On extended state predictor observer based active disturbance rejection control for uncertain systems with sensor delay
Abstract
This paper considers the control problem for a class of sensor delay systems with nonlinear unknown dynamics and external disturbances. The extended state predictor observer (ESPO) based active disturbance rejection control (ADRC) is first proposed to timely estimate and compensate for the "total disturbance" under sensor delay. The timedomain stability of the closed-loop system is rigorously studied by discussing the bound of tracking error between state and its desired trajectory. More importantly, it is proven that the proposed method can greatly improve the existing PO based control in dealing with the "total disturbance" in the low frequency range. Also, the simulation results show the effectiveness of the ESPO based ADRC for tackling several kinds of uncertainties.
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The selection of the ESPO observer bandwidth ωe is regulated by the Hurwitz stability criterion.
“The Hurwitz stability criterion regulates the selection of 𝜔 𝑒 ; thus, the complete details of the ESPO used in this study are outlined in [30,31].”
From A comparative study on time-delay estimation for time-delay nonlinear system control (2025) · cites this paper as [31]
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 · see citing works
Time-delay systems: an overview of some recent advances and open problems
Richard, J.-P. (2003) · Automatica · doi:10.1016/s0005-1098(03)00167-5 · Cited by 3,353 · see citing works
Delay Compensation for Nonlinear, Adaptive, and PDE Systems
Krstić, M. (2009) · Systems & control · doi:10.1007/978-0-8176-4877-0 · Cited by 1,064 · see citing works
Disturbance Observer-Based Control: Methods and Applications
Li, S., Yang, J. T., Chen, W., & Chen, X. (2014) · Cited by 840 · see citing works
Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator
Zhong, Q., & Rees, D. (2004) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.1850529 · Cited by 428 · see citing works
Sira-Ramirez, H. J., Flores, J. L., García‐Rodríguez, C., & Contreras-Ordaz, M. A. (2014) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2014.2298238 · Cited by 359 · see citing works
On Convergence of the Nonlinear Active Disturbance Rejection Control for MIMO Systems
Guo, B., & Zhao, Z. (2013) · SIAM Journal on Control and Optimization · doi:10.1137/110856824 · Cited by 301 · see citing works
Dead-time compensators: A survey
Normey-Rico, J. E., & Camacho, E. F. (2007) · Control Engineering Practice · doi:10.1016/j.conengprac.2007.05.006 · Cited by 265 · see citing works
Modified active disturbance rejection control for time-delay systems
Zhao, S., & Gao, Z. (2013) · ISA Transactions · doi:10.1016/j.isatra.2013.09.013 · Cited by 244 · see citing works
Back, J., & Shim, H. (2008) · Automatica · doi:10.1016/j.automatica.2008.02.024 · Cited by 243 · see citing works
Active disturbance rejection control for uncertain multivariable systems with time-delay
Xia, Y., Shi, P., Liu, G. P., Rees, D., & Han, J. (2006) · IET Control Theory and Applications · doi:10.1049/iet-cta:20050138 · Cited by 200 · see citing works
Optimal fast tracking observer bandwidth of the linear extended state observer
Yoo, D., Yau, S. S. ‐., & Gao, Z. (2006) · International Journal of Control · doi:10.1080/00207170600936555 · Cited by 185 · see citing works
Effective Dead-Time Compensation Using a Simple Vectorial Disturbance Estimator in PMSM Drives
Kim, S.-Y., Lee, W., Rho, M.-S., & Park, S.-Y. (2009) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2009.2033098 · Cited by 184 · see citing works
Predictive active disturbance rejection control for processes with time delay
Zheng, Q., & Gao, Z. (2013) · ISA Transactions · doi:10.1016/j.isatra.2013.09.021 · Cited by 175 · see citing works
Control of integral processes with dead-time. Part 1: Disturbance observer-based 2DOF control scheme
Zhong, Q., & Normey-Rico, J. E. (2002) · IEE Proceedings - Control Theory and Applications · doi:10.1049/ip-cta:20020438 · Cited by 101 · see citing works
Disturbance rejection of dead-time processes using disturbance observer and model predictive control
Yang, J. T., Li, S., Chen, X., & Li, Q. (2010) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2010.06.006 · Cited by 83 · see citing works
Analysis of active disturbance rejection control for processes with time delay
Tan, W., & Fu, C. (2015) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2015.7171948 · Cited by 32 · see citing works
Zhang, Y., Li, D., Gao, Z., & Zheng, Q. (2015) · ISA Transactions · doi:10.1016/j.isatra.2015.08.002 · Cited by 23 · see citing works
On control design and tuning for first order plus time delay plants with significant uncertainties
Wang, L., Li, Q., Tong, C., Yin, Y., Gao, Z., Zheng, Q., & Zhang, W. (2015) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2015.7172163 · Cited by 22 · see citing works
Wang, J., Vedyakov, A. A., Vediakova, A. O., Pyrkin, A. A., Bobtsov, A. A., & Shavetov, S. V. (2015) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2015.09.304 · Cited by 20 · see citing works
A multiple periodic disturbance rejection control for process with long dead-time
Shen, P., & Li, H. (2014) · Journal of Process Control · doi:10.1016/j.jprocont.2014.06.008 · Cited by 11 · see citing works
Shimmyo, S., & Ohnishi, K. (2015) · Proceedings of the Annual Conference of the IEEE Industrial Electronics Society · doi:10.1109/iecon.2015.7392486 · Cited by 8 · see citing works
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Ran, M., Wang, Q., Dong, C., & Xie, L. (2020) · Automatica · doi:10.1016/j.automatica.2019.108692 · Cited by 136 · see citing works
On comparison of modified ADRCs for nonlinear uncertain systems with time delay
Chen, S., Xue, W., Zhong, S., & Huang, Y. (2018) · Science China Information Sciences · doi:10.1007/s11432-017-9403-x · Cited by 122 · see citing works
Self-citationAnalytical design of active disturbance rejection control for nonlinear uncertain systems with delay
Chen, S., Xue, W., & Huang, Y. (2018) · Control Engineering Practice · doi:10.1016/j.conengprac.2018.12.007 · Cited by 74 · see citing works
Self-citationSu, Z., Sun, L. N., Xue, W., & Lee, K. Y. (2023) · Control Engineering Practice · doi:10.1016/j.conengprac.2023.105716 · Cited by 64 · see citing works
Self-citationTuning of Smith predictor based generalized ADRC for time-delayed processes via IMC
Zhang, B., Tan, W., & Li, J. (2019) · ISA Transactions · doi:10.1016/j.isatra.2019.11.002 · Cited by 61 · see citing works
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Sun, Y., Su, Z., Sun, L. N., & Zhao, G. (2022) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2022.3201539 · Cited by 46 · see citing works
Wu, Q., Yu, L. J., Wang, Y.-W., & Zhang, W. (2020) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2020.1003264 · Cited by 42 · see citing works
Sun, J., Liu, X., Yang, J., Zeng, Z., & Li, S. (2022) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2022.3172756 · Cited by 33 · see citing works
Linear Active Disturbance Rejection Control for Processes With Time Delays: IMC Interpretation
Fu, C., & Tan, W. (2020) · IEEE Access · doi:10.1109/access.2020.2967806 · Cited by 29 · see citing works
Nahri, S. N. F., Du, S., & van Wyk, B. J. (2023) · Machines · doi:10.3390/machines11020144 · Cited by 23 · see citing works
Han, W., Wang, G., & Stanković, A. M. (2019) · Control Engineering Practice · doi:10.1016/j.conengprac.2019.01.016 · Cited by 22 · see citing works
Stabilization of Linear Systems With Time Delay and Disturbance: A New State Prediction Approach
Zhao, K., Zhang, J., Sun, Z., & Chen, D. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2023.3312558 · Cited by 20 · see citing works
Huang, T., Hu, G., Meng, Z., & Zeng, D. (2021) · Control Engineering Practice · doi:10.1016/j.conengprac.2021.104939 · Cited by 18 · see citing works
Chen, Z., Hao, Y.-S., Su, Z., Zhao, G., & Lee, K. Y. (2024) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2024.3398776 · Cited by 17 · see citing works
Data-driven iterative tuning based active disturbance rejection control for FOPTD model
Chen, Z., Hao, Y., Su, Z., & Sun, L. N. (2021) · ISA Transactions · doi:10.1016/j.isatra.2021.09.013 · Cited by 17 · see citing works
Yi, H., Su, Z., & Wang, P.-H. (2023) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2023.3290252 · Cited by 12 · see citing works
Yu, J., Wei, Y., Chen, Y., Zhang, H., Xu, J., & Zhao, Z. (2025) · Control Engineering Practice · doi:10.1016/j.conengprac.2025.106288 · Cited by 12 · see citing works
Chen, S., Xue, W., Huang, Y., & Liu, P. (2017) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.23919/acc.2017.7963743 · Cited by 10 · see citing works
Self-citationMei, D., & Zhu-qing, Y. (2021) · Assembly Automation · doi:10.1108/aa-10-2020-0158 · Cited by 9 · see citing works
On the stability of active disturbance rejection control for first-order plus delay time processes
Skupin, P., Nowak, P., & Czeczot, J. (2021) · ISA Transactions · doi:10.1016/j.isatra.2021.06.030 · Cited by 8 · see citing works
Time-Delay Estimation Improves Active Disturbance Rejection Control for Time-Delay Nonlinear Systems
Nahri, S. N. F., Du, S., van Wyk, B. J., & Nyasulu, T. D. (2024) · Machines · doi:10.3390/machines12080552 · Cited by 7 · see citing works
ESPO Based Course-tracking Control of Ships with Input Delay
Wu, Y., Gao, P., Wu, R., & Du, J. (2023) · International Journal of Control Automation and Systems · doi:10.1007/s12555-021-0782-9 · Cited by 6 · see citing works
Liu, X., Shi, K., Tang, Y., Tang, L. B., Wei, Y., & Han, Y. (2023) · Electronic Research Archive · doi:10.3934/era.2023095 · Cited by 5 · see citing works
Wang, Y., Chen, Z., Sun, M., & Sun, Q. (2023) · Journal of Systems Engineering and Electronics · doi:10.23919/jsee.2023.000046 · Cited by 4 · see citing works
Jain, S., & Hote, Y. V. (2023) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312221149465 · Cited by 4 · see citing works
A comparative study on time-delay estimation for time-delay nonlinear system control
Nahri, S. N. F., Department of Electrical Engineering, F. O. E. A. T. B. E., Du, S., van Wyk, B. J., & Ajayi, O. K. (2025) · AIMS Electronics and Electrical Engineering · doi:10.3934/electreng.2025015 · Cited by 3 · see citing works
Nahri, S. N. F., Du, S., van Wyk, B. J., & Nyasulu, T. D. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-72059-8_22 · Cited by 3 · see citing works
Ba, D., Chen, G., Li, P., An, K., & Liu, X. (2022) · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · doi:10.1177/09596518221134136 · Cited by 3 · see citing works
Kumar, V. A., Bombuwela, D., Cao, Z., & Zhang, X. (2018) · Australian & New Zealand Control Conference (ANZCC) · doi:10.1109/anzcc.2018.8606571 · Cited by 2 · see citing works
High-order LTD Based Predictive LADRC for Uncertain Systems with Time Delay
Gao, Y., Wen-hai, W., & Zhang, Y. (2019) · Chinese Control Conference (CCC) · doi:10.23919/chicc.2019.8866097 · Cited by 2 · see citing works
Bai, Y.-C., Li, B., Zhang, H., Wang, S., Yan, D., Gao, Z., & Pan, W. (2022) · Sensors · doi:10.3390/s22197547 · Cited by 1 · see citing works
Modified Active Disturbance Rejection Controller Design for Multivariable System
K, R. K., & Narayanan, S. (2018) · International Conference on Energy, Power and Environment (ICEPE) · doi:10.1109/epetsg.2018.8658898
Two Degree of Freedom Active Disturbance Rejection Control Strategy for Time Delay Systems
Shan, X., & Cai, T. (2023) · Chinese Control Conference (CCC) · doi:10.23919/ccc58697.2023.10240233
Fractional Order Active Disturbance Rejection Controller for First Order Plus Time Delay Systems
Chen, P., Liu, Y., Wu, Z., Luo, Y., & Chen, Y. (2023) · Chinese Control and Decision Conference (CCDC) · doi:10.1109/ccdc58219.2023.10327459
Shilsar, S. M., Khosravi, A., & Mojallali, H. (2026) · Transactions of the Institute of Measurement and Control · doi:10.1177/01423312251411419
- Authors
- Xue, W., Liu, P., Chen, S., & Huang, Y.
- Affiliations
- Academy of Mathematics and Systems Science (CN)
- Venue
- 2016 16th International Conference on Control, Automation and Systems (ICCAS)
- Publisher
- IEEE
- Published
- 2016-10
- Pages
- 1267-1271
- OpenAlex
- W2580857697
- Cited by
- 35
- References
- 22
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 10 · 2022: 4 · 2021: 4 · 2020: 2 · 2019: 4 · 2018: 4 · 2017: 1
- FWCI
- 4.76
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- International Conference on Control, Automation and Systems (ICCAS) (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Keywords
- active disturbance rejection control, sensor delay, uncertain nonlinear systems, external disturbance estimation, disturbance compensation, tracking error bounds
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