Discrete-Time Sliding Mode Filter with Adaptive Gain
Source abstract
Abstract
In feedback control of mechatronic systems, sensor signals are usually noisy and uncertain because of measurement errors and environmental disturbances. Such uncertainty and noise of feedback signals may cause instability of the controlled systems. This paper presents a new model-free discrete-time sliding mode filter for effectively removing noise by balancing the tradeoff between the filtering smoothness and the suppression of delay. The presented filter is an extension of a sliding mode filter (Jin et al. Real-time quadratic sliding mode filter for removing noise. Adv. Robot., 2012) by including an adaptive gain, of which value is determined in a similar way to that of a first-order adaptive windowing filter (Janabi-Sharifi et al. Discrete-time adaptive windowing for velocity estimation. IEEE Trans. Control Syst. Technol., 2000). The effectiveness of the presented filter is validated through numerical examples and experiments.
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Research context
OpenAlex topics: Adaptive Control of Nonlinear Systems · Hydraulic and Pneumatic Systems · Inertial Sensor and Navigation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Engineering, Yanbian University, Yanji 133002, China
School of Mechanical Engineering and Automation, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China
Funding
Yanbian University Research Fund
References (26)
Show source-provided references
1. A theoretical analysis of the properties of median filters10.1109/TASSP.1981.1163708 ↗
2. Moshnyaga, V., and Hashimoto, K. (2009, January 2–5). An efficient implementation of 1-D median filter. Proceedings of the 52nd IEEE International Midwest Symposium on Circuits and Systems, Cancun, Mexico.10.1109/MWSCAS.2009.5236059 ↗
3. Hargrave, P. (1989, January 21). A tutorial introduction to Kalman filtering. Proceedings of the IEE Colloquium on Kalman Filters: Introduction, Applications and Future Developments, London, UK.
4. Welch, G., and Bishop, G. (1995). An Introduction to the Kalman Filter, University of North Carolina. Department of Computer Science, Technical Report TR.
5. Robust exact differentiation via sliding mode technique10.1016/S0005-1098(97)00209-4 ↗
6. Higher-order sliding modes, differentiation and output-feedback control10.1080/0020717031000099029 ↗
7. Second-order sliding-mode observer for mechanical systems10.1109/TAC.2005.858636 ↗
8. M’Sirdi, N., Rabhi, A., Fridman, L., Davila, J., and Dalanne, Y. (2006, January 14–16). Second order sliding mode observer for estimation of velocities, wheel sleep, radius and stiffness. Proceedings of the 2006 American Control Conference, Minneapolis, MN, USA.10.1109/ACC.2006.1657230 ↗
9. Moreno, J., and Osorio, M. (2008, January 9–11). A Lyapunov approach to second-order sliding mode controllers and observers. Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico.10.1109/CDC.2008.4739356 ↗
10. Solvar, S., Le, V., Ghanes, M., Barbot, J., and Santomenna, G. (2010, January 8–10). Sensorless second order sliding mode observer for induction motor. Proceedings of the 2010 IEEE International Conference on Control Applications, Yokohama, Japan.10.1109/CCA.2010.5611102 ↗
11. Second-order sliding-mode observer for estimation of vehicle dynamic parameters10.1504/IJVD.2008.022576 ↗
12. Nonlinear tracking-differentiator
13. Research on estimating smoothed value and differential value by using sliding mode system10.1109/TRA.2003.810243 ↗
14. Frequency characteristic of second-order tracking-differentiator
15. Research on signal tracking performance of nonlinear digital filter ESDS10.1299/kikaic.70.2352 ↗
16. On convergence of tracking differentiator10.1080/00207179.2011.569954 ↗
17. Nonlinear PID control of a six-DOF parallel manipulator10.1049/ip-cta:20030967 ↗
18. Design of an enhanced nonlinear PID controller10.1016/j.mechatronics.2005.03.003 ↗
19. Application of nonlinear PID controller in superconducting magnetic energy storage
20. Real-time quadratic sliding mode filter for removing noise10.1163/156855312X633011 ↗
21. Parameter selection guidelines for a parabolic sliding mode filter based on frequency and time domain characteristics10.1155/2012/923679 ↗
22. Jin, S., Kikuuwe, R., and Yamamoto, M. (2011, January 26–29). Improved velocity feedback for position control by using a quadratic sliding mode filter. Proceedings of 11th International Conference on Control, Automation and Systems, Gyeonggi-do, Korea.
23. Discrete-time adaptive windowing for velocity estimation10.1109/87.880606 ↗
24. Implicit euler numerical scheme and chattering-free implementation of sliding mode systems10.1016/j.sysconle.2010.03.002 ↗
25. Proxy-based sliding mode control: A safer extension of PID position control10.1109/TRO.2010.2051188 ↗
26. Chattering-free digital sliding-mode control with state observer and disturbance rejection10.1109/TAC.2011.2174676 ↗