JP3385466B2 - Gain Adjustment Method in Mechanical System Operation Control by Negative Feedback Method - Google Patents
Gain Adjustment Method in Mechanical System Operation Control by Negative Feedback MethodInfo
- Publication number
- JP3385466B2 JP3385466B2 JP2000052509A JP2000052509A JP3385466B2 JP 3385466 B2 JP3385466 B2 JP 3385466B2 JP 2000052509 A JP2000052509 A JP 2000052509A JP 2000052509 A JP2000052509 A JP 2000052509A JP 3385466 B2 JP3385466 B2 JP 3385466B2
- Authority
- JP
- Japan
- Prior art keywords
- frequency
- value
- load
- mechanical system
- negative feedback
- 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.)
- Expired - Fee Related
Links
Landscapes
- Feedback Control In General (AREA)
- Control Of Electric Motors In General (AREA)
Description
【0001】[0001]
【発明の属する技術分野】サーボモータ等に代表され
る、負帰還方式による機械系の動作制御における、自動
制御分野に属する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention belongs to the field of automatic control in operation control of a mechanical system by a negative feedback system, which is represented by a servomotor.
【0002】[0002]
【従来の技術】サーボモータ等のオートチューニングの
方法として、指令値に対する誤差を瞬時に検出しその誤
差の大きさに見合うだけの補正信号を与えて忠実度を保
とうとする リアルタイム型のオートチューニング方法
が一般的であるが、急激な外乱に対する制御が不安定で
あったり、特にデジタル制御においてはCPUへの負担
が大きく システムとして複雑化する傾向にあった。ま
た加減速信号を与えて負荷イナーシャを推定しゲインパ
ラメータを設定するイニシャル型のオートチューニング
も一般化されてはいるが、理論的な考察に乏しいためか
完全なものは商品化されていなかった。そのため、多く
のゲインパラメータを勘と経験に頼るめんどうなマニュ
アル調整で設定するのが一般的であった。2. Description of the Related Art As a method for auto-tuning a servo motor or the like, a real-time auto-tuning method for instantaneously detecting an error with respect to a command value and giving a correction signal commensurate with the magnitude of the error to maintain fidelity. However, the control against a sudden disturbance is unstable, and particularly in digital control, the load on the CPU is large and the system tends to be complicated. Also, initial type auto-tuning in which a load parameter is estimated by giving an acceleration / deceleration signal and a gain parameter is set has been generalized, but a perfect one has not been commercialized due to lack of theoretical consideration. Therefore, cumbersome documentation to rely on experience and intuition a lot of gain parameters
It was common to set it by adjusting .
【0003】[0003]
【発明が解決しようとする課題】負帰還方式による機械
系の動作制御において、指令に対する動作の忠実度や安
定度を決めるためのゲインパラメータの調整を簡便かつ
確実に行うことを目的とする。また、システムとして簡
単な構成となるところに特徴がある。SUMMARY OF THE INVENTION An object of the present invention is to easily and surely adjust a gain parameter for determining the fidelity and stability of an operation with respect to a command in the operation control of a mechanical system by the negative feedback method. Another feature is that the system has a simple configuration.
【0004】[0004]
【課題を解決するための手段】誤差増幅器の周波数特性
を、無負荷状態において最適になるように総合ゲイン
(誤差増幅器の周波数と位相の特性を変化させずに、全
周波数においてゲインを比例的に増減させるゲインパラ
メータ),積分周波数(積分回路の折点周波数),微分
周波数(微分回路の折点周波数),高域遮断周波数の値
を、図1のように設定配置する。ここで、機械系可動部
の共振周波数f0[Hz]と、質量M[kg]
となることが知られている。なお、共振点(f0)近傍
においては大きく位相が遅れることも知られており、閉
ループ制御での最大応答周波数はその機械系の共振周波
数で制限されることが分かる。また、開ループ時の振幅
応答特性は共振点近傍までほぼ−6[dB/oct]
(−20[dB/dec])の 1次遅れ特性(90°
位相遅れ)であることも、一般的に知られている。な
お、モータ等の電気的時定数(電機子インダクタンス/
電機子巻線抵抗)による遅れは、別回路により簡単に補
正が可能なので、これによる影響は無視して考える。The frequency characteristic of the error amplifier is optimized so that the gain is optimized in an unloaded state without changing the frequency and phase characteristics of the error amplifier. The values of the gain parameter to be increased / decreased, the integration frequency (breaking point frequency of the integrating circuit), the differential frequency (breaking point frequency of the differentiating circuit), and the high cutoff frequency are set and arranged as shown in FIG. Here, the resonance frequency f 0 [Hz] of the mechanical system movable part and the mass M [kg] It is known that It is also known that the phase is greatly delayed in the vicinity of the resonance point (f 0 ), and it can be seen that the maximum response frequency in closed loop control is limited by the resonance frequency of the mechanical system. In addition, the amplitude response characteristic during open loop is approximately -6 [dB / oct] up to near the resonance point.
(−20 [dB / dec]) first-order delay characteristic (90 °
Phase delay) is also generally known. Na
The electrical time constant of the motor, etc. (armature inductance /
Delay due to armature winding resistance) can be easily compensated for by a separate circuit.
Since it is possible to correct, consider the effect of this .
【0005】ここで負荷質量や負荷慣性モーメント(負
荷イナーシャ)の値を無負荷時の2倍(負荷質量比=
1,負荷イナーシャ比=1)にした場合を考えると、開
ループ時の振幅応答特性は無負荷時に対して6dB減衰
する。また共振周波数は
交点(交差周波数)を最適状態(位相余裕>45°)に
維持出来ることが分かる。Here, the values of the load mass and the load inertia moment (load inertia) are twice as large as when there is no load (load mass ratio =
1. Considering the case where the load inertia ratio = 1), the amplitude response characteristic in the open loop is attenuated by 6 dB as compared with that in the case of no load. And the resonance frequency is It can be seen that the intersection point (crossover frequency) can be maintained in the optimum state (phase margin> 45 °).
【0006】以上より、一般論として 総合ゲインの値
は、
(無負荷時の値:0dBとする)+10log{1+(A又はB)} [dB]
積分周波数,微分周波数,高域遮断周波数の値は、
とすることが望ましいことが分かる。
(注)A=負荷質量比=(モータ側換算の負荷質量値)/(リニアモータ単体で
の可動部質量値)
B=負荷慣性モーメント比=(モータ軸換算の負荷イナーシャ値)/(モ
ータのロータイナーシャ値)From the above, as a general theory, the value of the total gain is (value at no load: 0 dB) + 10log {1+ (A or B)} [dB] Integration frequency, differential frequency, high cutoff frequency Is It turns out that it is desirable to (Note) A = Load mass ratio = (Motor side converted load mass value) / (Movable part mass value of linear motor alone) B = Load inertia moment ratio = (Motor shaft converted load inertia value) / (Motor Rotor inertia value)
【0007】[0007]
【発明の効果】以上の結論に基づき、サーボモータ等の
無負荷時(モータ単体)でのゲインパラメータの最適値
が決定された後は、負荷質量比や負荷慣性モーメント比
に合わせて上記の設定値に調整すれば自動的に最適値と
なるので、1つかもしくは2つのパラメータで簡単にゲ
イン調整が出来るようになる。なお、ステップ応答特性
を観察してそのパラメータを自動設定出来るように構成
すれば更に簡便なものとなる。また、システム上からも
従来の自動調整に比べて簡単な構成となっている。[Effects of the Invention] Based on the above conclusion, after the optimum value of the gain parameter at the time of no load (motor alone) of the servo motor etc. is determined, the above setting is made in accordance with the load mass ratio and the load inertia moment ratio. If the value is adjusted to the optimum value, it automatically becomes the optimum value, so that it becomes possible to easily adjust the gain with one or two parameters. If the step response characteristic is observed and the parameter can be automatically set, it becomes simpler . Also, it has a simple structure as compared with the conventional automatic adjustment from the system.
【図1】誤差増幅器の理想的な周波数特性図である。FIG. 1 is an ideal frequency characteristic diagram of an error amplifier.
【図2】負荷質量比又は負荷慣性モーメント比(負荷イ
ナーシャ比)が“1”の場合のゲイン交点近傍における
ボード線図である。FIG. 2 is a Bode diagram in the vicinity of a gain intersection when the load mass ratio or the load inertia moment ratio (load inertia ratio) is “1”.
I : 総合 ゲイン [dB] (無負荷時を0B
と規定する)
II : 積分 ゲイン [dB] (20〜80[d
B])
III: 微分 ゲイン [dB] ( 6〜20[d
B])
IV : 積分 周波数 [Hz]
V : 微分 周波数 [Hz]
VI : 高域遮断周波数[Hz]
α : 無負荷状態(モータ単体)での交差周波数
[Hz]I: Overall gain [dB] (0B at no load)
II: integral gain [dB] (20 to 80 [d
B]) III: Differential gain [dB] (6 to 20 [d
B]) IV: Integral frequency [Hz] V: Differential frequency [Hz] VI: High cutoff frequency [Hz] α: Crossover frequency [Hz] in no-load condition (motor alone)
Claims (2)
るPID制御において、誤差増幅器の制御パラメータで
ある積分周波数,微分周波数及び高域遮断周波数の値を
この順番に高くなるように配置し、かつ誤差増幅器の総
合ゲインの値と上記各々の周波数の値とを、負荷質量比
又は負荷慣性モーメント比の値が大きくなるに応じて、
総合ゲインの値は大きく上記各々の周波数の値は低くす
ることを特徴とするゲイン調整の方法。1. In PID control by a negative feedback method in operation control of a mechanical system, values of an integration frequency, a differential frequency, and a high cutoff frequency, which are control parameters of an error amplifier, are arranged so as to increase in this order, and The value of the total gain of the error amplifier and the value of each of the above frequencies are calculated in accordance with the increase of the load mass ratio or the load inertia moment ratio value.
A method of gain adjustment, characterized in that the value of total gain is large and the value of each of the above frequencies is low.
るPID制御において、誤差増幅器の制御パラメータで
ある積分周波数,微分周波数及び高域遮断周波数の値を
この順番に高くなるように配置し、かつ上記各々の周波
数間隔の比率を一定に保ちながら、負荷質量比又は負荷
慣性モーメント比の値が大きくなるに応じて、上記各々
の周波数の値を低くすることを特徴とするゲイン調整の
方法。2. In the PID control by the negative feedback method in the operation control of the mechanical system, the values of the integral frequency, the differential frequency and the high cutoff frequency, which are the control parameters of the error amplifier, are arranged so as to increase in this order, and A method of gain adjustment, characterized in that the value of each frequency is lowered as the value of the load mass ratio or the load inertia moment ratio increases while keeping the ratio of each frequency interval constant.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2000052509A JP3385466B2 (en) | 2000-01-24 | 2000-01-24 | Gain Adjustment Method in Mechanical System Operation Control by Negative Feedback Method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2000052509A JP3385466B2 (en) | 2000-01-24 | 2000-01-24 | Gain Adjustment Method in Mechanical System Operation Control by Negative Feedback Method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JP2001209403A JP2001209403A (en) | 2001-08-03 |
| JP3385466B2 true JP3385466B2 (en) | 2003-03-10 |
Family
ID=18574013
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2000052509A Expired - Fee Related JP3385466B2 (en) | 2000-01-24 | 2000-01-24 | Gain Adjustment Method in Mechanical System Operation Control by Negative Feedback Method |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP3385466B2 (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP4694238B2 (en) * | 2005-04-01 | 2011-06-08 | シーケーディ株式会社 | Servo motor control device |
| JP5198941B2 (en) * | 2008-06-03 | 2013-05-15 | 株式会社豊田中央研究所 | Vehicle steering system |
-
2000
- 2000-01-24 JP JP2000052509A patent/JP3385466B2/en not_active Expired - Fee Related
Also Published As
| Publication number | Publication date |
|---|---|
| JP2001209403A (en) | 2001-08-03 |
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