Robust control method for flexible assembly system containing single unreliable resource

A flexible assembly and robust control technology, applied in the direction of adaptive control, comprehensive factory control, general control system, etc., can solve problems such as ineffectiveness and unattainable control objectives, and achieve high permissibility.

Pending Publication Date: 2022-07-12
西北工业大学太仓长三角研究院 +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] 1) Due to the complexity of the robust control of flexible assembly systems with unreliable resources, only a few scholars in literature 2 have studied this problem, and the control objectives in literature 2 are unreliable in flexible assembly systems with unreliable resources. Achievable, so there is no result yet

Method used

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  • Robust control method for flexible assembly system containing single unreliable resource
  • Robust control method for flexible assembly system containing single unreliable resource
  • Robust control method for flexible assembly system containing single unreliable resource

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example 3

[0279] Example 3: Consider automatic manufacturing system S, suppose R={r 1 ,r 2 ,…,r 6 },P={P 1 ,P 2 ,…,P 4 },l 1 =l 2 =l 3 =l 4 =3. P 1 The operation is P 11 ,P 12 ,P 13 , P 2 The operation is P 21 ,P 22 (P 12 ), P 23 (P 13 ), P 3 The operation is P 31 , P 32 ,P 33 (P 13 ), P 4 The operation is P 41 ,P 42 (P 32 ), P 43 (P 13 ). ρ(P 11 )=r 1 ,ρ(P 12 )=r 3 ,ρ(P 13 )=r 6 ,ρ(P 21 ) = r 2 ,ρ(P 31 )=r 2 ,ρ(P 32 )=r 5 ,ρ(P 41 )=r 4 .ψ 1 =ψ 2 =ψ 3 =ψ 4 =ψ 5 =ψ 6 =4. Suppose r 6 is an unreliable resource. An overview of the system is shown in image 3 . P a ={P 12 ,P 32 ,P 13 }. P a (P 1e )=θ(P 1e )∩P a ={P 11 ,P 12 ,P 13 }∩P a ={P 12 ,P 13 }. because P 12 ∈P a1 (P 1e ). Because θ(P 13 )∩P a ={P 11 ,P 12 }∩{P 12 ,P 32 ,P 13 }=P 12 , Therefore, P a1 (P 1e )={P 12 }. because, P a2 (P 1e )={P 13 }. because So P 32 ∈P a1 (P 3e ). because So P a1 (P 3e )={P 32 }. Similarly, we c...

example 4

[0281] Example 4: Consider image 3 Automatic manufacturing system in . Suppose the current state of the system is q=1+x 11 +x 12 +x 31 , D 1 ={P 11 ,P 12 ,P 31 },D 2 ={1,1,1},D 3 ={P 13 ,P 13 ,P 13 }. Initially, Φ[1]=Φ[2]=Φ[3]=Φ[4]=0;

[0282] given P 12 ∈P a1 ,Π(P 12 )={P 11 ,P 21 },D 1 [1]=P 11 ∈Π(P 12 ), let z=max{q(x 11 )+q(y 11 ), q(x 21 )+q(y 21 )}=1. Then, Φ[1]=0+1-1=0, Φ[2]=0+1-0=1. set q(x 21 )=1, get q=1+x 11 +x 12 +x 21 +x 31 . Assembly at stage P 11 and P 21 the workpiece 1 time, get q=1+2x 12 +x 31 . Since there is no artifact at stage P 32 , so the assembly is obtained at stage P 12 The workpiece on cannot be moved to P 13 superior. because P 12 ∈γ 12 and P 12 ∈Π a , the assembly obtained at stage P 12 The workpiece on it has not been moved temporarily. Let D 1 [1]=P 12 ;

[0283] given P 32 ∈P a1 ,Π(P 32 )={P 31 ,P 41 },D 1 [3]=P 31 ∈Π(P 32 )}, let z=max{q(x 31 )+q(y 31 ),q(x 41 )+q(y 41 )}=1. ...

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Abstract

The invention discloses a robust control method for a flexible assembly system containing a single unreliable resource, and the method comprises the steps: 1, building an automaton model of the system, so as to represent a researched system; secondly, on the basis of the established model, four characteristics which need to be met by a robust control strategy are provided; thirdly, based on an improved banker algorithm, a robust control strategy capable of meeting the four proposed characteristics is proposed. The method is the only robust control strategy capable of meeting the four characteristics. The deadlock avoiding strategy provided by the invention has polynomial time complexity, so that the deadlock avoiding strategy can be widely applied to a large-scale flexible manufacturing system.

Description

technical field [0001] The invention belongs to the technical field of flexible assembly, and in particular relates to a robust control method of a flexible assembly system. Background technique [0002] Assembly operations assemble multiple workpieces into a single product and are one of the most important operations in a flexible manufacturing system. In a flexible manufacturing system with assembly operations (hereinafter referred to as a flexible assembly system), deadlocks may not only be caused by shared resources and interactive workpieces, but also by the mutual waiting of the workpieces for assembly operations. Once deadlock occurs, the system will come to a standstill, unable to complete the processing tasks, resulting in economic losses and serious consequences. Recently, the deadlock control problem of manufacturing assembly systems has received extensive attention from researchers. Document 1 (J.C.Luo, Z.Q.Liu and M.C. Zhou, A Petri Net-based deadlock avoidanc...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042Y02P90/02
Inventor 罗建超
Owner 西北工业大学太仓长三角研究院
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