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Azam Baleghi, N., Shafiei, M.H.. (1396). Design of a Discrete-time Sliding Mode Controller for Nonlinear Affine Systems based on Disturbance Estimation. فناوری آموزش, 6(1), 87-96. doi: 10.22061/jecei.2018.1083
N. Azam Baleghi; M.H. Shafiei. "Design of a Discrete-time Sliding Mode Controller for Nonlinear Affine Systems based on Disturbance Estimation". فناوری آموزش, 6, 1, 1396, 87-96. doi: 10.22061/jecei.2018.1083
Azam Baleghi, N., Shafiei, M.H.. (1396). 'Design of a Discrete-time Sliding Mode Controller for Nonlinear Affine Systems based on Disturbance Estimation', فناوری آموزش, 6(1), pp. 87-96. doi: 10.22061/jecei.2018.1083
Azam Baleghi, N., Shafiei, M.H.. Design of a Discrete-time Sliding Mode Controller for Nonlinear Affine Systems based on Disturbance Estimation. فناوری آموزش, 1396; 6(1): 87-96. doi: 10.22061/jecei.2018.1083

Design of a Discrete-time Sliding Mode Controller for Nonlinear Affine Systems based on Disturbance Estimation

Journal of Electrical and Computer Engineering Innovations (JECEI)
مقاله 11، دوره 6، شماره 1، فروردین 2018، صفحه 87-96    اصل مقاله (1.1 M)
نوع مقاله: Original Research Paper
شناسه دیجیتال (DOI): 10.22061/jecei.2018.1083
نویسندگان
N. Azam Baleghi؛ M.H. Shafiei
Shiraz University of Technology, Shiraz, Iran
تاریخ دریافت: 30 بهمن 1395،  تاریخ بازنگری: 21 خرداد 1396،  تاریخ پذیرش: 25 شهریور 1396 
چکیده
Background and Objectives: Nowadays, because of accuracy, speed, cost, and flexibility of digital control laws, control systems are implemented by computers, microprocessors or DSP chips. Therefore, many investigators have recently focused on the design of discrete-time controllers and computer-based control.
Methods: In this paper, a sliding mode controller based on the disturbance estimation is designed for a class of discrete-time nonlinear affine systems. Based on two disturbance compensator schemes, static and dynamic, procedures of sliding mode controller design are proposed for the discretetime system.
Results: In the case of measurable state variables, the instantaneous value of disturbances can be estimated based on the value of states and control signals. In two proposed control laws, there is no switching expression to induce the problem of chattering. Moreover, based on the necessary and sufficient quasi-sliding mode condition proposed by Sarpturk, boundedness and robustness of the proposed controllers is evaluated. In the case of constant or slowly time-varying disturbances, the quasi-sliding mode band converges asymptotically to zero and in this case, the proposed method is converted to the ideal sliding mode. Finally, two examples are provided to verify the proposed control laws and to compare the performance of the proposed controllers.
Conclusion: In this paper, a sliding mode controller based on the disturbance estimator was designed for a discrete-time nonlinear affine system. Due to the effectiveness of disturbance estimators in the performance of controllers, two kinds of disturbance estimators were considered. 


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Copyrights
©2018 The author(s). This is an open access article distributed under the terms of the Creative Commons Attribution (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, as long as the original authors and source are cited. No permission is required from the authors or the publishers.
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کلیدواژه‌ها
Discrete-time؛ Nonlinear affine systems؛ Quasi-sliding mode؛ Disturbance estimation
مراجع

[1] R. Isermann, Digital Control Systems, Springer Science & Business Media, 2013.

[2] K. Abidi, J. X. Xu, Advanced Discrete-Time Control: Designs and Applications, Springer, 2015.

[3] B. Wang, X. Yu, and G., Chen, “ZOH discretization effect on single-input sliding mode control systems with matched uncertainties,” Automatica, 45: 118–125, 2009.

[4] A. V. Bakakin, V. A. Taran, “Digital equipments used in control systems of variable structure,” in Proc. of Automatic Control and Components of Computers: 30–39, 1967.

[5] B. Castillo-Toledo, S. Di Gennaro, A. G. Loukianov, J. Rivera, “Discrete time sliding mode control with application to induction motors,” Automatica, 44(12): 3036-3045, 2008.

[6] V. M. Panchade, R. H. Chile, B. M. Patre, “A survey on sliding mode control strategies for induction motors,” Annual Reviews in Control, 37(2): 289-307, 2013.

[7] Y. Eun, J. H. Kim, K. Kim, D. I. Cho, “Discrete-time variable structure controller with a decoupled disturbance compensator and its application to a CNC servomechanism,” IEEE Transactions on Control Systems Technology, 7(4): 414-423, 1999.

[8] Q. Xu, “Enhanced discrete-time sliding mode strategy with application to piezoelectric actuator control,” IET Control Theory and Applications, 7(18): 2153-2163, 2013.

[9] R. K. Munje, B. M. Patre, A. P. Tiwari, “Discrete-Time sliding mode spatial control of advanced heavy water reactor,” IEEE Transactions on Control Systems Technology, 24(1. pp. 357-364, 2015.

[10] P. N. Mali, N. G. Kulkarni, “Discrete-Time Sliding mode control for wheeled mobile robot trajectory-tracking,” Journal of Electrical and Electronics Engineering, 10(3): 88-94, 2015.

[11] E. Vidal-Idiarte, A. Marcos-Pastor, G. Garcia, A. Cid-Pastor, L. Martinez-Salamero, “Discrete-time sliding-mode-based digital pulse width modulation control of a boost converter,” IET Power Electronics, 8(5): 708-714, 2015.

[12] T. Qian, S. Miao, “Discrete-Time nonlinear control of VSC-HVDC system,” Mathematical Problems in Engineering, 25: 1-11, 2015.

[13] A. Chihi, A. Sellami, “Nonlinear discrete-time sliding mode control applied to pumping system,” In Advances and Applications in Nonlinear Control Systems, 635: 595-609, 2016.

[14] M. R. Amini, M. Razmara, M. Shahbakhti, “Robust model-based discrete sliding mode control of an automotive electronic throttle body,” SAE International Journal of Commercial Vehicles, 10: 317-330, 2017.

[15] J. Ghabi, H. Dhouibi, “Discrete-time sliding mode controller using a disturbance compensator for nonlinear uncertain systems,” International Journal of Control, Automation, and Systems, 16(3): 1156-1164, 2018.

[16] A. Bartoszewicz, P. Latosiński, “Discrete-time sliding mode control with reduced switching–a new reaching law approach,” International Journal of Robust and Nonlinear Control, 26(16): 47-68, 2016.

[17] B. Rahmani, “Robust output feedback sliding mode control for uncertain discrete-time systems,” Nonlinear Analysis: Hybrid Systems, 24: 83-99, 2017.

[18] L. Ma, D. Zhao, S. Zhang, J. Feng, L. Cao, “Discrete-time sliding mode control for a class of nonlinear process,” IMA Journal of Mathematical Control and Information, 2019.

[19] W. Gao, Y. Wang, A. Homaifa, “Discrete-time variable structure control systems,” IEEE Transactions on Industrial Electronics, 42(2): 117–122, 1995.

[20] P. Lesniewski, A. Bartoszewicz, “A new class of non-linear reaching laws for sliding mode control of discrete-time systems,” In Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics, Springer International Publishing: 99-128, 2015.

[21] S. Chakrabarty, B. Bandyopadhyay, “A generalized reaching law for discrete-time sliding mode control,” Automatica, 52: 83-86, 2015.

[22] H. Ma, J. Wu, Z. Xiong, “A novel exponential reaching law of discrete-time sliding-mode control,” IEEE Transactions on Industrial Electronics, 64(5): 3840-3850, 2017.

[23] J. Zhang, P. Shi, Y. Xia, H. Yang, “Discrete-time sliding mode control with disturbance rejection,” IEEE Transactions on Industrial Electronics, 66(10): 7967-7975, 2018.

[24] I. Bsili, J. Ghabi, H. Messaoud, “Discrete-time quasi-sliding mode control of nonlinear uncertain systems,” International Journal of Modelling, Identification, and Control, 29(2): 100-108, 2018.

[25] H. Ma, Y. Li, “Multi-power reaching law based discrete-time sliding-mode control,” IEEE Access, 7: 49822-49829, 2019.

[26] A. Bartoszewicz, “Discrete-time quasi-sliding-mode control strategies,” IEEE Transactions on Industrial Electronics, 45(4): 633–637, 1998.

[27] S. Z. Sarpturk, Y. Istefanopulos, O. Kaynak, “On the stability of discrete-time sliding mode control systems,” IEEE Transactions on Automatic Control, 32(10): 930-932, 1987.

[28] K. Furuta, “Sliding mode control of a discrete system,” System & Control Letters, 14: 145–142, 1990.

[29] S. K. Spurgeon, “Hyperplane design techniques for discrete-time variable structure control Systems,” International Journal of Control, 55(2): 445-456, 1992.

[30] Č. Milosavljević, Discrete-time VSS Variable structure systems: from principles to implementation, IEE Press, Stevenage, UK: 99-127.

[31] S. Li, J. Yang, W. H. Chen, X. Chen, Disturbance Observer-Based Control: Methods and Applications, CRC Press, 2014.

[32] W. H. Chen, “Disturbance observer-based control for nonlinear systems,” IEEE/ASME Transactions on Mechatronics, 9(4): 706–710, 2004.

[33] L. Guo, W. H. Chen, “Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach,” International Journal of Robust and Nonlinear Control, 15(3): 109–125, 2005.

[34] H. B. Sun, S. H. Li, S. M. Fei, “A composite control scheme for 6DOF spacecraft formation control,” Acta Astronautica, 69(7-8): 595–611, 2011.

[35] J. Yang, A. Zolotas, W. H. Chen, K. Michail, S. H. Li, “Robust control of nonlinear MAGLEV suspension system with mismatched uncertainties via DOBC approach,” ISA Transactions, 50(3): 389–396, 2011.

[36] C. Kempf, S. Kobayashi “Disturbance observer and feed forward design for a high-speed direct drive positioning table,” IEEE Transactions on Control System Technology,” 7: 513–526, 1999.

[37] X. Liu, X. Wei, “Composite disturbance-observer-based control and discrete-time sliding mode control for a class of MIMO systems with nonlinearity,” in Proc. The 48th IEEE Conference on Decision and Control: 2783-2788, 2009.

[38] X. Wei, N. Chen, C. Deng, X. Liu, M. Tang, “Composite stratified anti‐disturbance control for a class of MIMO discrete‐time systems with nonlinearity,” International Journal of Robust and Nonlinear Control, 22(4): 453-472, 2012.

[39] J. L. Chang, “Discrete-time sliding mode controller design with state estimator and disturbance observer,” Electrical Engineering, 89(5): 397-404, 2007.

[40] S. V. Drakunov, V. I. Utkin, “On discrete-time sliding mode,” in Proc. IFAC Symp. Nonlinear Control Syst. Design): 484–489, 1989.

[41] W.C. Su, S. V. DRAKUNOV, Ü. ÖZGÜNER, “An O(T2) boundary layer in sliding mode for sampled-data systems,” IEEE Transactions on Automatic Control, 45(3): 482–485, 2000.

[42] K. Kyung-Soo, K. H. Rew. “Reduced order disturbance observer for discrete-time linear systems,” Automatica, 49(4): 968-975, 2013.

[43] S. D. Xu, Y. W. Liang, S. W. Chiou, “Discrete-time quasi-sliding-mode control for a class of nonlinear control systems,” Electronics Letters, 44(17): 1008-1010, 2008.

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