synchronization of the coupled distributed parameter system with time delay via proportional-spatial derivative control
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ID: 194618
2014
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Abstract
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.
| Reference Key |
yuan2014discretesynchronization
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|---|---|
| Authors | ;Kun Yuan;Abdulaziz Alofi;Jinde Cao;Abdullah Al-Mazrooei;Ahmed Elaiw |
| Journal | Journal of the American Heart Association |
| Year | 2014 |
| DOI |
10.1155/2014/418258
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| URL | |
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