Marco E, Vignoni A, et al., Stability preserving maps for finite-time convergence: Super-twisting sliding-mode algorithm, Automatica, 2013, 49(2): 534–539. Levant A, Quasi-continuous high-order sliding-mode controllers, IEEE Transactions on Automatic Control, 2005, 50(11): 1812–1816. Cruz-Zavala E and Moreno J A, Homogeneous high order sliding mode design: A Lyapunov approach, Automatica, 2017, 80: 232–238. Ding S H, Levant A, and Li S H, Simple homogeneous sliding-mode controller, Automatica, 2016, 67(5): 22–32. Polyakov A and Poznyak A, Reaching time estimation for “super-twisting” second order sliding mode controller via Lyapunov function designing, IEEE Transactions on Automatic Control, 2009, 54(8): 1951–1955. Harmouche M, Laghrouche S, and Chitour Y, Robust and adaptive higher order sliding mode controllers, IEEE Conference on Decision and Control, Hawaii, 2012, 6436–6441. Ding S H, Wang J D, and Zheng W X, Second-order sliding mode control for nonlinear uncertain systems bounded by positive functions, IEEE Transactions on Industrial Electronics, 2015, 62(9): 5899–5909. Feng Y, Yu X, and Man Z, Nonsingular terminal sliding mode control of rigid manipulators, Automatica, 2002, 38(12): 2159–2167. Levant A, Principles of 2-sliding mode design, Automatica, 2007, 43(4): 576–586. Rocco P, Stability of pid control for industrial robot arms, IEEE Transactions on Robotics and Automation, 1996, 12(4): 606–614. Liu JK, Sliding Mode Control Design and Matlab Simulation, Tsinghua University Press, Beijing, 2012.