Volume 13, Issue 2 (Journal of Control, V.13, N.2 Summer 2019)                   JoC 2019, 13(2): 23-32 | Back to browse issues page


XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Binazadeh T, Bahmani M. Robust Controller Design Based on Sliding Mode Observer in The Presence of Uncertainties and Actuator Saturation. JoC 2019; 13 (2) :23-32
URL: http://joc.kntu.ac.ir/article-1-510-en.html
1- Shiraz University of Technology,
Abstract:   (6062 Views)

This paper studies the design of a robust output feedback controller subject to actuator saturation. For this purpose, a robust high-gain sliding mode observer is used to estimate the state variables. Moreover, the combination of Composite Nonlinear Feedback (CNF) and Integral Sliding Mode (ISM) controllers are used for robust output tracking. This controller consists of two parts, the CNF part which is taken into account to modify the transient responses and the ISM part which is implemented to reject the disturbances. The two important issues in this paper are: considering the actuator saturation and designing the robust observer-based control law. Moreover, a theorem is given and proved that guarantees even if the actuator saturation takes place, the closed-loop system is stable and the output asymptotically tracks the step reference input. Finally, in order to show the performance of the proposed controller, it is applied to the yaw control of a helicopter and the simulation results verify the theoretical results.
 

Full-Text [PDF 610 kb]   (3060 Downloads)    
Type of Article: Research paper | Subject: Special
Received: 2017/08/3 | Accepted: 2018/07/7 | Published: 2019/10/2

References
1. B.M. Chen, T.H. Lee, K. Peng, V. Venkataramanan, "Composite nonlinear feedback control for linear systems with input saturation: theory and an application," IEEE Transactions Automatic Control, vol. 48, no. 3, pp. 427-439, 2003. [DOI:10.1109/TAC.2003.809148]
2. E. Jafari, and T. Binazadeh, "Modified composite nonlinear feedback control for output tracking of nonstep signals in singular systems with actuator saturation, " International Journal of Robust and Nonlinear Control, https://doi.org/10.1002/rnc.4290 [DOI:10.1002/rnc.4290, 2018.]
3. D. Lin and W. Lan, "Output feedback composite nonlinear feedback control for singular systems with input saturation" Journal of the Franklin Institute vol. 352, no. 1, pp. 384-398, 2015. [DOI:10.1016/j.jfranklin.2014.10.018]
4. R. Wang, C. Hu, F. Yan and M. Chadli, "Composite nonlinear feedback control for path following of four-wheel independently actuated autonomous ground vehicles, " IEEE Transactions on Intelligent Transportation Systems, vol. 17, no. 7, pp. 2063-2074, 2016. [DOI:10.1109/TITS.2015.2498172]
5. X. Lin, D. Lin, and W. Lan, "Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control" Transactions of the Institute of Measurement and Control, vol. 39, no. 3, pp. 352-360, 2017. [DOI:10.1177/0142331215605561]
6. Q. Xu, C. Zhang, C. Wen, and P. Wang, "A novel composite nonlinear controller for stabilization of constant power load in DC microgrid," IEEE Transactions on Smart Grid, 2017.
7. T. Binazadeh, and M. Bahmani, "Design of robust controller for a class of uncertain discrete-time systems subject to actuator saturation", IEEE Transactions on Automatic Control, vol. 62, no. 3, pp. 1505-1510, 2017. [DOI:10.1109/TAC.2016.2580662]
8. S. Mohammadpour and T. Binazadeh, "Observer-based synchronization of uncertain chaotic systems subject to input saturation", Transactions of the Institute of Measurement and Control, vol. 40, no. 8, pp.2525-2535, 2018. [DOI:10.1177/0142331217705435]
9. T. Binazadeh, and M. Bahmani, "Robust time-varying output tracking control in the presence of actuator saturation," Transactions of the Institute of Measurement and Control , vol. 40, no. 1, pp. 61-70, 2018. [DOI:10.1177/0142331216650022]
10. H.K. Khalil, and L. Pral, "High‐gain observers in nonlinear feedback control," International Journal of Robust and Nonlinear Control, vol. 24, no. 6, pp. 993-1015, 2014. [DOI:10.1002/rnc.3051]
11. V. Andrieu, , C. Prieur, S. Tarbouriech, and L. Zaccarian, "A hybrid scheme for reducing peaking in high-gain observers for a class of nonlinear systems," Automatica, vol. 72, pp.138-146, 2016. [DOI:10.1016/j.automatica.2016.06.013]
12. H.K. Khalil, and S. Priess, "Analysis of the use of low-pass filters with high-gain observers," IFAC-PapersOnLine, vol. 49, no. 18, pp. 488-492, 2016. [DOI:10.1016/j.ifacol.2016.10.212]
13. H.K. Khalil, "High-gain observers in feedback control: application to permanent magnet synchronous motors," IEEE Control Systems, vol. 37, no. 3, pp. 25-41, 2017. [DOI:10.1109/MCS.2017.2674438]
14. D.P. Nam, P.T. Thanh, T.X. Tinh, T.T. Dat, and V.M. Van, "High-gain observer based output feedback controller for a two-motor drive system: a separation principle approach," International Conference on Advanced Engineering Theory and Applications, pp. 840-849, 2017. [DOI:10.1007/978-3-319-69814-4_81]
15. A.A. Alfehaid, E.G. Strangas, and H.K. Khalil, "Speed control of permanent magnet synchronous motor using extended high-gain observer," IEEE American Control Conference (ACC) pp. 2205-2210, 2016. [DOI:10.1109/ACC.2016.7525245]
16. D. Won, W. Kim, and M. Tomizuka, "High-gain observer based integral sliding mode control for position tracking of electro-hydraulic servo systems," IEEE/ASME Transactions on Mechatronics, 2017. [DOI:10.1109/TMECH.2017.2764110]
17. D.P. Nam, P.T. Thanh, and T.X. Tinh, "Output feedback controller using high-gain observer in multi-motor drive systems," IEEE, International Conference on System Science and Engineering, pp. 428-431, 2017.
18. P. Mercorelli, "A two-stage sliding-mode high-gain observer to reduce uncertainties and disturbances effects for sensorless control in automotive applications," IEEE Transactions on Industrial Electronics, vol. 62, no. 9, pp. 5929-5940, 2015. [DOI:10.1109/TIE.2015.2450725]
19. L. Sun and Z. Zheng, "Disturbance-observer-based robust backstepping attitude stabilization of spacecraft under input saturation and measurement uncertainty," IEEE Transactions on Industrial Electronics, vol. 64, no. 10, pp. 7994-8002, 2017. [DOI:10.1109/TIE.2017.2694349]
20. X. Wang, H. Su, M. Z. Chen, and X. Wang, "Observer-based robust coordinated control of multiagent systems with input saturation," IEEE transactions on neural networks and learning systems, 2017. [DOI:10.1109/TNNLS.2017.2690322]
21. Y. Ma, X. Jia, and Q. Zhang, "Robust observer-based finite-time H∞ control for discrete-time singular Markovian jumping system with time delay and actuator saturation," Nonlinear Analysis: Hybrid Systems, vol. 28, pp. 1-22, 2018. [DOI:10.1016/j.nahs.2017.10.008]
22. H. F. Ghavidel, "Robust control of large-scale nonlinear systems by a hybrid adaptive fuzzy observer design with input saturation," Soft Computing, pp. 1-15, 2018.
23. C. Hu, R. Wang, and F. Yan "Integral sliding mode-based composite nonlinear feedback control for path following of four-wheel independently actuated autonomous vehicles," IEEE Transactions on Transportation Electrification, vol. 2, no. 2, pp. 221-230, 2016. [DOI:10.1109/TTE.2016.2537046]
24. C. Hu. R. Wang, and F. Yan, "Integral sliding mode-based composite nonlinear feedback control for path following of four-wheel independently actuated autonomous vehicles," IEEE Transactions on Transportation Electrification, vol. 2, no. 2, pp. 221-230, 2016. [DOI:10.1109/TTE.2016.2537046]
25. Z. Hou, and I. Fantoni, "Interactive leader-follower consensus of multiple quadrotors based on composite nonlinear feedback control," IEEE Transactions on Control Systems Technology, 2017. [DOI:10.1109/TCST.2017.2738602]
26. E. Jafari, and T. Binazadeh, "Modified composite nonlinear feedback for nonstep output tracking of multi-input multi-output linear discrete-time singular systems with actuator saturation" IEEE, 5th International Conference on Control, Instrumentation, and Automation, pp. 114-119, 2017. [DOI:10.1109/ICCIAutom.2017.8258663]
27. H. Ebrahimi, and A. H. Mazinan, "Adaptive composite nonlinear feedback-based sliding mode control for a class of nonlinear systems," Electronics Letters, 2018.
28. T. Lu, and W. Lan, "Composite nonlinear feedback control for strict-feedback nonlinear systems with input saturation," International Journal of Control, 1-8, 2018. [DOI:10.1080/00207179.2018.1430378]
29. H. Min, S. Xu, Q. Ma, B. Zhang, and Z. Zhang, "Composite-observer-based output-feedback control for nonlinear time-delay systems with input saturation and its application," IEEE Transactions on Industrial Electronics, vol. 65, no. 7, pp. 5856-5863, 2018. [DOI:10.1109/TIE.2017.2784347]
30. J. Lei and H.K. Khalil, "High-gain observers in the presence of sensor nonlinearities," IEEE, American Control Conference (ACC), pp. 3282-3287, 2017.
31. M.T. Hamayun, C. Edwards, and H. Alwi, "Design and analysis of an integral sliding mode fault tolerant control scheme," Fault Tolerant Control Schemes Using Integral Sliding Modes, pp. 39-61, 2016. [DOI:10.1007/978-3-319-32238-4_3]
32. S. Vaidyanathan, and A. Rhif, "A novel four-leaf chaotic system, its control and synchronisation via integral sliding mode control," International Journal of Modelling, Identification and Control, vol. 28, no. 1, pp.28-39, 2017. [DOI:10.1504/IJMIC.2017.085295]
33. B. Mu, K. Zhang, and Y. Shi, "Integral sliding mode flight controller design for a quadrotor and the application in a heterogeneous multi-agent system," IEEE Transactions on Industrial Electronics, vol. 64, no.12, pp.9389-9398, 2017 [DOI:10.1109/TIE.2017.2711575]
34. E. Fridman, Introduction to time-delay systems: Analysis and control. Springer, 2014. [DOI:10.1007/978-3-319-09393-2]
35. G. Cai, B. M. Chen, K. Peng, M. Dong, and T. H. Lee, "Modeling and control of the yaw channel of a UAV helicopter," Industrial Electronics, IEEE Transactions on, vol. 55, pp. 3426-3434, 2008. [DOI:10.1109/TIE.2008.926780]

Add your comments about this article : Your username or Email:
CAPTCHA

Send email to the article author


Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2024 CC BY-NC 4.0 | Journal of Control

Designed & Developed by : Yektaweb