US 7,096,075 B2Granted

Apparatus, method and program for physical state controller

AssigneeInternational Business Machines Corporation

InventorsKunikazu Yoda, Hiroyuki Okano

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Abstract

For determination as to whether there is a possibility that temperature control satisfying conditions according to an upper limit LH_i and a lower limit LL_i of the annealing control temperatures of annealing object steel sections i will be realized under restrictions on limit values U and D of the control temperature increase and decrease rates, computation is performed without using dynamic programming requiring an enormous amount of data on a continuous annealing line of a steelwork. Annealing object steel sections in an annealing object steel band 12 to be computed are assigned numbers 1, 2, . . . , n in order from the first time division in the direction of movement. T_i is a time required to pass the annealing object steel section i through a predetermined point at which the steel section undergoes temperature control. LH_1=LL_1=b is given. X_i=[IL_i−D*T_i, IH_i+U*T_i] is computed. When X_L_i1f, Y_i=X_iL_i. When X_i L_i=f, Y_i=X_i. Y—i is computed from i=1 to i=n in ascending order.

Claims32

Dependent claims

A physical state control purpose information computation apparatus which computes information used by a physical state controller,

a control time period of a finite length being divided into a plurality of consecutive time divisions, the physical state controller controlling a physical state of a control-processing-object material,
a limited physical state range relating to the physical state of the control-processing-object material being set in each time division,
the physical state controller changing the physical state of the control-processing-object material at a rate within the corresponding limit control rate range and simultaneously controlling the physical state of the control-processing-object material so that the physical state of the control-processing-object material is within the limited physical state range in the time division, said apparatus comprising:
time-division-basis reachable physical state range computation means of computing a reachable physical state range reachable by the time the given time division ends on the basis of the physical state control range at the beginning of the given time division and the limit control rates of the physical state controller;
time-division-basis physical state control range computation means of computing a physical state control range at the beginning of the time division next to the given time division on the basis of the reachable physical state range at the end of the given time division and the limited physical state range in the next time division;
and
overall physical state control range computation means of designating the time divisions in order from the first time division to the last time division in the control time period and making each of said time-division-basis reachable physical state range computation means and said time-division-basis physical state control range computation means repeat executing its processing to obtain physical state control ranges at the beginnings of all the time divisions.

4 more elements

A physical state control purpose information computation apparatus which computes information used by a physical state controller,

a control time period of a finite length being divided into a plurality of consecutive time divisions, the physical state controller controlling a physical state of a control-processing-object material on the basis of conditions relating to the physical state of the control-processing-object material in each of the time divisions through the entire control time period,
the following definitions being given (information about n, b, e, LL_i, LH_i, D, and U being given, each index on the right-hand side of “_” representing a number):
(a1) n:
the total number of time divisions constituting the control time period
(a2) i:
the number of each time division in the control time period when the time divisions are successively assigned numbers 1, 2, . . . , n in order from the first time division in time series
(a3) b:
the value of the physical state of the control-processing-object material at the beginning of the number-1 time division
(a4) e:
the value of the physical state of the control-processing-object material at the end of the number-n time division
(a5) LL_i:
a lower limit value of the physical state of the control-processing-object material in the number-i time division
(a6) LH_i:
an upper limit value of the physical state of the control-processing-object material in the number-i time division
(a7) L_i=[LL_i, LH_i], L_(n+1)=[LL_n, LH_n]
(a8) D:
a limit heightening rate when the physical state of the control-processing-object material is heightened
(a9) U:
a limit lowering rate when the physical state of the control-processing-object material is lowered
(a10) *:
a multiplication operator
(a11) T_i:
the length of the number-i time division
(a12) IL_i:
a lower limit of the physical state of the control-processing-object material reachable by the time the number-i time division begins
(a13) IH_i:
an upper limit of the physical state of the control-processing-object material reachable by the time the number-i time division begins
(a14) I_i=[IL_i, IH_i], I—1=[b, b]=b
(a15) X_i=[IL_i−D*T_i, IH_i+U*T_i]
(a16) Y_i=X_iL_i when X_iL_i1f
(a17) Y_i=X_i when X_iL_i=f
(a18) I_(i+1)=Y_iL_(i+1) when Y_iL_(i+1)1f
(a19) I_(i+1)=Y_i when Y_iL_(i+1)=f, said apparatus comprising:
first processing means of computing X_i from I_i on the basis of said (a15) with respect to a given i;
second processing means of computing Y_i on the basis of the result of computation by said first processing means and said (a16) and (a17) with respect to the given i;
third processing means of computing I_(i+1) on the basis of the result of computation by said second processing means and said (a18) and (a19) with respect to the given i;
fourth processing means of storing, as information, I_(i+1), i.e., the result of computation by said third processing means, with respect to the given i;
and
first number designation means of making each of said first to fourth processing means execute its processing with respect to the values of i in ascending order from i=1 to i=n.

36 more elements

A physical state control purpose information computation method of computing information used by a physical state controller,

a control time period of a finite length being divided into a plurality of consecutive time divisions, the physical state controller controlling a physical state of a control-processing-object material,
a limited physical state range relating to the physical state of the control-processing-object material being set in each time division,
the physical state controller changing the physical state of the control-processing-object material at a rate within the corresponding limit control rate range and simultaneously controlling the physical state of the control-processing-object material so that the physical state of the control-processing-object material is within the limited physical state range in the time division, said method comprising:
a time-division-basis reachable physical state range computation step of computing a reachable physical state range reachable by the time the given time division ends on the basis of the physical state control range at the beginning of the given time division and the limit control rates of the physical state controller;
a time-division-basis physical state control range computation step of computing a physical state control range at the beginning of the time division next to the given time division on the basis of the reachable physical state range at the end of the given time division and the limited physical state range in the next time division;
and
an overall physical state control range computation step of designating the time divisions in order from the first time division to the last time division in the control time period and repeating executing each of said time-division-basis reachable physical state range computation step and said time-division-basis physical state control range computation step to obtain physical state control ranges at the beginnings of all the time divisions.

4 more elements

A physical state control purpose information computation method of computing information used by a physical state controller,

a control time period of a finite length being divided into a plurality of consecutive time divisions, the physical state controller controlling a physical state of a control-processing-object material on the basis of conditions relating to the physical state of the control-processing-object material in each of the time divisions through the entire control time period,
the following definitions being given (information about n, b, e, LL_i, LH_i, D, and U being given, each index on the right-hand side of “_” representing a number):
(a1) n:
the total number of time divisions constituting the control time period
(a2) i:
the number of each time division in the control time period when the time divisions are successively assigned numbers 1, 2, . . . , n in order from the first time division in time series
(a3) b:
the value of the physical state of the control-processing-object material at the beginning of the number-1 time division
(a4) e:
the value of the physical state of the control-processing-object material at the end of the number-n time division
(a5) LL_i:
a lower limit value of the physical state of the control-processing-object material in the number-i time division
(a6) LH_i:
an upper limit value of the physical state of the control-processing-object material in the number-i time division
(a7) L_i=[LL_i, LH_i], L_(n+1)=[LL_n, LH_n]
(a8) D:
a limit heightening rate when the physical state of the control-processing-object material is heightened
(a9) U:
a limit lowering rate when the physical state of the control-processing-object material is lowered
(a10) *:
a multiplication operator
(a11) T_i:
the length of the number-i time division
(a12) IL_i:
a lower limit of the physical state of the control-processing-object material reachable by the time the number-i time division begins
(a13) IH_i:
an upper limit of the physical state of the control-processing-object material reachable by the time the number-i time division begins
(a14) I_i=[IL_i, IH_i], I—1=[b, b]=b
(a15) X_i=[IL_i−D*T_i, IH_i+U*T_i]
(a16) Y_i=X_iç L_i when X_iç L_i1f
(a17) Y_i=X_i when X_iç L_i=f
(a18) I_(i+1)=Y_iç L_(i+1) when Y_iç L_(i+1)1f
(a19) I_(i+1)=Y_i when Y_iç L_(i+1)=f, said method comprising:
a first processing step of computing X_i from I_i on the basis of said (a15) with respect to a given i;
a second processing step of computing Y_i on the basis of the result of computation in said first processing step and said (a16) and (a17) with respect to the given i;
a third processing step of computing I_(i+1) on the basis of the result of computation in said second processing step and said (a18) and (a19) with respect to the given i;
a fourth processing step of storing, as information, I_(i+1), i.e., the result of computation in said third processing step, with respect to the given i;
and
a first number designation step of executing each of said first to fourth processing steps with respect to the values of i in ascending order from i=1 to i=n.

36 more elements

Dependencies are inferred from the claim text.