Tuning Guidelines for an Adaptive-Gain Parabolic Sliding Mode Filter

This paper quantitatively evaluates the performance of an adaptive-gain parabolic sliding mode filter (AG-PSMF), which is for removing noise in feedback control of mechatronic systems under different parameter values and noise intensities. The evaluation results show that, due to the nonlinearity of AG-PSMF, four performance measurements, i.e., transient time, overshoot magnitude, tracking error and computational time, vary widely under different conditions. Based on the evaluation results, the paper provides practical tuning guidelines for AG-PSMF to balance the tradeoff among the four measurements. The effectiveness of the guidelines is validated through numerical examples.

[1]  Motoji Yamamoto,et al.  Improved velocity feedback for position control by using a quadratic sliding mode filter , 2011, 2011 11th International Conference on Control, Automation and Systems.

[2]  Xiaogang Xiong,et al.  Discrete-Time Sliding Mode Filter with Adaptive Gain , 2016 .

[3]  Yuanqing Xia,et al.  Active disturbance rejection control for uncertain multivariable systems with time-delay , 2007 .

[4]  J. Han,et al.  NONLINEAR TRACKING-DIFFERENTIATOR , 1994 .

[5]  Yuxin Su,et al.  Disturbance-rejection high-precision motion control of a Stewart platform , 2004, IEEE Transactions on Control Systems Technology.

[6]  Y. Su,et al.  Nonlinear PID control of a six-DOF parallel manipulator , 2004 .

[7]  Dong Sun,et al.  Comments on Active Disturbance Rejection Control , 2007, IEEE Trans. Ind. Electron..

[8]  Takanori Emaru,et al.  Research on estimating smoothed value and differential value by using sliding mode system , 2003, IEEE Trans. Robotics Autom..

[9]  Dong Sun,et al.  Design of an enhanced nonlinear PID controller , 2005 .

[10]  Huang Yuan-can.  Frequency Characteristic of Second-Order Tracking-Differentiator , 2003 .

[11]  Yuanying Qiu,et al.  Motion prediction and supervisory control of the macro–micro parallel manipulator system , 2011, Robotica.

[12]  Takanori Emaru,et al.  Research on Signal Tracking Performance of Nonlinear Digital Filter ESDS , 2004 .

[13]  Shijie Cheng,et al.  Application of Nonlinear PID Controller in Superconducting Magnetic Energy Storage , 2005 .

[14]  Bao-Zhu Guo,et al.  On convergence of tracking differentiator and application to frequency estimation of sinusoidal signals , 2011, 2011 8th Asian Control Conference (ASCC).

[15]  Motoji Yamamoto,et al.  Real-Time Quadratic Sliding Mode Filter for Removing Noise , 2012, Adv. Robotics.

[16]  Motoji Yamamoto,et al.  Parameter selection guidelines for a parabolic sliding mode filter based on frequency and time domain characteristics , 2012 .

[17]  Yuanqing Xia,et al.  Overview of ADRC , 2013 .

[18]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..