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Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. (English) Zbl 1185.93039

Summary: A Sliding Mode Control (SMC) scheme is proposed for a class of nonlinear systems based on disturbance observers. For a nonlinear system, the disturbance that cannot be directly measured is estimated using a nonlinear disturbance observer. By choosing an appropriate nonlinear gain function, the disturbance observer can well approximate the unknown disturbance. Based on the output of the disturbance observer, an SMC scheme is presented for the nonlinear system, and the stability of the closed-loop system is established using Lyapunov method. Finally, two simulation examples are presented to illustrate the features and the effectiveness of the proposed disturbance-observer-based SMC scheme.

MSC:

93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
93C41 Control/observation systems with incomplete information
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[1] Kanellakopoulos, Adaptive output-feedback control of system with output nonlinearities, IEEE Transactions on Automatic Control 37 (11) pp 1666– (1992) · Zbl 0778.93064
[2] Fu, Robust H control of uncertain nonlinear systems, Automatica 42 (9) pp 1547– (2006)
[3] Fu, Nonlinear multivariable adaptive control using multiple models and neural networks, Automatica 43 (6) pp 1101– (2007) · Zbl 1282.93145
[4] Ge, Direct adaptive control for a class of MIMO nonlinear systems using neural networks, IEEE Transactions on Automatic Control 49 (11) pp 2001– (2004) · Zbl 1365.93262
[5] Sun, Adaptive state-feedback stabilization for a class of high-order nonlinear uncertain systems, Automatica 43 (10) pp 1772– (2007) · Zbl 1119.93061
[6] Li, Robust and adaptive backstepping control for nonlinear systems using RBF neural networks, IEEE Transactions on Neural Networks 15 (3) pp 693– (2004)
[7] Travieso-Torres, Passivity-based control for stabilization, regulation and tracking purposes of a class of nonlinear systems, International Journal of Adaptive Control and Signal Processing 21 (7) pp 582– (2007) · Zbl 1127.93356
[8] Niu, Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity, IEE Proceedings-Control Theory and Applications 153 (6) pp 737– (2006)
[9] Hirschorn, Generalized sliding-mode control for multi-input nonlinear systems, IEEE Transactions on Automatic Control 51 (9) pp 1410– (2006) · Zbl 1366.93098
[10] Huang, Output-sliding control for a class of nonlinear systems, ISA Transactions 40 (2) pp 123– (2001)
[11] Lu, Robust sliding mode control of uncertain nonlinear systems, Systems and Control Letters 45 (2) pp 75– (1997) · Zbl 0895.93009
[12] Oliveira, Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes, International Journal of Adaptive Control and Signal Processing 21 (8) pp 692– (2007) · Zbl 1128.93022
[13] Chen, Robust adaptive sliding-mode control using fuzzy modeling for an inverted-pendulum System, IEEE Transactions on Industrial Electronics 45 (2) pp 297– (1998)
[14] Khan, Robust MIMO water level control in interconnected twin-tanks using second order sliding mode control, Control Engineering Practice 14 (4) pp 375– (2006)
[15] Lin, Robust adaptive sliding mode control using fuzzy modelling for a class of uncertain MIMO nonlinear systems, IEE Proceedings-Control Theory and Applications 149 (3) pp 193– (2002)
[16] Chang, Robust adaptive single neural control for a class of uncertain nonlinear systems with input nonlinearity, Information Sciences 171 (3) pp 261– (2005) · Zbl 1068.93029
[17] Kim, A discrete-time fuzzy disturbance observer and its application to control, IEEE Transactions on Fuzzy Systems 11 (3) pp 399– (2003)
[18] Kim, A fuzzy disturbance observer and its application to control, IEEE Transactions on Fuzzy Systems 10 (1) pp 77– (2002)
[19] Chen, Disturbance observer based control for nonlinear systems, IEEE Transactions on Mechatronics 9 (4) pp 706– (2004)
[20] Chen, Nonlinear PID predictive controller, IEE Proceedings-Control Theory and Applications 146 (6) pp 603– (1999)
[21] Chen, A nonlinear disturbance observer for multivariable systems and its application to magnetic bearing systems, IEEE Transactions on Control Systems Technology 12 (4) pp 569– (2004)
[22] Chen, Nonlinear disturbance observer-enhanced dynamical inversion control of missiles, Journal of Guidance, Control, and Dynamics 26 (1) pp 161– (2003)
[23] Chen, A nonlinear disturbance observer for robotic manipulators, IEEE Transactions on Industrial Electronics 47 (4) pp 932– (2000)
[24] Kuo, Sliding mode control with self-tuning law for uncertain nonlinear systems, ISA Transactions 47 (2) pp 171– (2008)
[25] Yang, Adaptive H tracking control for a class of uncertain nonlinear systems using radial-basis-function neural networks, Neurocomputing 70 (5) pp 932– (2007)
[26] Chen WH, Guo L. Analysis of disturbance observer based control for nonlinear systems under disturbances with bounded variation. Proceedings of International Conference on Control, Bath, U.K., 2004.
[27] Riccardo, Global adaptive output-feedback control of nonlinear systems, part I: linear parameterization, IEEE Transactions on Automatic Control 38 (1) pp 17– (1993) · Zbl 0783.93032
[28] Yan, Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters, Journal of Sound and Vibration 298 (2) pp 298– (2006) · Zbl 1243.93097
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