Recent Advances in Nonsingular Terminal Sliding Mode Control Method

The terminal sliding mode (TSM) control method has become a hot topic in recent years due to its special merit on finite-time convergence and good robustness. One critical issue is how to balance the singularity of control law and the fast convergence of closed-loop system. The chapter reviews the research history of the singularity and introduces the recent advance on nonsingular and fast terminal sliding mode (NFTSM) control method. The synthesis of NFTSM controller synthesis is based on a newly proposed nonsingular fast terminal function and a terminal attractor with nonnegative exponential coefficient. Both theoretical analyses and computer simulations have proved its effectiveness under the condition that plant uncertainties are bounded.

[1]  Martin Plátek,et al.  A Scale of Context Sensitive Languages: Applications to Natural Language , 1978, Inf. Control..

[2]  Zheng Wang,et al.  Adaptive backstepping second order sliding mode control of non-linear systems , 2013, Int. J. Model. Identif. Control..

[3]  Xinghuo Yu,et al.  Terminal sliding mode control of MIMO linear systems , 1997 .

[4]  Petros A. Ioannou,et al.  Adaptive Sliding Mode Control Design fo ra Hypersonic Flight Vehicle , 2004 .

[5]  Hisham M. Soliman,et al.  Robust guaranteed-cost sliding control for brushless DC motors by LMI , 2012, Int. J. Model. Identif. Control..

[6]  Xinghuo Yu,et al.  Terminal sliding mode control design for uncertain dynamic systems , 1998 .

[7]  Hu Jian-bo Terminal sliding mode control for a class of nonlinear systems , 2005 .

[8]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1996, Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS'96 -.

[9]  Xinghuo Yu,et al.  Terminal sliding modes with fast transient performance , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[10]  Zhihong Man,et al.  Non-singular terminal sliding mode control and its application for robot manipulators , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[11]  S. Gulati,et al.  Terminal sliding modes: a new approach to nonlinear control synthesis , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[12]  Roland Siegwart,et al.  Backstepping and Sliding-mode Techniques Applied to an Indoor Micro Quadrotor , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[13]  Xinghuo Yu,et al.  Robust global terminal sliding mode control of SISO nonlinear uncertain systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[14]  K. Furuta Sliding mode control of a discrete system , 1990 .

[15]  Keith J. Burnham,et al.  Dynamic sliding mode control design , 2005 .

[16]  Vadim I. Utkin,et al.  Sliding mode control design principles and applications to electric drives , 1993, IEEE Trans. Ind. Electron..

[17]  G. Hirzinger,et al.  Finite-time tracking for robot manipulators with singularity-free continuous control: a passivity-based approach , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[18]  Zhuang Kai Terminal sliding mode control for high-order nonlinear dynamic systems , 2002 .

[19]  Kang Yu Fast Terminal Sliding Mode Control of Uncertain Multivariable Linear Systems , 2003 .

[20]  Xinghuo Yu,et al.  Fast terminal sliding-mode control design for nonlinear dynamical systems , 2002 .

[21]  Jialu Du,et al.  Global fast terminal sliding mode control for robotic manipulators , 2006, Int. J. Model. Identif. Control..

[22]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[23]  Young,et al.  [IEEE Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS\'96 - - Tokyo, Japan (5-6 Dec. 1996)] Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS\'96 - - A control engineer\'s guide to sliding mode control , 1996 .

[24]  Hong Ren Wu,et al.  A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators , 1994, IEEE Trans. Autom. Control..

[25]  Toshio Yoshimura Adaptive sliding mode control for uncertain discrete-time systems using an improved reaching law , 2012, Int. J. Model. Identif. Control..

[26]  Shihua Li,et al.  Finite-time cooperative attitude control of multiple spacecraft using terminal sliding mode control technique , 2012, Int. J. Model. Identif. Control..

[27]  HU Zhan-hu Sliding Mode Control of Low Chattering Non-singular Terminal , 2007 .

[28]  Lillie Dewan,et al.  An efficient control of rigid robotic manipulator with uncertainties using higher order sliding mode control , 2013, Int. J. Model. Identif. Control..

[29]  Feng Yong Design method of non-singular terminal sliding mode control systems , 2002 .