Sliding Mode Control for Mismatched Uncertain Systems Using an Extended Disturbance Observer

This paper extends a recent result on sliding mode control for general n th order systems with mismatched uncertainties. In this paper, a control is proposed to handle a larger class of mismatched uncertainties by extending the disturbance observer and modifying and generalizing the sliding surface. The practical stability of the overall system is proved and the results are verified by simulation of an illustrative example.

[1]  Yu-Sheng Lu,et al.  Sliding-Mode Disturbance Observer With Switching-Gain Adaptation and Its Application to Optical Disk Drives , 2009, IEEE Transactions on Industrial Electronics.

[2]  Kyung-Soo Kim,et al.  Disturbance Observer for Estimating Higher Order Disturbances in Time Series Expansion , 2010, IEEE Transactions on Automatic Control.

[3]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[4]  Chin-Wang Tao,et al.  Adaptive fuzzy sliding mode controller for linear systems with mismatched time-varying uncertainties , 2003, IEEE Trans. Syst. Man Cybern. Part B.

[5]  Jun Yang,et al.  Generalized Extended State Observer Based Control for Systems With Mismatched Uncertainties , 2012, IEEE Transactions on Industrial Electronics.

[6]  Wen-Hua Chen,et al.  Nonlinear Disturbance Observer-Enhanced Dynamic Inversion Control of Missiles , 2003 .

[7]  B. Drazenovic,et al.  The invariance conditions in variable structure systems , 1969, Autom..

[8]  Yew-Wen Liang,et al.  Study of Reliable Control Via an Integral-Type Sliding Mode Control Scheme , 2012, IEEE Transactions on Industrial Electronics.

[9]  Yuanqing Xia,et al.  Robust Adaptive Sliding-Mode Control for Fuzzy Systems With Mismatched Uncertainties , 2010, IEEE Transactions on Fuzzy Systems.

[10]  Andrzej M. Trzynadlowski,et al.  Robust Nonlinear Predictive Controller for Permanent-Magnet Synchronous Motors With an Optimized Cost Function , 2012, IEEE Transactions on Industrial Electronics.

[11]  Meng Guo.  Remote vibration control for flexible beams subject to harmonic disturbances , 2005 .

[12]  Jun Yang,et al.  Nonlinear disturbance observer-based control for multi-input multi-output nonlinear systems subject to mismatching condition , 2012, Int. J. Control.

[13]  B. Draenovi.  The invariance conditions in variable structure systems , 1969 .

[14]  Jun Yang,et al.  Robust control of nonlinear MAGLEV suspension system with mismatched uncertainties via DOBC approach. , 2011, ISA transactions.

[15]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[16]  Han Ho Choi,et al.  LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems , 2007, IEEE Transactions on Automatic Control.

[17]  Chih-Chiang Cheng,et al.  Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability , 2008, J. Frankl. Inst..

[18]  Xinghuo Yu,et al.  Sliding-mode control for systems with mismatched uncertainties via a disturbance observer , 2011, IECON 2011 - 37th Annual Conference of the IEEE Industrial Electronics Society.

[19]  Dongkyoung Chwa,et al.  Compensation of actuator dynamics in nonlinear missile control , 2004, IEEE Transactions on Control Systems Technology.

[20]  Shihua Li,et al.  Speed Control for PMSM Servo System Using Predictive Functional Control and Extended State Observer , 2012, IEEE Transactions on Industrial Electronics.

[21]  Shihua Li,et al.  Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties , 2011 .

[22]  Xinghuo Yu,et al.  Sliding-Mode Control With Soft Computing: A Survey , 2009, IEEE Transactions on Industrial Electronics.

[23]  Dingli Yu,et al.  Compensation for unmatched uncertainty with adaptive RBF network , 2012 .

[24]  Chin-Wang Tao,et al.  Adaptive fuzzy terminal sliding mode controller for linear systems with mismatched time-varying uncertainties , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[25]  Kyung-Soo Kim,et al.  Designing robust sliding hyperplanes for parametric uncertain systems: a Riccati approach , 2000, Autom..