Adaptive Discrete-Time Higher Order Sliding Mode

The concept of discrete-time higher order sliding mode (DHOSM) has received increased attention. However, because of the dearth of knowledge on bound of the external disturbance in the system, an adaptive control law is desirable. This brief presents a technique to design a DHOSM control with adaptive switching gains where the bound on the disturbance is considered to be unknown.

[1]  Satnesh Singh,et al.  Stochastic discrete higher order sliding mode control , 2017, 2017 25th Mediterranean Conference on Control and Automation (MED).

[2]  Yuri B. Shtessel,et al.  Sliding mode control with gain adaptation—Application to an electropneumatic actuator , 2013 .

[3]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[4]  Xinghuo Yu,et al.  Analysis of Zero-Order Holder Discretization of Two-Dimensional Sliding-Mode Control Systems , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Fairouz Tchier,et al.  Design of an adaptive tracker for n-link rigid robotic manipulators based on super-twisting global nonlinear sliding mode control , 2017, Int. J. Syst. Sci..

[6]  Satnesh Singh,et al.  A modified discrete-time sliding surface design for unmatched uncertainties , 2017, 2017 Australian and New Zealand Control Conference (ANZCC).

[7]  Maolin Jin,et al.  A New Adaptive Sliding-Mode Control Scheme for Application to Robot Manipulators , 2016, IEEE Transactions on Industrial Electronics.

[8]  Huanshui Zhang,et al.  Optimal Control and Stabilization for Networked Control Systems With Packet Dropout and Input Delay , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  Xinghuo Yu,et al.  Computer-Controlled Variable Structure Systems: The State-of-the-Art , 2012, IEEE Transactions on Industrial Informatics.

[10]  Xinghuo Yu,et al.  Discrete-Time Terminal Sliding Mode Control Systems Based on Euler's Discretization , 2014, IEEE Transactions on Automatic Control.

[11]  Bijnan Bandyopadhyay,et al.  Robust Sliding Mode Control: An Event-Triggering Approach , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Zbigniew Galias.  Dynamical Behaviors of Discretized Second-Order Terminal Sliding-Mode Control Systems , 2012, IEEE Transactions on Circuits and Systems II: Express Briefs.

[13]  Fairouz Tchier,et al.  A novel robust adaptive second-order sliding mode tracking control technique for uncertain dynamical systems with matched and unmatched disturbances , 2017 .

[14]  Andrzej Bartoszewicz,et al.  Reaching law for DSMC systems with relative degree 2 switching variable , 2017, Int. J. Control.

[15]  Zhihong Man,et al.  Robust Control of a Vehicle Steer-by-Wire System Using Adaptive Sliding Mode , 2016, IEEE Transactions on Industrial Electronics.

[16]  Franck Plestan,et al.  An adaptive solution for robust control based on integral high‐order sliding mode concept , 2015 .

[17]  G. Monsees,et al.  Adaptive switching gain for a discrete-time sliding mode controller , 2002 .

[18]  Xinghuo Yu,et al.  Chattering-free discrete-time sliding mode control , 2016, Autom..

[19]  Bijnan Bandyopadhyay,et al.  On Discretization of Continuous-Time Terminal Sliding Mode , 2006, IEEE Transactions on Automatic Control.

[20]  Peng Shi,et al.  Adaptive Sliding-Mode Control of Markov Jump Nonlinear Systems With Actuator Faults , 2017, IEEE Transactions on Automatic Control.

[21]  Xiaohua Xia,et al.  Dynamics of Discrete-Time Sliding-Mode-Control Uncertain Systems With a Disturbance Compensator , 2014, IEEE Transactions on Industrial Electronics.

[22]  A. Levant.  Sliding order and sliding accuracy in sliding mode control , 1993 .

[23]  N. Sharma,et al.  Discrete higher order sliding mode: concept to validation , 2017 .

[24]  Yuri B. Shtessel,et al.  New methodologies for adaptive sliding mode control , 2010, Int. J. Control.

[25]  Andrzej Bartoszewicz,et al.  Generalization of Gao's Reaching Law for Higher Relative Degree Sliding Variables , 2018, IEEE Transactions on Automatic Control.

[26]  Jian Liu,et al.  Fixed-Time Leader-Following Consensus for Second-Order Multiagent Systems With Input Delay , 2017, IEEE Transactions on Industrial Electronics.

[27]  Khadija Dehri,et al.  Discrete second‐order sliding mode control based on optimal sliding function vector for multivariable systems with input–output representation , 2016 .

[28]  Dumitru Baleanu,et al.  Global sliding mode control via LMI approach for uncertain chaotic systems with input nonlinearities and multiple delays , 2018 .

[29]  Fairouz Tchier,et al.  A new LMI-based robust finite-time sliding mode control strategy for a class of uncertain nonlinear systems , 2015, Kybernetika.

[30]  Bijnan Bandyopadhyay,et al.  A generalized reaching law for discrete time sliding mode control , 2015, Autom..

[31]  Satyajit Hemant Chincholkar,et al.  A Modified Hysteresis-Modulation-Based Sliding Mode Control for Improved Performance in Hybrid DC–DC Boost Converter , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  Weibing Gao,et al.  Discrete-time variable structure control systems , 1995, IEEE Trans. Ind. Electron..

[33]  Isaac Chairez,et al.  Control of discrete time systems based on recurrent Super-Twisting-like algorithm. , 2016, ISA transactions.

[34]  Nalin Kumar Sharma,et al.  Reduced output feedback based discrete-time first-order and higher-order sliding mode control , 2017, 2017 11th Asian Control Conference (ASCC).

[35]  Nalin Kumar Sharma,et al.  Optimal discrete higher‐order sliding mode control of uncertain LTI systems with partial state information , 2017 .

[36]  Xiaoyu Hu,et al.  Fast Fixed-Time Nonsingular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Power System , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[37]  Nalin Kumar Sharma,et al.  A Novel Second-order Recursive Reaching Law based Discrete-time Sliding Mode Control , 2016 .

[38]  Ling Liu,et al.  Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system , 2016 .