Abstract
In this paper, a full-order sliding mode control based on extended state observer (FSMC+ ESO) is proposed for high-order nonlinear system with unknown system states and uncertainties. The extended state observer (ESO) is employed to estimate both the unknown system states and uncertainties so that the restriction that the system states should be completely measurable is relaxed, and a full-order sliding mode controller is designed based on the ESO estimation to overcome the chattering problem existing in ordinary reduced-order sliding mode control. Simulation results show that the proposed method facilitates the practical application with respect to good tracking performance and chattering elimination.
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Talole S E, Kolhe J P, and Phadke S B, Extended-state-observer-based control of flexible-joint system with experimental validation, IEEE Transactions on Industrial Electronics, 2010, 57(4): 1411–1419.
Liu L L, Li L, and Qian K X, Modeling and simulation of a fifth-order lumped parameter cardiovascular system, Chinese Journal of Biomedical Engineering, 2012, 31(1): 13–19.
Krempasky J J, Closed-form solution of seventh-order navigation system for unaided flyout, Journal of Guidance Control and Dynamics, 2000, 23(6): 1072–1076.
Gao S G, Dong H R, Ning B, et al., Neural adaptive control for uncertain nonlinear system with input saturation: State transformation based output feedback, Neurocomputing, 2015, 159(2): 117–125.
Ginoya D, Shendge P D, and Phadke S B, Disturbance observer based sliding mode control of nonlinear mismatched uncertain systems, Communications in Nonlinear Science and Numerical Simulation, 2015, 26(1–3): 98–107.
Cheng C, Hu Y, Wu J, et al., Auto disturbance rejection controller for non-affine nonlinear systems with adaptive observers, Control Theory and Applications, 2014, 31(2): 148–158.
Kapustyan V and Maksimov V, On attaining the prescribed quality of a controlled fourth order system, International Journal of Applied Mathematics and Computer Science, 2014, 24(1): 75–78.
Wu T S, Karkoub M, Chen C T, et al., Robust tracking design based on adaptive fuzzy control of uncertain nonlinear MIMO systems with time delayed states, International Journal of Control, Automation, and Systems, 2013, 11(6): 1300–1313.
Panchade V M, Chile R H, and Patre B M, A survey on sliding mode control strategies for induction motors, Annual Reviews in Control, 2013, 37(2): 289–307.
Wu Y J, Liu B T, Zhang W L, et al., Adaptive backstepping sliding mode controller for flight simulator based on RBFNN, International Journal of Modeling, Simulation, and Scientific Computing, 2013, 4(4): 1342007-1-14.
Choi Y S, Choi H H, and Jung J W, An adaptive sliding-mode control technique for three-phase UPS system with auto-tuning of switching gain, Electrical Engineering, 2014, 96(4): 373–383.
Lin F J, Hung Y C, and Ruan K C, An intelligent second-order sliding-mode control for an electric power steering system using a wavelet fuzzy neural network, IEEE Transactions on Fuzzy Systems, 2014, 22(6): 1598–1611.
He Z X, Liu C T, Zhan Y, et al., Nonsingular fast terminal sliding mode control with extended state observer and tracking differentiator for uncertain nonlinear systems, Mathematical Problems in Engineering, 2014, 2014: 639707-1-16.
Chen Q, Nan Y R, and Xing K X, Adaptive sliding-mode control of chaotic permanent magnet synchronous motor system based on extended state observer, Acta Physica Sinica, 2014, 63(22): 220506-1-8.
Xia C J, Wang X C, Li S H, et al., Improved integral sliding mode control methods for speed control of PMSM system, International Journal of Innovative Computing Information and Control, 2011, 7(4): 1971–1982.
Feng Y, Han F L, and Yu X H, Chattering-free full-order sliding-mode control, Automatica, 2014, 50(4): 1310–1314.
Han J Q, Active Disturbance Rejection Control Technique, National Defense Industry Press, Beijing, 2008, 197–201.
Huang Y and Xue W C, Active disturbance rejection control: Methodology and theoretical analysis, ISA Transaction, 2014, 53(4): 963–976.
Gao Z Q, On the centrality of disturbance rejection in automatic control, ISA Transaction, 2014, 53(4): 850–857.
Chen Q, Yu L, and Nan Y R, Finite-time tracking control for motor servo systems with unknown dead-zones, Journal of Systems Science and Complexity, 2013, 26(6): 940–956.
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This research was supported by the National Natural Science Foundation of China under Grant No. 61403343, and the China Postdoctoral Science Foundation funded project under Grant No. 2015M580521.
This paper was recommended for publication by Editor SUN Jian.
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Chen, Q., Tao, L. & Nan, Y. Full-order sliding mode control for high-order nonlinear system based on extended state observer. J Syst Sci Complex 29, 978–990 (2016). https://doi.org/10.1007/s11424-016-5141-1
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DOI: https://doi.org/10.1007/s11424-016-5141-1