scholarly journals Active adaptive fuzzy integral sliding mode control for unified chaotic system with uncertainties and disturbance

2012 ◽  
Vol 61 (22) ◽  
pp. 220504
Author(s):  
Lu Yong-Kun
Keyword(s):  
Sliding Mode Control ◽  
Chaotic System ◽  
Sliding Mode ◽  
Fuzzy Integral ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Adaptive Fuzzy ◽  
Mode Control ◽  
Unified Chaotic System

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

2011 ◽  
Vol 21 (4) ◽  
pp. 605-615 ◽  
Author(s):  
Chaouki Mnasri ◽  
Moncef Gasmi
Keyword(s):  
Sliding Mode Control ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Linear Matrix ◽  
Control Law ◽  
Fuzzy Integral ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Adaptive Fuzzy ◽  
Mode Control

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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