Partial synchronization of the distributed parameter system with time delay via fuzzy control

YUAN Kun; FEI Shumin; CAO Jinde

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Partial synchronization of the distributed parameter system with time delay via fuzzy control

YUAN Kun 1 #,FEI Shumin 2 *,CAO Jinde 3

1.School of Automation, Southeast University, Nanjing 210096

2.School of Automation, Southeast University, Nanjing 210096

3.Department of Mathematics, Southeast University, Nanjing 210096

*Correspondence author

#Submitted by

Subject:

Funding: 教育部博士点基金新教师基金（No.2009092120066）, 国家自然科学基金青年基金（No.61004043）

Opened online: 6 January 2013

Accepted by: none

Citation: YUAN Kun,FEI Shumin,CAO Jinde.Partial synchronization of the distributed parameter system with time delay via fuzzy control[OL]. [ 6 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4505494

In this paper, partial synchronization of thedistributed parameter system (DPS) with time delay is considered via the Galerkin's method and the fuzzy control. First, based on the Galerkin's method, the dynamics of master DPs and slave DPS can be described by low-order ordinary differential equations (ODE), respectively. Then the low-order functional ODEs is used as the basis for the design of the fuzzy controller to ensure the synchronization between the two low-order ODEs, moreover, when the slow system of masterDPS and the slow system of slave DPS is synchronized, the errorbetween master DPS and slave DPS is bounded. Some criteria are derived for stabilization and linear matrix inequality (LMI) design approach is developed. The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulation .

Keywords:Distributed parameter system; Partial synchronization; Galerkin's method; Fuzzy control; Linear matrix inequality.

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