Discrete time switching reaching law design for an arbitrary order sliding variable

In this paper the reaching law approach to designing sliding mode controllers is used. In particular, the case of switching variable of relative degree r > 1 is considered. It is demonstrated, that the use of such a variable allows more freedom in designing the controller and can result in reducing the maximum absolute value of the control signal without compromising the robustness with respect to external disturbances.

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

[2]  G. Golo,et al.  Robust discrete-time chattering free sliding mode control , 2000 .

[3]  Andrzej Bartoszewicz,et al.  Discrete time sliding mode control with reduced switching – a new reaching law approach , 2016 .

[4]  Zidong Wang,et al.  Improved sliding mode control for discrete-time systems via reaching law , 2010 .

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

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

[7]  Andrzej Bartoszewicz,et al.  Remarks on Discrete-time Variable Structure Control Systems , 1996 .

[8]  Andrzej Bartoszewicz,et al.  Reaching law-based sliding mode congestion control for communication networks , 2014 .

[9]  Andrzej Bartoszewicz,et al.  New Switching and Nonswitching Type Reaching Laws for SMC of Discrete Time Systems , 2016, IEEE Transactions on Control Systems Technology.

[10]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[11]  Andrzej Bartoszewicz,et al.  Reaching Law Approach to the Sliding Mode Control of Periodic Review Inventory Systems , 2014, IEEE Transactions on Automation Science and Engineering.

[12]  Stanislav V. Emelyanov,et al.  Variable-Structure Control Systems , 1995 .

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

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

[15]  B. Drazenovic,et al.  The invariance conditions in variable structure systems , 1969, Autom..

[16]  Charles J. Fallaha,et al.  Sliding-Mode Robot Control With Exponential Reaching Law , 2011, IEEE Transactions on Industrial Electronics.

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

[18]  S. Żak,et al.  On discrete-time variable structure sliding mode control , 1999 .

[19]  Susy Thomas,et al.  Reaching law based sliding mode control for discrete MIMO systems , 2010, 2010 11th International Conference on Control Automation Robotics & Vision.

[20]  Bijnan Bandyopadhyay,et al.  A generalized reaching law with different convergence rates , 2016, Autom..

[21]  Aimeng Wang,et al.  A New Exponential Reaching Law of Sliding Mode Control to Improve Performance of Permanent Magnet Synchronous Motor , 2013, IEEE Transactions on Magnetics.

[22]  Andrzej Bartoszewicz,et al.  Improved robustness and performance of discrete time sliding mode control systems. , 2016, ISA transactions.

[23]  Haifeng Ma,et al.  Discrete-Time Sliding-Mode Control With Improved Quasi-Sliding-Mode Domain , 2016, IEEE Transactions on Industrial Electronics.

[24]  Bijnan Bandyopadhyay,et al.  Minimum Ultimate Band Design of Discrete Sliding Mode Control , 2015 .

[25]  Li Sun,et al.  Nonlinear Speed Control for PMSM System Using Sliding-Mode Control and Disturbance Compensation Techniques , 2013, IEEE Transactions on Power Electronics.

[26]  B. Draenovi.  The invariance conditions in variable structure systems , 1969 .