source: branches/gui/eml/controllers/PIDs.mso @ 911

Last change on this file since 911 was 909, checked in by Argimiro Resende Secchi, 13 years ago

Starting checking new EML.
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[1]1#*-------------------------------------------------------------------
[74]2* EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC.
3*
4* This LIBRARY is free software; you can distribute it and/or modify
5* it under the therms of the ALSOC FREE LICENSE as available at
6* http://www.enq.ufrgs.br/alsoc.
7*
8* EMSO Copyright (C) 2004 - 2007 ALSOC, original code
9* from http://www.rps.eng.br Copyright (C) 2002-2004.
10* All rights reserved.
11*
12* EMSO is distributed under the therms of the ALSOC LICENSE as
13* available at http://www.enq.ufrgs.br/alsoc.
[1]14*--------------------------------------------------------------------
15* Author: Tiago Osório
16* $Id: PIDs.mso 909 2010-02-19 21:08:11Z arge $
17*-------------------------------------------------------------------*#
18using "types";
19
20
[683]21Model PID
22
[295]23ATTRIBUTES
[683]24        Pallete         = true;
25        Icon            = "icon/PID";
[1]26
[683]27PARAMETERS
[1]28
[683]29        PID_Select      as Switcher     (Brief="Type of PID Incremental", Valid=["Ideal","Parallel","Series","Ideal_AWBT","Parallel_AWBT","Series_AWBT","Ideal_AW","Parallel_AW","Series_AW"], Default = "Ideal");
[909]30        Action          as Switcher     (Brief="Controller action", Valid=["Direct","Reverse"], Default = "Reverse");
31        Mode            as Switcher     (Brief="Controller mode", Valid=["Automatic","Manual"], Default = "Automatic");
32        Clip            as Switcher     (Brief="Controller mode", Valid=["Clipped","Unclipped"], Default = "Clipped");
[683]33
[909]34        alpha           as positive             (Brief="Derivative term filter constant", Default=1);
35        beta            as positive             (Brief="Proportional term setPoint change filter");
36        bias            as control_signal       (Brief="Previous scaled bias", Default=0.5);
37        derivTime       as time_sec             (Brief="Derivative time constant");
38        intTime         as time_sec             (Brief="Integral time constant");
39        gain            as positive             (Brief="Controller gain", Default=0.5);
40        gamma           as positive             (Brief="Derivative term SP change filter");
41        tau             as time_sec             (Brief="Input filter time constant");
42        tauSet          as time_sec             (Brief="Input filter time constant");
43        MinInput        as control_signal       (Default=0);
[683]44        MaxInput        as control_signal       (Default=1000);
[909]45        MinOutput       as control_signal       (Default=0);
46        MaxOutput       as control_signal       (Default=1);
47
[683]48VARIABLES
[909]49in      Input           as control_signal       (Protected=true, PosX=0, PosY=0.5);
50out     Output          as control_signal       (Protected=true, PosX=0.54, PosY=1);
51        SetPoint        as control_signal;
[683]52
53#++++++++++++++++++++ PID Internal Variables ++++++++++++++++++++++++++++++++
54        PID_derivTerm   as control_signal       (Brief="Derivative term", Hidden =true , Default=0);
[909]55        PID_dFilt       as control_signal       (Brief="Derivative term filtered", Hidden =true ,Default=0.5);
56        PID_error       as control_signal       (Brief="Error definition for proportional term",Hidden =true );
[683]57        PID_errorD      as control_signal       (Brief="Error definition for derivative term", Hidden =true );
[909]58        PID_errorI      as control_signal       (Brief="Error definition for integral term", Hidden =true);
59        PID_inputFilt   as control_signal       (Brief="Filtered input", Hidden =true);
[683]60        PID_intTerm     as control_signal       (Brief="Integral term", Hidden =true , Default=0);
[909]61        PID_outp        as control_signal       (Brief="Sum of proportional, integral and derivative terms", Hidden =true );
62        PID_outps       as control_signal       (Brief="Variable outp scaled between -1 and 1",Hidden =true);
[683]63        PID_propTerm    as control_signal       (Brief="Proportional term", Default=0 , Hidden =true );
[909]64        PID_setPointFilt  as control_signal (Brief="Filtered setPoint", Default=0, Hidden =true);
65        PID_AWFactor    as Real                 (Brief="Integral term multiplier used in anti-reset windup", Hidden=true);
66        PID_action      as Real                         (Protected=true, Hidden=true);
[295]67       
[683]68        PID_input       as control_signal       (Brief="Previous scaled input signal", Default=0.5, Hidden=true);
69        PID_output      as control_signal       (Brief="Scaled output signal", Default=0.5, Hidden=true);
[909]70        PID_setPoint    as control_signal       (Brief="Scaled setPoint",Default=0.5, Hidden=true);
[683]71#++++++++++++++++++++++++++++++++++++++++++++++++++++
[1]72
[683]73EQUATIONS
[1]74
[683]75"Input "
76        PID_input*(MaxInput - MinInput) = Input - MinInput;
[1]77
[683]78"Output "
[909]79        Output = PID_output*(MaxOutput - MinOutput) + MinOutput;
[683]80       
81"Set Point "
82        PID_setPoint*(MaxInput - MinInput) = SetPoint - MinInput;
[1]83
[683]84INITIAL
[295]85
[683]86        PID_intTerm = 0;
[295]87       
[683]88        diff(PID_dFilt) = 0/'s';
[295]89       
[683]90        diff(PID_inputFilt) = 0/'s';
[1]91       
[683]92        diff(PID_setPointFilt) = 0/'s';
[295]93       
[1]94        EQUATIONS
95
[909]96        if (tau < 1e-3*'s') then
[1]97                "Input first order filter"
[683]98                (tau + 1e-3*'s')*diff(PID_inputFilt)= PID_input - PID_inputFilt;
[1]99        else
100                "Input first order filter"
[683]101                tau*diff(PID_inputFilt)= PID_input - PID_inputFilt;     
[1]102        end
103
[909]104        if (tauSet < 1e-3*'s') then
[1]105                "setPoint first order filter"
[683]106                (tauSet + 1e-3*'s')*diff(PID_setPointFilt)= PID_setPoint - PID_setPointFilt;
[1]107        else
108                "setPoint first order filter"
[683]109                tauSet*diff(PID_setPointFilt)= PID_setPoint - PID_setPointFilt;
[1]110        end
111       
[558]112        switch Mode
113        case "Manual":
[1]114                "Error definition for proportional term"
[683]115                PID_error = PID_inputFilt*(beta-1.0);
[1]116                "Error definition for derivative term"
[683]117                PID_errorD= PID_inputFilt*(gamma-1.0);
[1]118                "Error definition for integral term"           
[683]119                PID_errorI= 0;
[558]120        case "Automatic":
[1]121                "Error definition for proportional term"                       
[683]122                PID_error = beta*PID_setPointFilt - PID_inputFilt;
[1]123                "Error definition for derivative term"
[683]124                PID_errorD = gamma*PID_setPointFilt - PID_inputFilt;
[1]125                "Error definition for integral term"
[683]126                PID_errorI = PID_setPointFilt-PID_inputFilt;
[1]127        end
128       
129        "Calculate proportional term"
[683]130        PID_propTerm=PID_error;
[1]131       
[909]132        if (derivTime < 1e-3*'s') then
[1]133                "Derivative term filter"       
[683]134                alpha*(derivTime + 1e-3*'s')*diff(PID_dFilt) = PID_errorD - PID_dFilt;
[1]135        else
136                "Derivative term filter"       
[683]137                alpha*(derivTime)*diff(PID_dFilt) = PID_errorD - PID_dFilt;
[1]138        end
139
140        "Calculate derivative term"
[683]141        PID_derivTerm = derivTime*diff(PID_dFilt);
[1]142       
143        "Scale outp"
[683]144        PID_outps=2*PID_outp-1;
[1]145       
[558]146        switch Clip
147        case "Clipped":
[683]148                if abs(PID_outps)>1 then
[909]149                        "Calculate clipped output when saturated"
150                        PID_output=(sign(PID_outps)+1)/2;
[1]151                else
[909]152                        "Calculate clipped output when not saturated"
[683]153                        PID_output=PID_outp;
[1]154                end
[558]155        case "Unclipped":
[1]156                "Calculate unclipped output"
[683]157                PID_output=PID_outp;
[1]158        end
159
[558]160        switch Action
161        case "Direct":
[683]162                PID_action = -1.0;
[558]163        case "Reverse":
[683]164                PID_action = 1.0;
[558]165        end
166
167
[295]168switch PID_Select
[1]169       
[295]170case "Ideal_AW":
[1]171       
172        "Calculate integral term with anti-windup"
[683]173        intTime*diff(PID_intTerm) = PID_AWFactor*PID_errorI;
[1]174       
175        "Sum of proportional, integral and derivative terms"
[683]176        PID_outp = bias + PID_action*gain*(PID_propTerm + PID_intTerm + PID_derivTerm);
[1]177
[683]178        if abs(PID_outps)>1 and (PID_action*sign(PID_outps)*PID_errorI)>0 then
[1]179                "Calculate AWFactor"
[683]180                PID_AWFactor=-tanh(sign(PID_outps)*PID_outps*100-102);
[1]181        else
182                "Calculate AWFactor"
[683]183                PID_AWFactor=1;
[1]184        end
185
[295]186case "Parallel_AW":
[1]187       
188        "Calculate integral term with anti-windup"
[683]189        intTime*diff(PID_intTerm) = PID_AWFactor*PID_errorI;
[1]190       
191        "Sum of proportional, integral and derivative terms"
[683]192        PID_outp = bias + PID_action*(gain*PID_propTerm + PID_intTerm + PID_derivTerm);
[1]193
[683]194        if abs(PID_outps)>1 and (PID_action*sign(PID_outps)*PID_errorI)>0 then
[1]195                "Calculate AWFactor"
[683]196                PID_AWFactor=-tanh(sign(PID_outps)*PID_outps*100-102);
[1]197        else
198                "Calculate AWFactor"
[683]199                PID_AWFactor=1;
[1]200        end
201
[295]202
203case "Series_AW":
204
[1]205        "Calculate integral term with anti-windup"     
[683]206        intTime*diff(PID_intTerm) = PID_AWFactor*PID_errorI;
[1]207       
208        "Sum of proportional, integral and derivative terms"
[683]209        PID_outp = bias + PID_action*(gain*(PID_propTerm + PID_intTerm)*(1 + PID_derivTerm));
[1]210
[683]211        if abs(PID_outps)>1 and (PID_action*sign(PID_outps)*PID_errorI)>0 then
[1]212                "Calculate AWFactor"           
[683]213                PID_AWFactor=-tanh(sign(PID_outps)*PID_outps*100-102);
[1]214        else
215                "Calculate AWFactor"
[683]216                PID_AWFactor=1;
[1]217        end
218
[295]219case "Ideal":
[1]220       
221        "Calculate integral term"       
[683]222        intTime*diff(PID_intTerm) = PID_errorI;
[1]223       
224        "Sum of proportional, integral and derivative terms"   
[683]225        PID_outp = bias + PID_action*gain*(PID_propTerm + PID_intTerm + PID_derivTerm);
[1]226
[295]227        "Calculate AWFactor - Not in use in this mode"
[683]228        PID_AWFactor=1;
[1]229       
[295]230case "Parallel":
[1]231       
232        "Calculate integral term"       
[683]233        intTime*diff(PID_intTerm) = PID_errorI;
[1]234       
235        "Sum of proportional, integral and derivative terms"   
[683]236        PID_outp = bias + PID_action*(gain*PID_propTerm + PID_intTerm + PID_derivTerm);
[1]237
[295]238        "Calculate AWFactor - Not in use in this mode"
[683]239        PID_AWFactor=1;
[1]240       
[295]241case "Series":
[1]242       
243        "Calculate integral term"       
[683]244        intTime*diff(PID_intTerm) = PID_errorI;
[1]245       
246        "Sum of proportional, integral and derivative terms"
[683]247        PID_outp = bias + PID_action*(gain*(PID_propTerm + PID_intTerm)*(1 + PID_derivTerm));
[1]248       
[295]249        "Calculate AWFactor - Not in use in this mode"
[683]250        PID_AWFactor=1;
[1]251       
[295]252case "Ideal_AWBT":
253       
[1]254        "Calculate integral term with anti-windup and bumpless transfer"       
[683]255        PID_action*gain*(intTime*diff(PID_intTerm)-PID_errorI) = PID_output-PID_outp;   
[1]256       
257        "Sum of proportional, integral and derivative terms"   
[683]258        PID_outp = bias + PID_action*gain*(PID_propTerm + PID_intTerm + PID_derivTerm);
[1]259       
[295]260        "Calculate AWFactor - Not in use in this mode"
[683]261        PID_AWFactor=1;
[1]262       
[295]263case "Parallel_AWBT":
264       
[1]265        "Calculate integral term with anti-windup and bumpless transfer"       
[683]266        PID_action*gain*(intTime*diff(PID_intTerm)-PID_errorI) = PID_output-PID_outp;   
[1]267       
268        "Sum of proportional, integral and derivative terms"   
[683]269        PID_outp = bias + PID_action*(gain*PID_propTerm + PID_intTerm + PID_derivTerm);
[1]270       
[295]271        "Calculate AWFactor - Not in use in this mode"
[683]272        PID_AWFactor=1;
[1]273       
[295]274case "Series_AWBT":
275       
[1]276        "Calculate integral term with anti-windup and bumpless transfer"
[683]277        PID_action*gain*(intTime*diff(PID_intTerm)-PID_errorI) = PID_output-PID_outp;   
[1]278       
279        "Sum of proportional, integral and derivative terms"
[683]280        PID_outp = bias + PID_action*(gain*(PID_propTerm + PID_intTerm)*(1 + PID_derivTerm));
[1]281
[295]282        "Calculate AWFactor - Not in use in this mode"
[683]283        PID_AWFactor=1;
[295]284       
[1]285end
[295]286
287end
[558]288
289Model FirstOrder
290        ATTRIBUTES
[771]291        Pallete         = false;
[558]292        Icon            = "icon/PIDIncr";
293
294        PARAMETERS
295        tau    as Real (Brief="Time Constant", Unit = 's', Default=4);
296        A      as Real (Unit='1/s');
297        B      as Real (Unit='1/s');
298        C      as Real;
299        D      as Real(Default=0);
300
301        VARIABLES
302        x as control_signal(Brief="State");
303in      u as control_signal(Brief="Input signal", PosX=0, PosY=0.5);
304out     y as control_signal(Brief="Output signal", PosX=1, PosY=0.5);
305
306        EQUATIONS
307        diff(x) = A*x + B*u;
308        y = C*x + D*u;
309end
310
311Model StepSignal
312        ATTRIBUTES
313        Pallete         = true;
[590]314        Icon            = "icon/StepSignal";
[558]315
316        PARAMETERS
317        StepTime as positive(Unit='s');
318        StartValue as control_signal;
319        FinalValue as control_signal;
320       
321        VARIABLES
[591]322out     OutSignal as control_signal(PosX=1, PosY=0.5);
[558]323
324        EQUATIONS
325        if(time < StepTime) then
326                OutSignal = StartValue;
327        else
328                OutSignal = FinalValue;
329        end
330end
331
332Model ConstantSignal
333        ATTRIBUTES
334        Pallete         = true;
[589]335        Icon            = "icon/ConstSignal";
[558]336
337        PARAMETERS
338        Value as control_signal;
339       
340        VARIABLES
[591]341out     OutSignal as control_signal(PosX=1, PosY=0.5);
[558]342
343        EQUATIONS
344        OutSignal = Value;
345end
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