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廣義互斥約束的Petri網(wǎng)死鎖避免監(jiān)控器設(shè)計(jì)
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國家自然科學(xué)基金資助項(xiàng)目(61473144)和南京航空航天大學(xué)專項(xiàng)資助項(xiàng)目(NS2010069)


Design of Supervisor of Petri Nets Based on Generalized Mutual Exclusion Constraints
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    摘要:

    研究了Petri網(wǎng)的柔性制造加工系統(tǒng)中的死鎖避免問題。為了保證死鎖避免和資源最大允許利用,提出了基于廣義互斥約束的Petri網(wǎng)最優(yōu)監(jiān)控器的設(shè)計(jì)方法,探尋以線性不等式的形式表示的初步約束集,通過可達(dá)性分析和初步約束集建立可達(dá)樹得出合法標(biāo)識(shí)集和死鎖標(biāo)識(shí)集,對(duì)分離出的標(biāo)識(shí)建立混合整數(shù)線性規(guī)劃模型,運(yùn)用分支定界法得到補(bǔ)充監(jiān)控庫所的廣義互斥約束模型作為最優(yōu)監(jiān)控器。最后,以某柔性制造系統(tǒng)為例,建立了Petri網(wǎng)模型,結(jié)合零件加工過程中資源的占用和釋放,對(duì)柔性制造系統(tǒng)進(jìn)行控制器設(shè)計(jì),設(shè)計(jì)的控制器擁有更嚴(yán)格的約束和更簡(jiǎn)化的模型,對(duì)死鎖標(biāo)識(shí)的避免是充分的,驗(yàn)證了該算法的有效性。

    Abstract:

    The deadlock avoidance policy of flexible manufacturing system (FMS) was investigated. In order to achieve deadlock avoidance policy and the most use of resource, the method of designing optimal supervisor based on generalized mutual exclusion constraints was presented, the preliminary constrains in the form of linear inequalities were explored, the legal marking set and boundary illegal marking set were gained by reachability analysis and the mixed integer linear programming was built to obtain generalized mutual exclusion constraints as the optimal supervisor by branch and bound method. The system model of FMS was built with Petri net. Based on the occupation and release of resource in the machining process, research was made on application in robot processing system. Both the proposed method and the ones in other literature were adopted to model the process and make comparisons of control performance. The result showed that the optimal supervisors generated from the algorithm could gain stricter constrains and more simplified model, and achieve deadlock avoidance policy that can forbid illegal markings with a maximally permissive way, which proved the effectiveness of the proposed method.

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劉久富,周建勇,劉文良,劉海陽,楊忠,王志勝.廣義互斥約束的Petri網(wǎng)死鎖避免監(jiān)控器設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2015,46(8):327-332. Liu Jiufu, Zhou Jianyong, Liu Wenliang, Liu Haiyang, Yang Zhong, Wang Zhisheng. Design of Supervisor of Petri Nets Based on Generalized Mutual Exclusion Constraints[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(8):327-332.

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  • 收稿日期:2014-10-09
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  • 在線發(fā)布日期: 2015-08-10
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