The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
On convergence of tracking differentiator
Abstract
The tracking differentiator was first proposed by Han in 1989 and the proof of convergence was presented the first time in Han and Wang (Han, J.Q., and Wang, W. (1994), ‘Nonlinear Tracking-differentiator’, Journal of Systems Science and Mathematical Science, 14, 177–183 (in Chinese)). Unfortunately, the proof there is incomplete. This problem has been open for over two decades. In this article, we give a rigorous proof under some additional conditions. An application for online estimation of the unknown frequencies for the finite sum of the sinusoidal signals is presented. The numerical simulations illustrate the effectiveness of the estimation for both linear and nonlinear tracking differentiators.
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Citations
Cites
From PID to Active Disturbance Rejection Control
Han, J. (2009) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2008.2011621 · Cited by 6,803
Higher-order sliding modes, differentiation and output-feedback control
Levant, A. (2003) · International Journal of Control · doi:10.1080/0020717031000099029 · Cited by 3,864
Robust exact differentiation via sliding mode technique
Levant, A. (1998) · Automatica · doi:10.1016/s0005-1098(97)00209-4 · Cited by 2,292
Second-order sliding-mode observer for mechanical systems
Davila, J. A., Fridman, L. M., & Levant, A. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.858636 · Cited by 1,204
IEEE Transactions on Industrial Electronics
(2023) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.41 · Cited by 669
New results on the synthesis of PID controllers
Silva, G. J., Datta, A., & Bhattacharyya, S. P. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/9.983352 · Cited by 459
A DSP-Based Active Disturbance Rejection Control Design for a 1-kW H-Bridge DC–DC Power Converter
Sun, B., & Gao, Z. (2005) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2005.855679 · Cited by 368
A globally convergent frequency estimator
Hsu, L., Ortega, R., & Damm, G. (1999) · IEEE Transactions on Automatic Control · doi:10.1109/9.754808 · Cited by 339
NONLINEAR TRACKING-DIFFERENTIATOR
Jing-qing, H., & Wang, W. (1994) · Xitong kexue yu shuxue · doi:10.12341/jssms09102 · Cited by 333
Disturbance-Rejection High-Precision Motion Control of a Stewart Platform
Su, Y. X., Duan, B. Y., Zheng, C. H., Zhang, Y. F., Chen, G. D., & Mi, J. W. (2004) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2004.824315 · Cited by 209
Cited by
On the convergence of an extended state observer for nonlinear systems with uncertainty
Guo, B.-Z., & Zhao, Z.-L. (2011) · Systems & Control Letters · doi:10.1016/j.sysconle.2011.03.008 · Cited by 893
Self-citationActive disturbance rejection control: Methodology and theoretical analysis
Huang, Y., & Xue, W. (2014) · ISA Transactions · doi:10.1016/j.isatra.2014.03.003 · Cited by 892
Xingling, S., & Honglun, W. (2015) · ISA Transactions · doi:10.1016/j.isatra.2015.02.013 · Cited by 196
Wang, C., Wang, D., & Han, Y. (2021) · International Journal of Control, Automation and Systems · doi:10.1007/s12555-020-0582-7 · Cited by 15
Metadata
- Authors
- Guo, B.-Z., & Zhao, Z.-L.
- Venue
- International Journal of Control
- Publisher
- Informa UK Limited
- Published
- 2011-04
- Volume
- 84
- Issue
- 4
- Pages
- 693-701
- ISSN
- 0020-7179 (ISSN-L)
- 1366-5820
- OpenAlex
- W2017116130
- Cited by
- 289
- References
- 14
- FWCI
- 9.70
- Type
- journal article
- Language
- en
- Open access
- closed
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