A Variable Gain Sliding Mode Tracking Differentiator for Derivative Estimation of Noisy Signals

Estimating reliable signal component and its derivatives from noisy feedback signal is important in control systems. Toward this problem, this article presents a new model-free variable gain sliding mode tracking differentiator for derivative estimation of noisy signals by modifying a Levant and Yu’s sliding mode tracking differentiator. Specifically, different from Levant and Yu’s TD, the new TD employs an additional variable that contributes to overshoot reduction. In addition, the new TD adaptively changes its gains for improving the tracking and filtering performances. Moreover, the new TD only uses previous output values and it does not require input signal model in advance. The advantages of the new TD over previous TDs are confirmed through numerical examples.

[1]  Xiaogang Xiong,et al.  A New Quick-Response Sliding Mode Tracking Differentiator With its Chattering-Free Discrete-Time Implementation , 2019, IEEE Access.

[2]  Leonid M. Fridman,et al.  Output-feedback variable gain super-twisting algorithm for arbitrary relative degree systems , 2018, Int. J. Control.

[3]  Xinghuo Yu,et al.  Sliding-Mode-Based Differentiation and Filtering , 2018, IEEE Transactions on Automatic Control.

[4]  Motoji Yamamoto,et al.  Improving velocity feedback for position control by using a discrete-time sliding mode filtering with adaptive windowing , 2014, Adv. Robotics.

[5]  Arie Levant,et al.  Globally convergent differentiators with variable gains , 2018, Int. J. Control.

[6]  Maurizio Cirrincione,et al.  Robust Active Disturbance Rejection Control of Induction Motor Systems Based on Additional Sliding-Mode Component , 2017, IEEE Transactions on Industrial Electronics.

[7]  Alfonso Damiano,et al.  Second-order sliding-mode control of DC drives , 2004, IEEE Transactions on Industrial Electronics.

[8]  Myo Thant Sin Aung,et al.  A New Parabolic Sliding Mode Filter Augmented by a Linear Low-Pass Filter and Its Application to Position Control , 2018 .

[9]  Yuanqing Xia,et al.  Active Disturbance Rejection Control for Active Suspension System of Tracked Vehicles With Gun , 2018, IEEE Transactions on Industrial Electronics.

[10]  Avrie Levent,et al.  Robust exact differentiation via sliding mode technique , 1998, Autom..

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

[12]  Mahdi Tavakoli,et al.  Nonlinear Disturbance Observer Design For Robotic Manipulators , 2013 .

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

[14]  Leonid Fridman,et al.  Multivariable extension of global finite‐time HOSM based differentiator for output‐feedback unit vector and smooth binary control , 2019 .

[15]  Zeyu Song,et al.  Study on active disturbance rejection control with actuator saturation to reduce the load of a driving chain in wind turbines , 2019 .

[16]  Shanhai Jin,et al.  A Chattering-Free Sliding Mode Filter Enhanced by First Order Derivative Feedforward , 2020, IEEE Access.

[17]  Leonid M. Fridman,et al.  Global and exact HOSM differentiator with dynamic gains for output-feedback sliding mode control , 2017, Autom..

[18]  Leonid Fridman,et al.  Generalized Model Reference Adaptive Control by Means of Global HOSM Differentiators , 2019, IEEE Transactions on Automatic Control.

[19]  Luis F. Luque-Vega,et al.  Robust block second order sliding mode control for a quadrotor , 2012, J. Frankl. Inst..