Active vibration control in a nonlinear mechanical system using a flatness based sliding-mode control: experimental results

Author(s):  
J. Enriquez-Zarate ◽  
G. Silva-Navarro
10.5772/10144 ◽  
2010 ◽  
Author(s):  
Francisco Beltran-Carbajal ◽  
Francisco Beltran-Carbajal ◽  
Gerardo Silva-Navaro ◽  
Andres Blanco-Ortega ◽  
Esteban Chavez-Conde

2018 ◽  
Vol 41 (2) ◽  
pp. 433-446 ◽  
Author(s):  
Satyam Paul ◽  
Wen Yu ◽  
Xiaoou Li

In terms of vibrations along bidirectional earthquake forces, several problems are faced when modelling and controlling the structure of a building, such as lateral-torsional vibration, uncertainties surrounding the rigidity and the difficulty of estimating damping forces. In this paper, we use a fuzzy logic model to identify and compensate the uncertainty which does not require an exact model of the building structure. To attenuate bidirectional vibration, a novel discrete-time sliding mode control is proposed. This sliding mode control has time-varying gain and is combined with fuzzy sliding mode control in order to reduce the chattering of the sliding mode control. We prove that the closed-loop system is uniformly stable using Lyapunov stability analysis. We compare our fuzzy sliding mode control with the traditional controllers: proportional–integral–derivative and sliding mode control. Experimental results show significant vibration attenuation with our fuzzy sliding mode control and horizontal-torsional actuators. The proposed control system is the most efficient at mitigating bidirectional and torsional vibrations.


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