Abstract
Noise reduction is one of the important issues for feedback control systems. Toward this problem, this paper proposes a new sliding mode filter, which is an improvement of Lv et al. 's parabolic sliding mode filter. The proposed filter employs a first-order derivative feed-forward term for increasing both tracking and noise attenuating performances. Its discrete-time algorithm is derived by applying the implicit-Euler discretization, and it realizes exact convergence without producing chattering in discrete-time implementation. The effectiveness of the proposed filter is evaluated through an open-loop and a closed-loop numerical examples.
Highlights
Noise reduction is one of the important issues for feedback control systems
A large phase lag that is associated with a strong noise reduction may cause instability of the controlled systems
Kalman filters [1]–[3] are widely applied for removing noise. They may diverge in the cases of large initial errors, and their performance depends on the accuracy of the system model. As another example, sliding mode technique [4]–[8], which was initially developed for control of nonlinear dynamic systems [9]–[13], based super-twisting observers [14]–[18] have been of significant research interest and have great practical applications for their theoretical robustness, finite-time convergence, and sufficient tracking performance
Summary
Noise reduction is one of the important issues for feedback control systems. To remove noise, linear filters are widely applied owing to their simplicity. They may diverge in the cases of large initial errors, and their performance depends on the accuracy of the system model As another example, sliding mode technique [4]–[8], which was initially developed for control of nonlinear dynamic systems [9]–[13], based super-twisting observers [14]–[18] have been of significant research interest and have great practical applications for their theoretical robustness, finite-time convergence, and sufficient tracking performance. Jin et al.: Chattering-Free Sliding Mode Filter Enhanced by First Order Derivative Feedforward noise attenuation and the rapid response speed in the presence of strong noise contamination Toward these issues, this paper proposes a sliding mode filter, which is an improvement of PSMF-L, by introducing a first-order derivative feed-forward term.
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