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Sliding mode control with disturbance observer for a class of nonlinear systems

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Abstract

This paper is concerned with the stabilization problem for a class of nonlinear systems with disturbance. The disturbance model is unknown and the first derivative of disturbance is bounded. Firstly, a general disturbance observer is proposed to estimate disturbance approximatively. Secondly, since the bound of the disturbance observer error is unknown, an adaptive sliding mode controller is designed to guarantee that the state of system asymptotically converges to zero and the unknown bound can be adjusted by an adaptive law. Finally, an example is given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Electric and Information Engineering, Henan University of Science and Technology, Luoyang, 471003, China

    Lei-Po Liu, Zhu-Mu Fu & Xiao-Na Song

Authors
  1. Lei-Po Liu
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  2. Zhu-Mu Fu
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  3. Xiao-Na Song
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Corresponding author

Correspondence to Lei-Po Liu.

Additional information

This work was supported by National Natural Science Foundation of China (Nos. 61074011 and 60904023).

Lei-Po Liu graduated from Henan Normal University, China in 2004. He received his M. Sc. degree from Henan Normal University in 2007 and Ph.D. degree in control theory and control engineering from Shanghai Jiao Tong University, China in 2011. He is currently an associate professor in Henan University of Science and Technology, China.

His research interests include sliding mode control, robust control and differential inclusion systems.

Zhu-Mu Fu received his Ph.D. degree in control theory and control engineering from Southeast University, China in 2007. Now, he is an associate professor in Henan University of Science and Technology, China. His interests include switch system and nonlinear control.

Xiao-Na Song received her Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, China in 2011. Now, she is an associate professor in Henan University of Science and Technology, China.

Her interests include fuzzy system and robust control.

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Liu, LP., Fu, ZM. & Song, XN. Sliding mode control with disturbance observer for a class of nonlinear systems. Int. J. Autom. Comput. 9, 487–491 (2012). https://doi.org/10.1007/s11633-012-0671-z

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  • DOI: https://doi.org/10.1007/s11633-012-0671-z

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