LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems Integral sliding mode design is considered for a class of uncertain systems in the presence of mismatched uncertainties in both state and input matrices, as well as norm-bounded nonlinearities and external disturbances. A sufficient condition for the robust stability of the sliding manifold is derived by means of linear matrix inequalities. The initial existence of the sliding mode is guaranteed by the proposed control law. The improvement of the proposed control scheme performances, such as chattering elimination and estimation of norm bounds of uncertainties, is then considered with the application of an adaptive fuzzy integral sliding mode control law. The validity and efficiency of the proposed approaches are investigated through a sixth order uncertain mechanical system.

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Globally stable robust tracking of uncertain systems via fuzzy integral sliding mode control

Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393) ◽

10.1109/wcica.2000.862790 ◽

2002 ◽

Cited By ~ 5

Author(s):

Zhuang Kaiyu ◽

Su Hongye ◽

Chu Jian ◽

Zhang Keqin

Keyword(s):

Sliding Mode Control ◽

Uncertain Systems ◽

Sliding Mode ◽

Fuzzy Integral ◽

Robust Tracking ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control ◽

Globally Stable

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$$H_\infty $$ H ∞ tracking adaptive fuzzy integral sliding mode control for a train of self-balancing vehicles

International Journal of Dynamics and Control ◽

10.1007/s40435-018-0465-4 ◽

2018 ◽

Vol 7 (2) ◽

pp. 644-678

Author(s):

Mansour Karkoub ◽

Chien-Chih Weng ◽

Tzu-Sung Wu ◽

Wen-Shyong Yu ◽

Ming-Guo Her

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

Fuzzy Integral ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Adaptive Fuzzy ◽

Mode Control

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Quantized Feedback Control Design of Nonlinear Large-Scale Systems via Decentralized Adaptive Integral Sliding Mode Control

Mathematical Problems in Engineering ◽

10.1155/2015/718924 ◽

2015 ◽

Vol 2015 ◽

pp. 1-12 ◽

Cited By ~ 1

Author(s):

Yan-Mei Xue ◽

Bo-Chao Zheng ◽

Dan Ye

Keyword(s):

Sliding Mode Control ◽

Large Scale ◽

Sliding Mode ◽

Adaptive Sliding Mode Control ◽

Linear Matrix ◽

Control Law ◽

Large Scale Systems ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control

A novel decentralized adaptive integral sliding mode control law is proposed for a class of nonlinear uncertain large-scale systems subject to quantization mismatch between quantizer sensitivity parameters. Firstly, by applying linear matrix inequality techniques, integral-type sliding surface functions are derived for ensuring the stability of the whole sliding mode dynamics and obtaining the prescribed boundedL2gain performance. Secondly, the decentralized adaptive sliding mode control law is developed to ensure the reachability of the sliding manifolds in the presence of quantization mismatch, interconnected model uncertainties, and external disturbances. Finally, an example is shown to verify the validity of theoretical results.

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