Robust Stabilization of the Distributed Parameter System With Time Delay via Fuzzy Control

2008 ◽  
Vol 16 (3) ◽  
pp. 567-584 ◽  
Author(s):  
Kun Yuan ◽  
Han-Xiong Li ◽  
Jinde Cao
2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Kun Yuan ◽  
Abdulaziz Alofi ◽  
Jinde Cao ◽  
Abdullah Al-Mazrooei ◽  
Ahmed Elaiw

By combining parabolic partial differential equation (PDE) theory with Lyapunov technique, the synchronization is studied for a class of coupled distributed parameter systems (DPS) described by PDEs. First, based on Kronecker product and Lyapunov functional, some easy-to-test sufficient condition is given to ensure the synchronization of coupled DPS with time delay. Secondly, in the case that the whole coupled system cannot synchronize by itself, the proportional-spatial derivative (P-sD) state feedback controller is designed and applied to force the network to synchronize. The sufficient condition on the existence of synchronization controller is given in terms of a set of linear matrix inequalities. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.


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