SE442921B - SELF-ADJUSTING REGULATOR - Google Patents

SELF-ADJUSTING REGULATOR

Info

Publication number
SE442921B
SE442921B SE7802097A SE7802097A SE442921B SE 442921 B SE442921 B SE 442921B SE 7802097 A SE7802097 A SE 7802097A SE 7802097 A SE7802097 A SE 7802097A SE 442921 B SE442921 B SE 442921B
Authority
SE
Sweden
Prior art keywords
controller
sampling
sampling time
self
time
Prior art date
Application number
SE7802097A
Other languages
Swedish (sv)
Other versions
SE7802097L (en
Inventor
G Bengtsson
Original Assignee
Asea Ab
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Asea Ab filed Critical Asea Ab
Priority to SE7802097A priority Critical patent/SE442921B/en
Priority to DE19792905525 priority patent/DE2905525A1/en
Priority to DK68679A priority patent/DK148853C/en
Priority to FI790565A priority patent/FI72215C/en
Priority to NO790576A priority patent/NO156345C/en
Priority to GB7906252A priority patent/GB2015771B/en
Priority to CA000322167A priority patent/CA1142590A/en
Publication of SE7802097L publication Critical patent/SE7802097L/en
Publication of SE442921B publication Critical patent/SE442921B/en

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Classifications

    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/0205Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system

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  • Engineering & Computer Science (AREA)
  • Software Systems (AREA)
  • Artificial Intelligence (AREA)
  • Computer Vision & Pattern Recognition (AREA)
  • Evolutionary Computation (AREA)
  • Medical Informatics (AREA)
  • Health & Medical Sciences (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Automation & Control Theory (AREA)
  • Feedback Control In General (AREA)
  • Diaphragms For Electromechanical Transducers (AREA)
  • General Induction Heating (AREA)

Description

7802097-1 2 ning. Syftet är alltså att finna en lämplig samplingstid för en stabil reglering med utgångspunkt från en fiiierad löptid-k, dvs antalet samplinga- intervall till dess systemet svarar. Man undviker härvid risken av ett instabilt system där k är för litet. 5 Uppfinnimgen är närmare illustrerad i bifogad figur 2, som visar ett block- schema för en självinställande regulator enligt uppfinningen. Figur 1 är en illustration till uppfinningen: bakgumd (se ovan). 7802097-1 2 ning. The purpose is thus to find a suitable sampling time for a stable control based on a different maturity-k, ie the number of sampling intervals until the system responds. This avoids the risk of an unstable system where k is too small. The invention is further illustrated in the attached figure 2, which shows a block diagram of a self-adjusting regulator according to the invention. Figure 1 is an illustration of the invention: back gum (see above).

Den process, vilken avses styrd med den självinställande regulatorn enligt uppfinningen visas vid 1 (figur 2). Till processen föres ett styrvärde 2. |o I anordningen ingår en lineär, digital regulator 3 av .t ex PID-karaktär, till vil- ken bl a föres ett referensvärde 4. Regulatorn är anordnad att styra processen, och för att göra den självinställande är den kopplad till ett beräknings- och inställningsorgan 5 för optimal inställning av reglerparametrarna, adaption av reglerparametrarna. 15 Till regulatorn är även anslutet ytterligare ett berälcrzings- och inställninga- organ 6 för inställning av lämplig sampligstid (T) vid ett samplingsdon 7 för in- och urkoppling av reglersigxalerna (via 8) (adaption av samplingstiden T).The process, which is intended to be controlled by the self-adjusting regulator according to the invention, is shown at 1 (figure 2). A control value is added to the process 2. | o The device includes a linear, digital controller 3 of, for example, PID character, to which, among other things, a reference value is supplied. is it connected to a calculation and setting means 5 for optimal setting of the control parameters, adaptation of the control parameters. A further control and setting means 6 for setting the appropriate sampling time (T) is also connected to the controller at a sampling device 7 for switching on and off the control signals (via 8) (adaptation of the sampling time T).

Ebcekveringsföljden är, att regulatorn 3 inkopplas vid varje samplingstidpmlkt, under det att adaptionen kan ske efter något av följande tre alternativ: 110 1) samma frekvens som regulatorn 3 2) långsammare frekvens än regulatorn 3 3) vid installation eller enbart vid inträffad händelse.The sequencing sequence is that the controller 3 is switched on at each sampling time point, while the adaptation can take place according to one of the following three alternatives: 110 1) the same frequency as the controller 3 2) slower frequency than the controller 3 3) during installation or only in the event.

Regulatorn enligt uppfinningen är alltså helt självinställande, dvs inga parametrar behöver justeras manuellt vid anslutning av regulatorn 3 till processen 1. 25 Regulatorn med dess adaptionsorgan 5-6 fungerar som ett tidsdishet system där mätsignalerna från processen samples (T) och samplingsvärdena anpassas till en modell för processen, lämpligen inbyggd i regulatorn. Med utgångspunkt från modellen väljes en optimal styrsiglal.The controller according to the invention is thus completely self-adjusting, ie no parameters need to be adjusted manually when connecting the controller 3 to the process 1. The controller with its adapters 5-6 functions as a time mist system where the measurement signals from the process are sampled (T) and the sampling values are adapted to a model for the process, suitably built into the controller. Based on the model, an optimal steering signal is selected.

Till skillnad från tidigare kända självinställande regulatorer behöver ej vid gg - uppfinningen samplingstid T/dislccet-Ãlöptidíke anpassas .till-en modell- föxfl-:proe- 0985921- 10 15 20 25 7802097-1 Enligt en utför-ägg' form av uppfinningen kazftiaziexempelvis fixera den diskreta löptiden k i processen (=- antalet samplingstider T/kontinuerlig löptid) till 2 eller mer (se figur 1). De samplingstider regulatorn väljer mellan kan illustreras i följande formel (re1cursiv): =----T. _ (1) Ti är alltså de olika samplingstiderrza. Man börjar med To och går uppåt till dess man hittar lämpligt T, vilket ju sker automatiskt i regulatorn.Unlike previously known self-adjusting regulators, in the case of the invention, the sampling time T / dislccet-running time does not need to be adapted to a model fox: Proe- 0985921- 10 15 20 25 7802097-1 According to an embodiment of the invention, for example. fix the discrete maturity in the process (= - the number of sampling times T / continuous maturity) to 2 or more (see figure 1). The sampling times the controller chooses between can be illustrated in the following formula (recursive): = ---- T. _ (1) Ti are thus the different sampling times. You start with To and go up until you find the appropriate T, which of course happens automatically in the controller.

Det kan visas, att det existerar exakt en samplingstid av de som genereras av nämnde formel (1), som passar till processen. Dessutom genereras ett fåtal samplingstider att testas. För k = 2, TO = 20 msek Behövs endast 13 olika samp- língstider för att täcka. området 20 msek - 82 sek.It can be shown that there is exactly one sampling time of those generated by said formula (1), which suits the process. In addition, a few sampling times are generated to be tested. For k = 2, TO = 20 msec Only 13 different sampling times are needed to cover. range 20 msec - 82 sec.

För att finna den korrekta samplingstiden av de genererade samplingstidenia enligt; formel (1) under izxjusteringen evaluerar regulatorn en förlust G , be- stående av en viktad kvadratsumma av mätsigrzaler i konsekutiva samplingstid- punkter. . 2 2 g = yzpfi) + Å . [y (t-mkflz + X2 Ef (t-zækfl + }\5 Ef (t-smkfl + (2) Den korrekta samplingstiden Tk är den för vilken följande gäller: (A) ß har lokalt mmm i sk, avs G (ik) < min((š(wk_1), G (TkHD där Tk genereras av formeln (1).To find the correct sampling time of the generated sampling times according to; formula (1) during the izx adjustment, the controller evaluates a loss G, consisting of a weighted square sum of measurement sigzals at consecutive sampling times. . 2 2 g = yzp fi) + Å. [y (t-mk fl z + X2 Ef (t-zæk fl +} \ 5 Ef (t-smk fl + (2) The correct sampling time Tk is the one for which the following applies: (A) ß has local mmm in sk, section G ( ik) <min ((š (wk_1), G (TkHD where Tk is generated by the formula (1).

(B) G är stationär, dvs 1 GN (Tk) / 603196 1 P)9 där p väljas som lämplig konstant (p = P1 _{ (N, 00) om hypotesprövnzlng av _ 2 "regulatorn optimal" med rislmivå OC' önskas). f; T ) beteclmar förlusten evaluerad under de N sista samplingstidpunkterna.(B) G is stationary, ie 1 GN (Tk) / 603196 1 P) 9 where p is selected as the appropriate constant (p = P1 _ {(N, 00) if hypothesis testing of _ 2 "regulator optimal" with rice level OC 'is desired ). f; T) means the loss evaluated during the N last sampling times.

N k G skall alltså. uppfylla dessa två. villkor för att systemet skall vara stabilt.N k G shall thus. meet these two. conditions for the system to be stable.

Hammar t ex kvoten enligt B utanför (š- , p) vid hypotesprovningen blir systemet instabilt. Üvsozoav-1 10 15 4 Emligt en annan utföz-Lngg' form fixeras på. samma 'sätt som ovan den diskreta löptiden k till godtyckligt heltal k Z 2.If, for example, the ratio according to B falls outside (š-, p) during the hypothesis test, the system becomes unstable. Üvsozoav-1 10 15 4 According to another utföz-Lngg 'form is fixed on. same 'as above the discrete duration k to any integer k Z 2.

Samplingstiden tillåts att ändras i diskteta tidpunkter tN enligt formlerna nedan. alm = tN + m - TOGN), där m är ett fixt godtyckligt heltal Z1 och T är samplingstiden bestämd i tidpunkten tN. nu; filtrerat måtvärae züN) times som funktion av mätvämae: i samplingsfia- punkterna tN_1, tH_1 + T(tn), ..., tN såsom viktad summa. av följande storheter: 1121; sšyïtN) = ä) y(tN_1+i*m(tN_1))y(tN_1+(i-n)m(tN_1)) 11z=1= s;f<«N> = iåå y<flN;1+i»>uT> 111 syßN) = _5_Oy(tN_1+ieeæ(tN_1)) l, _ Adaptionsanordningen 6 i figur 2 utföres som en självinställande regulator med samma beräkningsmetodik som i 3,95, figur 2, med endast den skillnaden att z(tN) betraktas som "mätvärde" och T(tN) (samplingstiden vid tidpunkten tN) som "styrvärde" .The sampling time is allowed to change at disk times tN according to the formulas below. alm = tN + m - TOGN), where m is a fixed arbitrary integer Z1 and T, the sampling time is determined in the time tN. now; filtered measured value züN) times as a function of measured quantity: in the sampling fi- points tN_1, tH_1 + T (tn), ..., tN as weighted sum. of the following quantities: 1121; sšyïtN) = ä) y (tN_1 + i * m (tN_1)) y (tN_1 + (in) m (tN_1)) 11z = 1 = s; f <«N> = iåå y <fl N; 1 + i»> uT > 111 syßN) = _5_Oy (tN_1 + ieeæ (tN_1)) 1, _ The adaptation device 6 in Figure 2 is designed as a self-adjusting controller with the same calculation methodology as in 3.95, Figure 2, with the only difference that z (tN) is considered as "measured value" and T (tN) (sampling time at time tN) as "control value".

Anordníngen enligt ovan kan varieras på mångahanda sätt inom ramen för nedan- stående patentlccav.The device as above can be varied in many ways within the scope of the following patent claims.

Claims (2)

1. 7802097-1 UI 1- " »- 1. Anordning vid självinställande regulator-er, vilken regulator inne- fattar en lineär, digital regenter (5), a; e: ev PI- eller Pin-makter, varvid 1 enerdningen även ingår et: berazminge- den meteumngedrgen (5) för optimal inställning av reglerparametrarna, k ä n n e t e c k n a d därav, att i anordningen ingår ett samplingsdon (7) för regleraigxaaler, samt att till regulatorn är anslutet ytterligare ett berälmings- och in- ställningsorgan (6) för styrning av samplingsdonet (7), i ändamål att anpassa samplingstiden för optimal reglering, varvid ny samplingstid är anordnad att beräknas för varje inställning. 1. 7802097-1 UI 1- "» - 1. Device for self-adjusting controllers, which controller comprises a linear, digital regent (5), a; e: possibly PI or Pin powers, wherein 1 the device also includes a: meteumngedrg (5) for optimal setting of the control parameters, characterized in that the device includes a sampler (7) for control axles, and that another regulating and adjusting means (6) is connected to the controller. for controlling the sampling device (7), for the purpose of adapting the sampling time for optimal control, wherein new sampling time is arranged to be calculated for each setting. 2. Anordning enligt patentlcrav 1, k ä. nn e t e c k n a d därav, att 1 beräkningen-Benet ar metaubem en diekret laptid (k), varefter seden denna inetänte en för systemets etdbilieet 'Lämplig eempliggetid (m) är anordnad att automatiskt utväljas. 5. Anordning enligt patentkrav 1, k ä n n e t e c k n a d därav, att eemplingetiden (r) äd- enordnad ett utvaljee 1 beräxmmgeergenet enlig: följande formel ' där 'Bi är de olika samplingstiderna och där lämpligt T är anordnat att utvälj as i regulatorn.2. A device according to claim 1, characterized in that the calculation-Benet is metaubem a diekret laptid (k), after which since this inteente a for the system etdbilieet 'Suitable eempligget time (m) is arranged to be selected automatically. Device according to claim 1, characterized in that the sampling time (es) is arranged in a selection according to the following gene: the following formula 'where' Bi is the different sampling times and where appropriate T is arranged to be selected in the controller.
SE7802097A 1978-02-23 1978-02-23 SELF-ADJUSTING REGULATOR SE442921B (en)

Priority Applications (7)

Application Number Priority Date Filing Date Title
SE7802097A SE442921B (en) 1978-02-23 1978-02-23 SELF-ADJUSTING REGULATOR
DE19792905525 DE2905525A1 (en) 1978-02-23 1979-02-14 SELF-ADJUSTING CONTROLLER ARRANGEMENT
DK68679A DK148853C (en) 1978-02-23 1979-02-16 SELF-ADJUSTING REGULATOR
FI790565A FI72215C (en) 1978-02-23 1979-02-20 Device for self-adjusting controllers.
NO790576A NO156345C (en) 1978-02-23 1979-02-21 SELF-ADJUSTING REGULATOR.
GB7906252A GB2015771B (en) 1978-02-23 1979-02-22 Self-adjusting regulator
CA000322167A CA1142590A (en) 1978-02-23 1979-02-22 Self-adjusting regulator

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
SE7802097A SE442921B (en) 1978-02-23 1978-02-23 SELF-ADJUSTING REGULATOR

Publications (2)

Publication Number Publication Date
SE7802097L SE7802097L (en) 1979-08-24
SE442921B true SE442921B (en) 1986-02-03

Family

ID=20334083

Family Applications (1)

Application Number Title Priority Date Filing Date
SE7802097A SE442921B (en) 1978-02-23 1978-02-23 SELF-ADJUSTING REGULATOR

Country Status (7)

Country Link
CA (1) CA1142590A (en)
DE (1) DE2905525A1 (en)
DK (1) DK148853C (en)
FI (1) FI72215C (en)
GB (1) GB2015771B (en)
NO (1) NO156345C (en)
SE (1) SE442921B (en)

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS57199004A (en) * 1981-06-01 1982-12-06 Toshiba Corp Sample value adaptive process controller
US4492336A (en) * 1982-03-17 1985-01-08 Matsushita Electric Industrial Co., Ltd. Cooker with heating control system
DE3921158A1 (en) * 1989-06-28 1991-01-10 Pintsch Bamag Ag Automatic double-panel door opening and closure drive - has constant closing force with set-point control such that obstruction reduces armature current and torque
DE19516627A1 (en) * 1995-05-05 1996-11-07 Ranco Inc Method and device for controlling a process
DE19519378B4 (en) * 1995-05-26 2011-06-30 Bayerische Motoren Werke Aktiengesellschaft, 80809 Cooling system with electrically adjustable actuator

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE2335788A1 (en) * 1972-07-21 1974-01-31 Allmaenna Svenska Elek Ska Ab SELF-ADJUSTING REGULATOR

Also Published As

Publication number Publication date
NO790576L (en) 1979-08-24
FI72215C (en) 1987-04-13
DK68679A (en) 1979-08-24
DE2905525A1 (en) 1979-09-06
GB2015771B (en) 1982-08-18
FI72215B (en) 1986-12-31
NO156345B (en) 1987-05-25
SE7802097L (en) 1979-08-24
FI790565A (en) 1979-08-24
NO156345C (en) 1987-09-02
DK148853C (en) 1986-04-21
DK148853B (en) 1985-10-28
CA1142590A (en) 1983-03-08
DE2905525C2 (en) 1991-02-28
GB2015771A (en) 1979-09-12

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