دوره 15، شماره 2 - ( مجله کنترل، جلد 15، شماره 2، تابستان 1400 )
جلد 15 شماره 2,1400 صفحات 80-69 |
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Ranjbar B, Ranjbar Noiey A, Rezaie B. Design of Decentralized Adaptive Integral Terminal Sliding Mode Controller for Linear Interconnected Mechanical Systems in the Presence of External Disturbance. JoC 2021; 15 (2) :69-80
URL: http://joc.kntu.ac.ir/article-1-731-fa.html
URL: http://joc.kntu.ac.ir/article-1-731-fa.html
رنجبر بابک، رنجبر نوعی ابوالفضل، رضایی بهروز. طراحی کنترل کننده مدلغزشی ترمینال انتگرال تطبیقی غیرمتمرکز برای سیستم های مکانیکی متصل خطی درحضور اغتشاش خارجی. مجله کنترل. 1400; 15 (2) :69-80
بابک رنجبر* 
1، ابوالفضل رنجبر نوعی1 ، بهروز رضایی1
1، ابوالفضل رنجبر نوعی1 ، بهروز رضایی1
1- دانشکده مهندسی برق و کامپیوتر- دانشگاه صنعتی نوشیروانی بابل
چکیده: (17363 مشاهده)
در این مقاله یک کلاس از سیستم های مکانیکی متصل خطی دارای اغتشاش با اتصالات خطی ناشناخته بین زیرسیستم ها در نظر گرفته شده که برای ردیابی ورودی مرجع، تکنیک کنترل مدلغزشی ترمینال انتگرال تطبیقی غیرمتمرکز (DAITSMC) پیشنهاد شده است. برای کنترل غیرمتمرکز، سیستم متصل به چند زیرسیستم تقسیم شده و با انتخاب سطح لغزش ترمینال انتگرالی برای هر زیرسیستم، علاوه بر افزایش سرعت ردیابی ورودی مرجع در زمان محدود، اثر اغتشاش حذف می شود. اثر اتصالات خطی ناشناخته بین زیرسیستم ها بصورت نامعینی در نظر گرفته شده و بدلیل مشخص نبودن کران آن ها، توسط روابط تطبیقی تخمین زده می شوند. با کاندید شدن یک تابع لیاپانوف و انتخاب مناسب پارامترهای طراحی، پایداری سیستم حلقه بسته تضمین می شود. روش پیشنهادی بر روی دو سیستم مکانیکی متصل اعمال گشته؛ مقایسه نتایج شبیه سازی با چند روش کنترلی، نشان داده که روش پیشنهادی DAITSMC برای سیستم های متصل در حضور اغتشاش کارامد است و خطای همگرایی سریع تر صفر می شود.
واژه‌های کلیدی: سیستم متصل خطی، کنترل تطبیقی، کنترل مدلغزشی ترمینال غیرمتمرکز، تابع لیاپانوف، اتصالات خطی ناشناخته، اغتشاش خارجی.
نوع مطالعه: پژوهشي |
موضوع مقاله:
تخصصي
دریافت: 1398/11/9 | پذیرش: 1399/4/20 | انتشار الکترونیک پیش از انتشار نهایی: 1399/4/30
دریافت: 1398/11/9 | پذیرش: 1399/4/20 | انتشار الکترونیک پیش از انتشار نهایی: 1399/4/30
فهرست منابع
1. [1] X. Xiang, C. Yu, and Q. Zhang, "Robust fuzzy 3D path following for autonomous underwater vehicle subject to uncertainties," Computers & Operations Research, vol. 84, pp. 165-177, 2017. [DOI:10.1016/j.cor.2016.09.017]
2. [2] S. Yu, X. Yu, B. Shirinzadeh, and Z. Man, "Continuous finite-time control for robotic manipulators with terminal sliding mode," Automatica, vol. 41, no. 11, pp. 1957-1964, 2005. [DOI:10.1016/j.automatica.2005.07.001]
3. [3] Q. Hu and G. Ma, "Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver," Aerospace Science and Technology, vol. 9, no. 4, pp. 307-317, 2005. [DOI:10.1016/j.ast.2005.02.001]
4. [4] C. Zhang, Z. Chen, and C. Wei, "Sliding mode disturbance observer-based backstepping control for a transport aircraft," Science China Information Sciences, vol. 57, no. 5, pp. 1-16, 2014. [DOI:10.1007/s11432-013-4787-8]
5. [5] E.-H. Zheng, J.-J. Xiong, and J.-L. Luo, "Second order sliding mode control for a quadrotor UAV," ISA transactions, vol. 53, no. 4, pp. 1350-1356, 2014. [DOI:10.1016/j.isatra.2014.03.010]
6. [6] D. Ginoya, P. Shendge, and S. Phadke, "Sliding mode control for mismatched uncertain systems using an extended disturbance observer," IEEE Transactions on Industrial Electronics, vol. 61, no. 4, pp. 1983-1992, 2013. [DOI:10.1109/TIE.2013.2271597]
7. [7] S. Mondal and C. Mahanta, "Chattering free adaptive multivariable sliding mode controller for systems with matched and mismatched uncertainty," ISA transactions, vol. 52, no. 3, pp. 335-341, 2013. [DOI:10.1016/j.isatra.2012.12.007]
8. [8] J.-J. Yan and T.-L. Liao, "Discrete sliding mode control for hybrid synchronization of continuous Lorenz systems with matched/unmatched disturbances," Transactions of the Institute of Measurement and Control, vol. 40, no. 5, pp. 1417-1424, 2018. [DOI:10.1177/0142331216683773]
9. [9] J. A. González, A. Barreiro, S. Dormido, and A. Baños, "Nonlinear adaptive sliding mode control with fast non-overshooting responses and chattering avoidance," Journal of the Franklin Institute, vol. 354, no. 7, pp. 2788-2815, 2017. [DOI:10.1016/j.jfranklin.2017.01.025]
10. [10] X. Yu and O. Kaynak, "Sliding-mode control with soft computing: A survey," IEEE transactions on industrial electronics, vol. 56, no. 9, pp. 3275-3285, 2009. [DOI:10.1109/TIE.2009.2027531]
11. [11] I. M. Boiko, "Chattering in sliding mode control systems with boundary layer approximation of discontinuous control," International Journal of Systems Science, vol. 44, no. 6, pp. 1126-1133, 2013. [DOI:10.1080/00207721.2011.652233]
12. [12] G. Bartolini, A. Pisano, E. Punta, and E. Usai, "A survey of applications of second-order sliding mode control to mechanical systems," International Journal of control, vol. 76, no. 9-10, pp. 875-892, 2003. [DOI:10.1080/0020717031000099010]
13. [13] K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," IEEE transactions on control systems technology, vol. 7, no. 3, pp. 328-342, 1999. [DOI:10.1109/87.761053]
14. [14] Y. Feng, F. Han, and X. Yu, "Chattering free full-order sliding-mode control," Automatica, vol. 50, no. 4, pp. 1310-1314, 2014. [DOI:10.1016/j.automatica.2014.01.004]
15. [15] S. Mobayen, "Finite‐time stabilization of a class of chaotic systems with matched and unmatched uncertainties: An LMI approach," Complexity, vol. 21, no. 5, pp. 14-19, 2016. [DOI:10.1002/cplx.21624]
16. [16] S. Mobayen, D. Baleanu, and F. Tchier, "Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems," Journal of Vibration and Control, vol. 23, no. 18, pp. 2912-2925, 2017. [DOI:10.1177/1077546315623887]
17. [17] D. Zhao, S. Li, and F. Gao, "Finite time position synchronised control for parallel manipulators using fast terminal sliding mode," International Journal of Systems Science, vol. 40, no. 8, pp. 829-843, 2009. [DOI:10.1080/00207720902961022]
18. [18] S. Mobayen, "Finite-time robust-tracking and model-following controller for uncertain dynamical systems," Journal of Vibration and Control, vol. 22, no. 4, pp. 1117-1127, 2016. [DOI:10.1177/1077546314538991]
19. [19] A. Modirrousta and M. Khodabandeh, "Adaptive non-singular terminal sliding mode controller: new design for full control of the quadrotor with external disturbances," Transactions of the Institute of Measurement and Control, vol. 39, no. 3, pp. 371-383, 2017. [DOI:10.1177/0142331215611210]
20. [20] A. Al-Ghanimi, J. Zheng, and Z. Man, "A fast non-singular terminal sliding mode control based on perturbation estimation for piezoelectric actuators systems," International Journal of Control, vol. 90, no. 3, pp. 480-491, 2017. [DOI:10.1080/00207179.2016.1185157]
21. [21] H. Komurcugil, "Non-singular terminal sliding-mode control of DC-DC buck converters," Control Engineering Practice, vol. 21, no. 3, pp. 321-332, 2013. [DOI:10.1016/j.conengprac.2012.11.006]
22. [22] T. Madani, B. Daachi, and K. Djouani, "Non-singular terminal sliding mode controller: Application to an actuated exoskeleton," Mechatronics, vol. 33, pp. 136-145, 2016. [DOI:10.1016/j.mechatronics.2015.10.012]
23. [23] L. Peng, M. Jianjun, G. Lina, and Z. Zhiqiang, "Integral terminal sliding mode control for uncertain nonlinear systems," in 2015 34th Chinese Control Conference (CCC), 2015, pp. 824-828: IEEE. [DOI:10.1109/ChiCC.2015.7259740]
24. [24] S. Wen, M. Z. Chen, Z. Zeng, X. Yu, and T. Huang, "Fuzzy control for uncertain vehicle active suspension systems via dynamic sliding-mode approach," IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 47, no. 1, pp. 24-32, 2016. [DOI:10.1109/TSMC.2016.2564930]
25. [25] X. Lu, X. Zhang, G. Zhang, J. Fan, and S. Jia, "Neural network adaptive sliding mode control for omnidirectional vehicle with uncertainties," ISA transactions, vol. 86, pp. 201-214, 2019. [DOI:10.1016/j.isatra.2018.10.043]
26. [26] O. Mofid and S. Mobayen, "Adaptive sliding mode control for finite-time stability of quad-rotor UAVs with parametric uncertainties," ISA transactions, vol. 72, pp. 1-14, 2018. [DOI:10.1016/j.isatra.2017.11.010]
27. [27] J. Mohammadpour and K. M. Grigoriadis, Efficient modeling and control of large-scale systems. Springer Science & Business Media, 2010. [DOI:10.1007/978-1-4419-5757-3]
28. [28] H. Huerta, A. G. Loukianov, and J. M. Cañedo, "Decentralized sliding mode block control of multimachine power systems," International journal of electrical power & energy systems, vol. 32, no. 1, pp. 1-11, 2010. [DOI:10.1016/j.ijepes.2009.06.016]
29. [29] G. Rinaldi, P. P. Menon, C. Edwards, and A. Ferrara, "Design and Validation of a Distributed Observer-Based Estimation Scheme for Power Grids," IEEE Transactions on Control Systems Technology, 2018.
30. [30] X.-G. Yan, S. K. Spurgeon, and C. Edwards, "Decentralized output feedback sliding mode control of nonlinear large-scale systems with uncertainties," Journal of optimization theory and applications, vol. 119, no. 3, pp. 597-614, 2003. [DOI:10.1023/B:JOTA.0000006691.37149.0b]
31. [31] F. Dörfler, J. W. Simpson-Porco, and F. Bullo, "Breaking the hierarchy: Distributed control and economic optimality in microgrids," IEEE Transactions on Control of Network Systems, vol. 3, no. 3, pp. 241-253, 2015. [DOI:10.1109/TCNS.2015.2459391]
32. [32] D. Chen and D. E. Seborg, "Design of decentralized PI control systems based on Nyquist stability analysis," Journal of Process Control, vol. 13, no. 1, pp. 27-39, 2003. [DOI:10.1016/S0959-1524(02)00021-5]
33. [33] X. Du, Y. Xi, and S. Li, "Distributed model predictive control for large-scale systems," in Proceedings of the 2001 American Control Conference.(Cat. No. 01CH37148), 2001, vol. 4, pp. 3142-3143: IEEE.
34. [34] Y. Fan, W. Wang, X. Jiang, and Z. Li, "Decentralized fuzzy linguistic control of multiple robotic manipulators with guaranteed global stability," Interaction Studies, vol. 20, no. 1, pp. 185-204, 2019. [DOI:10.1075/is.18008.fan]
35. [35] H. Sun, L. Hou, G. Zong, and X. Yu, "Adaptive Decentralized Neural Network Tracking Control for Uncertain Interconnected Nonlinear Systems With Input Quantization and Time Delay," IEEE transactions on neural networks and learning systems, 2019. [DOI:10.1109/TNNLS.2019.2919697]
36. [36] C. Liu, B. Jiang, R. J. Patton, and K. Zhang, "Decentralized Output Sliding-Mode Fault-Tolerant Control for Heterogeneous Multiagent Systems," IEEE transactions on cybernetics, 2019. [DOI:10.1109/TCYB.2019.2912636]
37. [37] A. Sabanovic, "Variable structure systems with sliding modes in motion control-A survey," IEEE Transactions on Industrial Informatics, vol. 7, no. 2, pp. 212-223, 2011. [DOI:10.1109/TII.2011.2123907]
38. [38] X. Li, M. Z. Chen, and H. Su, "Finite-time consensus of second-order multi-agent systems via a structural approach," Journal of the Franklin Institute, vol. 353, no. 15, pp. 3876-3896, 2016. [DOI:10.1016/j.jfranklin.2016.07.010]
39. [39] S. P. Bhat and D. S. Bernstein, "Geometric homogeneity with applications to finite-time stability," Mathematics of Control, Signals and Systems, vol. 17, no. 2, pp. 101-127, 2005. [DOI:10.1007/s00498-005-0151-x]
40. [40] P. A. Ioannou and J. Sun, Robust adaptive control. Courier Corporation, 2012.
41. [41] G. Rinaldi, P. P. Menon, C. Edwards, and A. Ferrara, "Variable Gains Decentralized Super-Twisting Sliding Mode Controllers for Large-Scale Modular Systems," in 2019 18th European Control Conference (ECC), 2019, pp. 3577-3582: IEEE. [DOI:10.23919/ECC.2019.8795810]
42. [42] B. C. Gruenwald, E. Arabi, T. Yucelen, A. Chakravarthy, and D. McNeely, "A decentralized adaptive control architecture for large-scale active-passive modular systems," in 2017 American Control Conference (ACC), 2017, pp. 3347-3352: IEEE. [DOI:10.23919/ACC.2017.7963464]
43. [43] S. J. Yoo, J. B. Park, and Y. H. Choi, "Decentralized adaptive stabilization of interconnected nonlinear systems with unknown non-symmetric dead-zone inputs," Automatica, vol. 45, no. 2, pp. 436-443, 2009. [DOI:10.1016/j.automatica.2008.07.019]
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