Method for computer-assisted determination of an optimum-fuel control of nozzles
원문보기
IPC분류정보
국가/구분
United States(US) Patent
등록
국제특허분류(IPC7판)
G05D-001/00
G05D-003/00
G06F-007/00
G06F-017/00
B64G-001/24
출원번호
UP-0801653
(2004-03-17)
등록번호
US-7599768
(2009-10-20)
우선권정보
DE-103 11 779(2003-03-18)
발명자
/ 주소
Zentgraf, Peter
출원인 / 주소
EADS Astrium GmbH
대리인 / 주소
Greenblum & Bernstein, P.L.C.
인용정보
피인용 횟수 :
0인용 특허 :
8
초록▼
Method for the computer-assisted determination of an optimum-fuel control of nozzles according to a control instruction b=Ax. A defined matrix transformation of starting constraints for the mass flow of the nozzles and of the minimization criterion thereby takes place in a computer-assisted manner,
Method for the computer-assisted determination of an optimum-fuel control of nozzles according to a control instruction b=Ax. A defined matrix transformation of starting constraints for the mass flow of the nozzles and of the minimization criterion thereby takes place in a computer-assisted manner, a data processing representation of a geometric description of the matrix-transformed starting constraints, a computer-assisted determination of limiting point sets of the geometric description of the starting constraints through a computer-assisted geometric search procedure in the vector space and the application of the matrix-transformed minimization criterion to the points of the limiting point sets.
대표청구항▼
The invention claimed is: 1. A method for controlling nozzles based upon computer-assisted determination of an optimum-fuel control of the nozzles according to a control instruction b=Ax, whereby b represents a desired m-dimensional forces/torque vector, A represents an m×n-dimensional nozzle matri
The invention claimed is: 1. A method for controlling nozzles based upon computer-assisted determination of an optimum-fuel control of the nozzles according to a control instruction b=Ax, whereby b represents a desired m-dimensional forces/torque vector, A represents an m×n-dimensional nozzle matrix, and x represents a sought n-dimensional nozzle control vector and the nozzle control vector meets a minimization criterion of the method comprising: computer generating a defined matrix transformation of starting constraints for a mass flow of the nozzles and of the minimization criterion; data processing a representation of a geometric description of the matrix transformation of starting constraints; searching, with a computer-assisted geometric search procedure in vector space, limiting point sets of the geometric description of the starting constraints; applying the matrix transformation of minimization criterion to the points of the limiting point sets; and controlling the nozzles. 2. The method according to claim 1, wherein the matrix transformation of the starting constraints for the mass flow of the nozzles includes a homogenous solution of the control instruction according to xho=Aor, whereby Ao: represents the n×(n-m) dimensional zero space matrix of A, and r: represents an (n-m) dimensional vector of any real numbers, the method further comprising: calculating, within a scope of a use of the matrix transformation of the minimization criterion, scalar products of a vector representation of points of the limiting point set and the vector and calculating an optimum-fuel solution with the aid of the vector r whose scalar product is minimal with the vector vd. 3. The method according to claim 1, further comprising: converting the matrix transformation of the starting constraints for the mass flow of the nozzles in a computer-assisted manner into allowable multi-dimensional value regions; forming, to determine the limiting point sets, at least one multi-dimensional cut set of individual allowable multi-dimensional value regions; and determining the limiting point sets as those point sets that limit the at least one cut set. 4. The method according to claim 3, further comprising: repeatedly projecting the allowable multi-dimensional value regions of the dimension p on a dimension p-1, until a projection of the allowable value regions on limiting intervals of a dimension p=1 has been achieved; and subsequently searching, with a computer-assisted search procedure, determination of limiting point sets as a cut set of limiting intervals. 5. A computer control method for controlling nozzles based upon an optimum-fuel usage for the nozzles based on a m-dimensional forces/torque vector, m×n-dimensional nozzle matrix, and a n-dimensional nozzle control vector that meets a minimization criterion, the method comprising: generating a defined matrix transformation of starting constraints for a mass flow of the nozzles and of the minimization criterion; data processing a representation of a geometric description of the matrix transformation of starting constraints; searching, with a geometric search procedure in vector space, limiting point sets of the geometric description of the starting constraints; applying the matrix transformation of minimization criterion to the points of the limiting point sets; and controlling the nozzles. 6. The method according to claim 5, wherein the control instruction is b=Ax, whereby b represents the desired m-dimensional forces/torque vector, A represents the m×n-dimensional nozzle matrix, and x represents the sought n-dimensional nozzle control vector and the nozzle control vector satisfies the minimization criterion of 7. The method according to claim 6, wherein the matrix transformation of the starting constraints for the mass flow of the nozzles includes a homogenous solution of the control instruction according to xho=Aor , whereby Ao: represents the n×(n-m) dimensional zero space matrix of A, and r: represents an (n-m) dimensional vector of real numbers, the method further comprising: calculating, within a scope of a use of the matrix transformation of the minimization criterion, scalar products of a vector representation of points of the limiting point set and the vector and calculating an optimum-fuel solution with the aid of the vector r whose scalar product is minimal with the vector vd. 8. The method according to claim 6, further comprising: converting the matrix transformation of the starting constraints for the mass flow of the nozzles into allowable multi-dimensional value regions; forming, to determine the limiting point sets, at least one multi-dimensional cut set of individual allowable multi-dimensional value regions; and determining the limiting point sets as those point sets that limit the at least one cut set. 9. The method according to claim 8, further comprising: repeatedly projecting the allowable multi-dimensional value regions of the dimension p on a dimension p-1, until a projection of the allowable value regions on limiting intervals of a dimension p=1 has been achieved; and subsequently searching a determination of limiting point sets as a cut set of limiting intervals.
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