JPS5968620A - Correcting device of measured value - Google Patents
Correcting device of measured valueInfo
- Publication number
- JPS5968620A JPS5968620A JP17929682A JP17929682A JPS5968620A JP S5968620 A JPS5968620 A JP S5968620A JP 17929682 A JP17929682 A JP 17929682A JP 17929682 A JP17929682 A JP 17929682A JP S5968620 A JPS5968620 A JP S5968620A
- Authority
- JP
- Japan
- Prior art keywords
- state
- relational expression
- measured value
- equation
- state quantity
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01D—MEASURING NOT SPECIALLY ADAPTED FOR A SPECIFIC VARIABLE; ARRANGEMENTS FOR MEASURING TWO OR MORE VARIABLES NOT COVERED IN A SINGLE OTHER SUBCLASS; TARIFF METERING APPARATUS; MEASURING OR TESTING NOT OTHERWISE PROVIDED FOR
- G01D3/00—Indicating or recording apparatus with provision for the special purposes referred to in the subgroups
- G01D3/02—Indicating or recording apparatus with provision for the special purposes referred to in the subgroups with provision for altering or correcting the law of variation
Abstract
Description
【発明の詳細な説明】
〔発明の技術分野〕
本発明はプロセスにおける状態世間関係式により関係づ
けられた状態量の測定値を、この測定値と前記状態世間
関係式に基づいて予め定められた誤差関数を最小にする
よう力状態量推定値に修正する修正装置を備え、前記測
定値の誤差を補正する測定値補正装いに関する。[Detailed Description of the Invention] [Technical Field of the Invention] The present invention provides a method for determining the measured value of a state quantity related by a state relational expression in a process, which is predetermined based on the measured value and the state relational expression. The present invention relates to a measured value correction device that corrects errors in the measured values, including a correction device that corrects the estimated force state quantity so as to minimize the error function.
従来の測定値補正装置を第１図に示す。プロセス／の状
態ｌｉｔ、 ｘ １ ｒ ｘ ２ 、、ｘ １１の
測定値をｚｌ ・ｚ２ ・・・・、ｚｎとする。また
状態量ｘ、。A conventional measured value correction device is shown in FIG. Let the measured values of the state lit, x 1 r x 2 , x 11 of the process / be zl .z2 . Also, the state quantity x.
ｘ２ 、・・、Ｘｎの間の関係式を状態世間関係式ｆ
１ （Ｘ、 、Ｘ２−＝、ｘｎ ’）＝０、（１＝ｉ
。The relational expression between x2 ,...,Xn is the state relational expression f
1 (X, ,X2-=,xn')=0, (1=i
.
ユ、・・、ｍ）とする。ここでｆｌ（・）は状態量Ｘ、
・ｘ２ ・・ 、Ｘｎを変数とする関数でｉ、る。Let it be Yu,..., m). Here, fl(・) is the state quantity X,
・x2... is a function with Xn as a variable.
ｆｌ（Ｘｌ 、ｘ２ 、・・・、ｘｎ）＝ｏが次式で表
現できるとき、線形は関係式と呼んでいる。When fl(Xl, x2, . . . , xn)=o can be expressed by the following equation, it is called a linear relational equation.
ｆｌ（ｘ＋ ＋Ｘ２．−、Ｘ１１）＝Ｏｉ（１＋Ｏ１＋
Ｘ＋＋−＋０ｉｎＸｎ−〇 ・・・・ （１）
たたし、０１ｊ ｊ＝０ 、／ 、・・、ｎは既知の定
数でキ）る。状態世間関係式が（１）式で表現できると
き、次のように誤差関数Ｅを定給する。fl(x+ +X2.-,X11)=Oi(1+O1+
X++-+0inXn-〇... (1) Tat, 01j j=0, /,..., n is a known constant. When the state-society relational expression can be expressed by equation (1), the error function E is fixed as follows.
、ｘｎ）１２ ・・・ （，２）ただし、Ｗｌ
は測定器の精度および状態量スケーリング値により定丑
る矩み係数であり、ｕ、１は状態用量１夕１係式の精度
および状態世間関係式のスケーリング飴により定まる沖
み係数である。そして修正装置λで最小２Ａｒ法を適用
し、（コ）式の誤差関数を各状態（Ｈ−Ｘｌ 、 Ｘ
２ 、・・・、Ｘｎで偏微分し、Ｏとおいて侑られた
ｎ次元連立−次方程式を解いて、状態量推定（ｍ、ｘ＋
、Ｘ２ 、・・、ｘｎを得る。, xn) 12 ... (,2) However, Wl
is a square coefficient determined by the precision of the measuring instrument and the state quantity scaling value, and u,1 is a square coefficient determined by the precision of the state dose 1/1 coefficient equation and the scaling factor of the state relation equation. Then, the minimum 2Ar method is applied with the correction device λ, and the error function of equation (k) is converted to each state (H-Xl,
2, ..., Xn, solve the n-dimensional simultaneous equations called O, and estimate the state quantities (m, x+
, X2 , . . . , xn are obtained.
そしてこの状態量推定値Ｘ＋ 、Ｘ２ 、 、Ｘｎ
で測定値Ｚ１ ｒｚ２ −・・・、ｚｎを「換して出力
して、補正をおこなう。And these state quantity estimated values X+ , X2 , , Xn
Convert the measured value Z1 rz2 -..., zn and output it for correction.
このよう々従来の測定値補正装置では、状態量間１５Ｉ
４係式ｆ１（・）が（１）式のよう万線形関係ではなく
、非線形、な関係の場合には、（コ）式の誤差関数Ｅを
用いると、ｎ次元連立−次方程式を解くという解析的な
形で状態量推定値をｑｆ４ることかできなくなる。例え
ば、５番目の状態量関係式が、ｆ ｊ （Ｘ １ ＝
Ｘ ２ 、’・、Ｘ ｎ） ＝ＣｏＪ＋ Ｏ，、ｘ、
＋ Ｃ２ＪＸ２ ＋０３ｊＸ’２ ＝ ０ ・・・
（３）の場合、（３）式の右辺にｘ； の非線形項を含
むため、誤差関数Ｅを状態量ｘ２で（ｍｉ微分した式が
三次方和式となり解析的方法で簡単に状態量推定値を得
ることができ々くなる。In this way, in the conventional measured value correction device, the state quantity is 15I.
If the 4-coefficient equation f1(·) is not a linear relationship as in equation (1), but a non-linear relationship, using the error function E of equation (k) will solve an n-dimensional simultaneous -order equation. It is no longer possible to calculate the estimated state quantity qf4 in an analytical manner. For example, the fifth state quantity relational expression is f j (X 1 =
X 2 ,'・,X n) =CoJ+ O,,x,
+ C2JX2 +03jX'2 = 0...
In the case of (3), since the right side of equation (3) includes the nonlinear term x;, the expression obtained by differentiating the error function E with respect to the state quantity It becomes difficult to obtain the value.
触折的々方法でなく絞１つ返し的方法であれば、状態畦
間関係式が非線形であっても状＠量相定（直を仕ること
ができる。しかしながら、推定値を？４するだめには、
少雑なアルゴリズムを必要とし、必安なメモリ容量が増
加し、求めるための所要時間も長く必要である。特に状
態量推定値をプロセス制御に用いる場合には、長い計算
所要時間は致命的な問題であった。If it is a one-stop method rather than a random method, even if the state-furrow relational expression is nonlinear, it can be used as a constant state @ quantity phase (direct). However, the estimated value is To no avail,
It requires a complicated algorithm, increases the required memory capacity, and takes a long time to calculate. Particularly when using state quantity estimates for process control, the long calculation time is a fatal problem.
本発明は、上記事情を考艇してなされたもので、状態世
間関係式が非線形となっても、解析的に状態量推定１１
１４を得ることができる測定値補正装置を排供すること
を目的とする。The present invention was made in consideration of the above-mentioned circumstances, and even if the state relational expression becomes nonlinear, it is possible to analytically estimate the state quantity.
The object of the present invention is to provide a measured value correction device capable of obtaining 14.
〔屏；明の批（：’Ｂｉ）
この目的を達成するために、本発明による測定（的補正
装屑し」１、状態世間関係式が非線形の場合に、ｂ１１
記状態係間１！’；＋係式を線形の状態量間型関係式に
変１？・する変換装置を軸えたことを特１１Ｊとする。[Screen; Criticism of Ming (:'Bi) In order to achieve this purpose, the measurement (correction equipment) according to the present invention 1, when the state relational expression is nonlinear, b11
Recorded status 1! ';+Changing the equation into a linear relationship between state variables1?・It is specified as Special 11J that it is equipped with a conversion device.
〔発明の実施例Ｊ
本発明を図示の実施例に基づいて説明する。プロセス／
の状態４’１１’、 Ｘ 、−Ｘ ２ ＋・・、ｘｌ
ｌの測定値Ｚ、＋Ｚ２ 、・・、ｚｎを修正父性コに
人力する。[Embodiment J of the Invention The present invention will be explained based on the illustrated embodiment. process/
State 4'11', X, -X 2 +..., xl
The measured values Z, +Z2, .
一方、状ル１；世間関係式ｆ１（ｘ、、ｘ、、−、ｘｎ
）＝ｏが変換装＠３に入力される。変換装（６３は、
状態世間関係式が非線形の場合に、状態世間関係式ｆｉ
（・）７−Ｏを線形な状ｐ世間Ｎ″［ル１係式ｇ、１（
・）＝０に変換するものである。この変換装置３で変換
された状態量間型関係式Ｆｒ、ｉ、（・）−〇は（ＩＺ
ｉＥ装置汽コヘ出力される。イ吟、止装置すＪでは、測
定ｆ６ｚ＋ 、ｚ２ 、・、ｚｒｌと状態量間型関
係式ｇ１（１−＝１７により誤差関数Ｅを定広し、この
誤差関数Ｅを１１ψ小にするような鍜、態量推定［１自
Ｘ）ｒ△ △
ｘ２ 、・、ｘ、１を求めて、測定値Ｘｌ 、Ｘ２
＋”’＋ｘｎの誤す１′：を補正する。On the other hand, state 1; social relational expression f1 (x, , x, , -, xn
)=o is input to the converter @3. Conversion device (63 is
When the state-world relational expression is nonlinear, the state-world relational expression fi
(・) 7-O is a linear form p world N'' [le 1 equation g, 1 (
・)=0. The state quantity type relational expression Fr, i, (・)−〇 converted by this conversion device 3 is (IZ
It is output to the iE device. In the stopping device J, the error function E is fixedly widened by the type relational expression g1 (1-=17) between the measurement f6z+, z2, . , Estimation of state quantity [1 self
Correct the incorrect 1' of +"'+xn.
次にボイラを例として本実施例を史に信組に散、明する
。ボイラ３は、汗、３図に示すように舒料１ＦＢの舶料
を入力すると、発生蒸気＠ Ｓ ＢｊＪる蒸気を発生す
る。これら・燃料量ＦＢと発り）ヨ蒸気量１９Ｂの各状
態量間の間には次の状態量間ｌ（１併式が成立するもの
とする。Next, this embodiment will be explained in detail using a boiler as an example. As shown in Figure 3, when the boiler 3 receives marine feed of 1FB as shown in Figure 3, it generates steam. It is assumed that the following state quantity l (1 simultaneous equation) is established between these state quantities of the fuel quantity FB and the steam quantity 19B.
Ｆ Ｂ −ａ、）−ａｌ ５Ｂ−ａ２ ＳＢ’ ＝ ０
− （４’）ここでａ。、ａｌ ＊ ａ２は予め定
められた定数である。この（弘）式をある８゜、 ａ、
、 、 ８．２ ＶＣ対するＦＢとｓＢの関数を示す
と第を図のように曲線となり、非ＮＬａ形関係であるこ
とがわかる。今、状態’＋ｉｊ Ｆ Ｂ ＋ Ｓ Ｈの
測定値をそれぞれＦＢＩＡ、ＳＢＭとすると、誤差関数
Ｅは（７）式に示す辿り、Ｅ＝（ＦＢ−ＦＢＭ）２＋（
ＳＢ−８ＢＭ）’＋−（Ｆ Ｂ−ａＱ −ａ、 ＳＢ
−Ｂ２ ＳＢ’ ）２−−（Ｊ）となる。なお距み係数
は説明の便宜上ずべて／とする。（５）式を最小にする
ＦＢ、Ｓ１３は、状態借間関係式が（ゲ）式に示すよう
に非線形であるのでこのヰ１では１９’＋折的に求める
ことができない。そこで本実施例では仮Ｍ、！状態量を
導入して変換装置３において線ノ１イな状態量間１９・
１係式に変換する。すなわち仮渭１わに、’ＩＪ−ｊ’
、 −Ｊ ’Ｊ ＝＝ Ｂ Ｂ２ をｆ１人して、（
４＝）式の状態量間［↓・１係式を次式に変換する。F B -a,)-al 5B-a2 SB' = 0
- (4') where a. , al*a2 are predetermined constants. This (Hiroshi) ceremony is a certain 8°, a,
, , 8.2 When the functions of FB and sB with respect to VC are shown, it becomes a curve as shown in the figure, and it can be seen that it is a non-NLa type relationship. Now, if the measured values of state '+ij F B + S H are respectively FBIA and SBM, then the error function E follows the equation (7), E=(FB-FBM)2+(
SB-8BM)'+-(F B-aQ -a, SB
-B2SB')2--(J). Note that all distance coefficients are / for convenience of explanation. FB, S13, which minimizes the equation (5), cannot be obtained in a 19'+ manner in this E1 since the state rental relational equation is non-linear as shown in the equation (G). Therefore, in this embodiment, provisional M,! Introducing the state quantity, the conversion device 3 converts the line 1 state quantity 19.
Convert to 1 coefficient formula. That is, 'IJ-j'
, −J 'J == B B2 by f1 people, (
4=) Convert the state quantity equation [↓・1 coefficient equation into the following equation.
ＦＢ−ａ、、−ａｌｓＢ−ａ、７Ｖ＝（７−−（／、１
すると傾差関独Ｅじ次式の如くなる。FB-a,,-alsB-a,7V=(7--(/,1
Then, the slope of the equation becomes as follows.
■も＝（ＦＢ−ＦＢＭ）′＋（８Ｂ−８Ｂｖ）２＋（Ｖ
−Ｖｖ、 ）２＋（ＦＢ−ａ、）−ａｌ Ｓ Ｂ −Ｂ
２ ｖ）’・・・・・ （７）
ここでＶ ｙ−Ｂ １３Ｍ？ である。このようにする
と、状態借間関係式（６）式は線形とカリ、（７）式の
誤差関数Ｅを最小にするＦＢ、ＳＢ、Ｖは、３兄達ｉ７
−次方程式のｈｌとして側斜、することができ、１ノζ
態−１１１ヘ ハ
Ｆ Ｂ ｒ ６ Ｈの推定ｆｉｃｊＦＢ、ＳＢか得られ
簡単に泗ｌ定値を細１正することができる。■Mo = (FB-FBM)'+(8B-8Bv)2+(V
-Vv, )2+(FB-a,)-al S B -B
2 v)'... (7) Where is V y-B 13M? It is. In this way, the state borrowing relational expression (6) is linear and the FB, SB, and V that minimize the error function E of the equation (7) are the three brothers i7
- Lateral slope as hl in the equation, can be 1 no ζ
Estimated values of F B r 6 H can be obtained and the fixed values can be easily corrected.
非紐形な駄本；（貸間関係式を線形の圧１係式にψ、゛
換するには、次のようにしてもよい。（ｔＩ）式の状態
惜間門係式の非線形かを測定値で置換して、次のような
線形の状態量間開関係式とする、
ＦＢ−−ａ、Ｑ−２１，ＩＦＢ−８，ＩＳＢＭ２＝ｏ−
−（ｇ）すると、訃差閂数Ｅは、
Ｅ＝（ＦＢ−ＦＢＭ）’＋（Ｆ＋ｕ−８ｓｌ、Ｉ）９＋
（ＦＢ−ａｏ−ａ＋ ｓｊ、−ａ、 ５Ｂｖ２）′・（
ｑ１△
となり、これを最小にする状態量和定飴Ｆ Ｉｔ 。(tI) Measure whether the state of the equation (tI) is nonlinear or not. FB--a, Q-21, IFB-8, ISBM2=o-
-(g) Then, the number of bolts E is E=(FB-FBM)'+(F+u-8sl,I)9+
(FB-ao-a+ sj, -a, 5Bv2)'・(
q1△, and the state quantity sum F It that minimizes this is F It .
ハ
Ｓ＋１３はλうｅ連立−次方程式の解として＝ｔｉされ
る。S+13 is calculated as a solution of the simultaneous -order equations.
このようにしても簡単に測定値の補正ｆ＋ｉ“１を求め
ることができる。Even in this manner, the correction f+i"1 of the measured value can be easily obtained.
なお上述した２つの変換方法は状態帽１ｆ−ｉ１関係式
により、寸だ状態量の測定のセンサー４゛１’Ｔ Ｉ”
−鶴により、適宜用み合わせてもよい。The two conversion methods described above are based on the state cap 1f-i1 relational expression, and the sensor 4゛1'T I'' is used for measuring the state quantity.
- May be used in combination depending on Tsuru.
次に状態借間関係式が別の形態で非線形項を含む具体例
について、その変換の方法を説明する。Next, a conversion method will be described for a specific example in which the state borrowing relational expression includes a nonlinear term in another form.
状態借間関係式が次式であられされるとする。Suppose that the state-rental relational expression is expressed by the following equation.
ＣＯ＋０．ｘｌｘ７＋ｃ、 Ｘｌ、’、 ＋０３
ｘＢ＝０ ・・ ・・ （１０）仮想状ｉ？、ｉ
ｕ ７＋ ＝ Ｘｌ ｘ、 ｌ ７２ ＝ ”／ ｚ２
を導入して（１０）式を次のように変換する。CO+0. xlx7+c, Xl,', +03
xB=0... (10) Virtual state i? ,i
u 7+ = Xl x, l 72 = ”/z2
is introduced to transform equation (10) as follows.
Ｇ！ｏ＋Ｏ，ｙｌ＋Ｃｔ７ｔ ＋０３ｘ３＝θ ・・
・・ （／／）すると評差関数Ｅは次のようになる。G! o+O,yl+Ct7t +03x3=θ...
... (//) Then, the evaluation difference function E becomes as follows.
Ｅ−ｗ、２ （ｙ １ ’ ｙ １Ｍ）２＋ Ｗ２’
（７２７２Ｍ）２＋Ｗ３’ （Ｘｓ ”ｓＭ）２＋ｎ
、’ （Ｃｏ＋Ｃ＋Ｖ＋＋ＣｔＶ２＋Ｃ，、ｘ３’）’
・・・・・ （／（２）ここで７１ Ｍ＝
ＸＩＭ Ｘ２Ｍ ｒ ７２Ｍ”” ’／ であ２
Ｍ
る。そしてこの誤差関数を最小にする状態量推定へ
ハ へ
ｆｎ’ｉｙ＋ １７２ − Ｘｓ結局はＸＩ ｈ Ｘ
２ − Ｘ３を解」フ１的に求めることができる。E-w, 2 (y 1' y 1M)2+ W2'
(7272M)2+W3' (Xs "sM)2+n
,'(Co+C+V++CtV2+C,,x3')'
・・・・・・ (/(2) where 71 M=
XIM X2M r 72M""'/ De2
M Ru. Then, to estimate the state quantity that minimizes this error function
Ha fn'iy+ 172 - Xs After all, XI h X
2 - X3 can be found simply.
１だ、一部の状態量が測定されていガい場合は、この状
態量に関する項を無札１しておこなってもよい。例えば
上記の例で状態量ｘ３が測定されていない賜金は、Ｗ４
差β（ｉ数Ｅを次の如くすればよい。1. If some state quantities have not been measured, the term related to this state quantity may be left blank. For example, in the above example, the gift whose state quantity x3 is not measured is W4
The difference β (i number E may be set as follows.
Ｅ＝ｗ＋２（ｙ＋ ７＋ ｖ）’＋ｗｔ’（７２７２
Ｍ）２４θ＋ ｕ、２ （Ｃｏ＋−７＋ ＋Ｃ２３’２
＋ＣｓＸ３）２−（’３’）〔発明の効果〕
以上の通り、本発明によれば、状態紙間関係式が非線形
な場合でも、簡単な’Ｍｖｉ的方法で測定（的の補正を
おこなうことができる。また補正のための所焚時間も短
くてすむため、プロセス制御１１４１に：推定１直を用
いる場合に特に効果がある。更に非線形を最適化すると
きに生ずるＨ算Ｄ［要時間の増大、メモリ容量の増大、
計算の被雑を、目的関数の多峰性すなわち目的関数の極
点が衿数存在すること、などにより生ずる問題をすべて
回避することができる。E=w+2(y+7+v)'+wt'(7272
M) 24θ+ u, 2 (Co+-7+ +C23'2
+Cs In addition, since the required firing time for correction is short, it is particularly effective when using one estimation shift in process control 1141.Furthermore, the H calculation D [required time] that occurs when optimizing nonlinearity is increase, increase in memory capacity,
It is possible to avoid all the problems caused by the multimodal nature of the objective function, that is, the existence of a large number of extreme points in the objective function.
第１図は従来の測定値補正装置のブロック図、４２図は
本発明の一実施例による測定値補正装ばのブロック図・
第３図は同測定装Ｕの対Ｓ″ブロセヌ具体例であるボイ
ラのフロック図、
２Ｐｑ図は同ボイラの状態量間の関係を示ずグラフであ
る。
／・プロセス、コ・・・停止装置、３・・ボイラ。
出願人代矧人 猪 股 清児１図
毘２図
ｔンサー清度
ｆｉ（Ｑｒ工２．−、、ｘｎ）＝。
箆３図
第４図FIG. 1 is a block diagram of a conventional measured value correction device, FIG. 42 is a block diagram of a measured value correction device according to an embodiment of the present invention, and FIG. 3 is a specific example of the same measuring device U paired with S'' Brosenu. The boiler block diagram and 2Pq diagram are graphs that do not show the relationship between the state quantities of the boiler.／・Process, Co...Stop device, 3...Boiler. Figure 2 t sensor purity fi (Qr 2.-, xn) =. Figure 3 Figure 4
Claims (1)
れた状態量の測定値を、この測定値と前記状態世間関係
式に基づいて予め定められた誤差関数を最小にするよう
な状態量椎定値に修正する修正装置を備え、前記測定値
の誤差を補正する測定値補正装置において、 前記状態世間関係式が非線形の場合に、加配状態量間関
係式を線形の状態量間型関係式に変換する変換装置を備
えたことを特徴とする測定値補正装置。 、２特許請求の範囲第１項記載の装置において、前記変
換装置は、前記状態世間関係式の非線形Ｄ′ｊを仮想的
に設けられた仮想状態量に置換することにより、前記状
態世間関係式を線形の状態ｂ１°間を（ν１係式に変換
することを特徴とする測定値補正装置。 ３、特許請求の範囲第１項記載の装置において、前記変
換装Ｗ１は、前記状態ＩＲ間量関係式非線形項の状態量
を、その状態量の測定値に置換することにより、加配状
態量間関係式を線形の状態φ間型関係式に変換すること
を特徴とする測定値補正装置。[Scope of Claims] / The measured value of the state quantity related by the state-world relational expression in the process is such that a predetermined error function is minimized based on this measured value and the state-world relational expression. The measured value correction device includes a correction device for correcting a state quantity fixed value and corrects an error in the measured value, wherein when the state relational expression is nonlinear, the additive state quantity relational expression is changed to a linear state quantity relational expression. A measured value correction device comprising a conversion device for converting into a relational expression. , 2 In the device according to claim 1, the conversion device converts the state-world relational expression by replacing the nonlinear D′j of the state-world relational expression with a virtually provided virtual state quantity. A measurement value correction device characterized by converting the linear state b1° into the (ν1 coefficient equation). 3. In the device according to claim 1, the converting device W1 is configured to convert the state IR interval A measured value correction device characterized in that a relational expression between additive state quantities is converted into a linear relational expression between states φ by replacing a state quantity of a nonlinear term of the relational expression with a measured value of the state quantity.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP17929682A JPS5968620A (en) | 1982-10-13 | 1982-10-13 | Correcting device of measured value |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP17929682A JPS5968620A (en) | 1982-10-13 | 1982-10-13 | Correcting device of measured value |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPS5968620A true JPS5968620A (en) | 1984-04-18 |
Family
ID=16063342
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP17929682A Pending JPS5968620A (en) | 1982-10-13 | 1982-10-13 | Correcting device of measured value |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS5968620A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS63142215A (en) * | 1986-12-05 | 1988-06-14 | Agency Of Ind Science & Technol | Multivariable polynomial type measured value calibrator |
| WO1993003328A1 (en) * | 1991-08-05 | 1993-02-18 | Daikin Industries, Ltd. | Method and apparatus for analyzing physical quantities, and apparatus for removing line spectrum noise |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5326151A (en) * | 1976-08-23 | 1978-03-10 | Hewlett Packard Yokogawa | Automatic compensating system |
-
1982
- 1982-10-13 JP JP17929682A patent/JPS5968620A/en active Pending
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5326151A (en) * | 1976-08-23 | 1978-03-10 | Hewlett Packard Yokogawa | Automatic compensating system |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS63142215A (en) * | 1986-12-05 | 1988-06-14 | Agency Of Ind Science & Technol | Multivariable polynomial type measured value calibrator |
| WO1993003328A1 (en) * | 1991-08-05 | 1993-02-18 | Daikin Industries, Ltd. | Method and apparatus for analyzing physical quantities, and apparatus for removing line spectrum noise |
| US5631855A (en) * | 1991-08-05 | 1997-05-20 | Daikin Industries, Ltd. | Methods and apparatus for analyzing physical quantities and apparatus for reducing line spectrum noise |
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