Method for computer-assisted determination of an optimum-fuel control of nozzles
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.
1. A computer program product comprising a computer program stored on a computer readable medium, the computer program being executable for the computer-assisted determination of an optimum-fuel control of 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 satisfies the minimization criterion of
J
:=
∑
i
=
1
i
=
n
x
i
→
min
,
the computer program comprises:
a first program routine for defining a matrix transformation of starting constraints for a mass flow of the nozzles and the minimization criterion;
a second program routine for data processing a representation of a geometric description of the matrix transformation of the starting constraints;
a third program routine for the execution of a geometric search procedure in the vector space for the determination of limiting point sets of the geometric description of the starting constraints; and
a fourth program routine for the application of the matrix transformation minimization criterion to the points of the limiting point sets.
2. The computer program product according to claim 1 , wherein the computer program is stored in the form of electronically readable control signals.
3. The computer program product of claim 1 , wherein the computer readable medium comprises one of: magnetic tape, diskette, hard disk, CD-ROM, and semiconductor components.
4. The computer program of claim 3 , wherein the computer program is configured for executing a method for the computer-assisted determination of the optimum-fuel control of nozzles, wherein the method comprises controlling the nozzles.
5. A computer program product comprising a computer program stored on a computer readable medium, the computer program being executable for determining an optimum-fuel control of nozzles according to a control instruction based on a desired m-dimensional forces/torque vector, an m×n-dimensional nozzle matrix, and a sought n-dimensional nozzle control vector where the nozzle control vector satisfies a minimization criterion, the computer program comprises:
a first program routine for defining a matrix transformation of starting constraints for a mass flow of the nozzles and the minimization criterion;
a second program routine for data processing a representation of a geometric description of the matrix transformation of the starting constraints;
a third program routine for the execution of a geometric search procedure in the vector space for the determination of limiting point sets of the geometric description of the starting constraints; and
a fourth program routine for the application of the matrix transformation minimization criterion to the points of the limiting point sets.
6. The computer program product according to claim 5 wherein the control instruction is b=Ax, where:
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
J
:=
∑
i
=
1
i
=
n
x
i
→
min
.
7. The computer program product according to claim 5 , wherein the computer program is stored in the form of electronically readable control signals.
8. The computer program product of claim 5 , wherein the computer readable medium comprises one of: magnetic tape, diskette, hard disk, CD-ROM, and semiconductor components.
9. The computer program of claim 8 , wherein the computer program is configured for executing a method for the computer-assisted determination of the optimum-fuel control of nozzles, wherein the method comprises controlling the nozzles.
10. A computer program product comprising a computer program stored on a computer readable medium, the computer program being executable for the computer-assisted determination of an optimum-fuel control of nozzles according to a control instruction b=Ax, whereby
b represents a desired in-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 satisfies the minimization criterion of
J
:=
∑
i
=
1
i
=
n
x
i
→
min
,
wherein the computer program comprises:
a first program routine for computer-assisted execution of a defined matrix transformation of starting constraints for a mass flow of the nozzles and the minimization criterion;
a second program routine for computer-assisted execution of a data processing representation of a geometric description of the matrix transformation of the starting constraints;
a third program routine for computer-assisted execution of a geometric search procedure in the vector space for the determination of limiting point sets of the geometric description of the starting constraints; and
a fourth program routine for computer-assisted application of the matrix transformation minimization criterion to the points of the limiting point sets.
11. The computer program product of claim 10 , wherein the computer readable medium comprises one of: magnetic tape, diskette, hard disk, CD-ROM, and semiconductor components.