This is a copy of the Reference Standard PID controller ala controlguru.com
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Revision 3:316f974b7f98, committed 2016-02-07
- Comitter:
- unix_guru
- Date:
- Sun Feb 07 19:06:37 2016 +0000
- Parent:
- 2:55bf0f813bb4
- Commit message:
- Moved from Double to Floating point PID library
Changed in this revision
PID.cpp | Show annotated file Show diff for this revision Revisions of this file |
PID.h | Show annotated file Show diff for this revision Revisions of this file |
diff -r 55bf0f813bb4 -r 316f974b7f98 PID.cpp --- a/PID.cpp Wed Jan 27 21:32:11 2016 +0000 +++ b/PID.cpp Sun Feb 07 19:06:37 2016 +0000 @@ -1,10 +1,9 @@ /** - * @author Aaron Berk + * Arduino PID Library - Version 1.1.1 + * @author Brett Beauregard <br3ttb@gmail.com> brettbeauregard.com * * @section LICENSE * - * Copyright (c) 2010 ARM Limited - * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights @@ -30,7 +29,7 @@ * * This library is a port of Brett Beauregard's Arduino PID library: * - * http://www.arduino.cc/playground/Code/PIDLibrary + * https://github.com/br3ttb/Arduino-PID-Library * * The wikipedia article on PID controllers is a good place to start on * understanding how they work: @@ -48,290 +47,189 @@ * Includes */ #include "PID.h" - -PID::PID(float Kc, float tauI, float tauD, float interval) { - - usingFeedForward = false; - inAuto = false; - - //Default the limits to the full range of I/O: 3.3V - //Make sure to set these to more appropriate limits for - //your application. - setInputLimits(0.0, 3.3); - setOutputLimits(0.0, 3.3); - - tSample_ = interval; - - setTunings(Kc, tauI, tauD); - - setPoint_ = 0.0; - processVariable_ = 0.0; - prevProcessVariable_ = 0.0; - controllerOutput_ = 0.0; - prevControllerOutput_ = 0.0; - - accError_ = 0.0; - bias_ = 0.0; - - realOutput_ = 0.0; - -} - -void PID::setInputLimits(float inMin, float inMax) { +#include "millis/millis.h" - //Make sure we haven't been given impossible values. - if (inMin >= inMax) { - return; - } - - //Rescale the working variables to reflect the changes. - prevProcessVariable_ *= (inMax - inMin) / inSpan_; - accError_ *= (inMax - inMin) / inSpan_; - - //Make sure the working variables are within the new limits. - if (prevProcessVariable_ > 1) { - prevProcessVariable_ = 1; - } else if (prevProcessVariable_ < 0) { - prevProcessVariable_ = 0; - } - - inMin_ = inMin; - inMax_ = inMax; - inSpan_ = inMax - inMin; - -} - -void PID::setOutputLimits(float outMin, float outMax) { - - //Make sure we haven't been given impossible values. - if (outMin >= outMax) { - return; - } - - //Rescale the working variables to reflect the changes. - prevControllerOutput_ *= (outMax - outMin) / outSpan_; - - //Make sure the working variables are within the new limits. - if (prevControllerOutput_ > 1) { - prevControllerOutput_ = 1; - } else if (prevControllerOutput_ < 0) { - prevControllerOutput_ = 0; - } +extern Serial pc; - outMin_ = outMin; - outMax_ = outMax; - outSpan_ = outMax - outMin; - -} - -void PID::setTunings(float Kc, float tauI, float tauD) { - - //Verify that the tunings make sense. - if (Kc == 0.0 || tauI < 0.0 || tauD < 0.0) { - return; - } - - //Store raw values to hand back to user on request. - pParam_ = Kc; - iParam_ = tauI; - dParam_ = tauD; - - float tempTauR; - - if (tauI == 0.0) { - tempTauR = 0.0; - } else { - tempTauR = (1.0 / tauI) * tSample_; - } - - //For "bumpless transfer" we need to rescale the accumulated error. - if (inAuto) { - if (tempTauR == 0.0) { - accError_ = 0.0; - } else { - accError_ *= (Kc_ * tauR_) / (Kc * tempTauR); - } - } - - Kc_ = Kc; - tauR_ = tempTauR; - tauD_ = tauD / tSample_; - -} - -void PID::reset(void) { - - float scaledBias = 0.0; - - if (usingFeedForward) { - scaledBias = (bias_ - outMin_) / outSpan_; - } else { - scaledBias = (realOutput_ - outMin_) / outSpan_; - } - - prevControllerOutput_ = scaledBias; - prevProcessVariable_ = (processVariable_ - inMin_) / inSpan_; - - //Clear any error in the integral. - accError_ = 0; - -} - -void PID::setMode(int mode) { - - //We were in manual, and we just got set to auto. - //Reset the controller internals. - if (mode != 0 && !inAuto) { - reset(); - } - - inAuto = (mode != 0); - + +/*Constructor (...)********************************************************* + * The parameters specified here are those for for which we can't set up + * reliable defaults, so we need to have the user set them. + ***************************************************************************/ +PID::PID(float* Input, float* Output, float* Setpoint, + float Kp, float Ki, float Kd, int ControllerDirection) +{ + + myOutput = Output; + myInput = Input; + mySetpoint = Setpoint; + inAuto = false; + + PID::SetOutputLimits(0, 1000); // default output limit corresponds to + // the arduino pwm limits + SampleTime = 100; // default Controller Sample Time is 0.1 seconds + + PID::SetControllerDirection(ControllerDirection); + PID::SetTunings(Kp, Ki, Kd); + + lastTime = millis()-SampleTime; } -void PID::setInterval(float interval) { - if (interval > 0) { - //Convert the time-based tunings to reflect this change. - tauR_ *= (interval / tSample_); - accError_ *= (tSample_ / interval); - tauD_ *= (interval / tSample_); - tSample_ = interval; - } +/* Compute() ********************************************************************** + * This, as they say, is where the magic happens. this function should be called + * every time "void loop()" executes. the function will decide for itself whether a new + * pid Output needs to be computed. returns true when the output is computed, + * false when nothing has been done. + **********************************************************************************/ +bool PID::Compute() +{ + if(!inAuto) return false; + unsigned long now = millis(); + unsigned long timeChange = (now - lastTime); + if(timeChange>=SampleTime) + { + /*Compute all the working error variables*/ + float input = *myInput; + float error = *mySetpoint - input; + ITerm+= (ki * error); + if(ITerm > outMax) ITerm= outMax; + else if(ITerm < outMin) ITerm= outMin; + float dInput = (input - lastInput); +// pc.printf("Input = %f, Error = %f, Output = %f, SetPoint = %f\n\r",input,error,output,*mySetpoint); -} - -void PID::setSetPoint(float sp) { + /*Compute PID Output*/ + float output = kp * error + ITerm- kd * dInput; +// pc.printf("Input = %f, Error = %f, Output = %f, SetPoint = %f\n\r",input,error,output,*mySetpoint); + + if(output > outMax) output = outMax; + else if(output < outMin) output = outMin; + *myOutput = output; - setPoint_ = sp; - + /*Remember some variables for next time*/ + lastInput = input; + lastTime = now; + return true; + } + else return false; } - -void PID::setProcessValue(float pv) { - - processVariable_ = pv; + + +/* SetTunings(...)************************************************************* + * This function allows the controller's dynamic performance to be adjusted. + * it's called automatically from the constructor, but tunings can also + * be adjusted on the fly during normal operation + ******************************************************************************/ +void PID::SetTunings(float Kp, float Ki, float Kd) +{ + if (Kp<0 || Ki<0 || Kd<0) return; -} - -void PID::setBias(float bias){ + dispKp = Kp; dispKi = Ki; dispKd = Kd; + + float SampleTimeInSec = ((float)SampleTime)/1000; + kp = Kp; + ki = Ki * SampleTimeInSec; + kd = Kd / SampleTimeInSec; - bias_ = bias; - usingFeedForward = 1; - + if(controllerDirection ==REVERSE) + { + kp = (0 - kp); + ki = (0 - ki); + kd = (0 - kd); + } +} + +/* SetSampleTime(...) ********************************************************* + * sets the period, in Milliseconds, at which the calculation is performed + ******************************************************************************/ +void PID::SetSampleTime(int NewSampleTime) +{ + if (NewSampleTime > 0) + { + float ratio = (float)NewSampleTime + / (float)SampleTime; + ki *= ratio; + kd /= ratio; + SampleTime = (unsigned long)NewSampleTime; + } } -float PID::compute() { - - //Pull in the input and setpoint, and scale them into percent span. - float scaledPV = (processVariable_ - inMin_) / inSpan_; - - if (scaledPV > 1.0) { - scaledPV = 1.0; - } else if (scaledPV < 0.0) { - scaledPV = 0.0; - } - - float scaledSP = (setPoint_ - inMin_) / inSpan_; - if (scaledSP > 1.0) { - scaledSP = 1; - } else if (scaledSP < 0.0) { - scaledSP = 0; - } - - float error = scaledSP - scaledPV; - - //Check and see if the output is pegged at a limit and only - //integrate if it is not. This is to prevent reset-windup. - if (!(prevControllerOutput_ >= 1 && error > 0) && !(prevControllerOutput_ <= 0 && error < 0)) { - accError_ += error; - } +/* SetOutputLimits(...)**************************************************** + * This function will be used far more often than SetInputLimits. while + * the input to the controller will generally be in the 0-1023 range (which is + * the default already,) the output will be a little different. maybe they'll + * be doing a time window and will need 0-8000 or something. or maybe they'll + * want to clamp it from 0-125. who knows. at any rate, that can all be done + * here. + **************************************************************************/ +void PID::SetOutputLimits(float Min, float Max) +{ + if(Min >= Max) return; + outMin = Min; + outMax = Max; - //Compute the current slope of the input signal. - float dMeas = (scaledPV - prevProcessVariable_) / tSample_; - - float scaledBias = 0.0; - - if (usingFeedForward) { - scaledBias = (bias_ - outMin_) / outSpan_; + if(inAuto) + { + if(*myOutput > outMax) *myOutput = outMax; + else if(*myOutput < outMin) *myOutput = outMin; + + if(ITerm > outMax) ITerm= outMax; + else if(ITerm < outMin) ITerm= outMin; + } +} + +/* SetMode(...)**************************************************************** + * Allows the controller Mode to be set to manual (0) or Automatic (non-zero) + * when the transition from manual to auto occurs, the controller is + * automatically initialized + ******************************************************************************/ +void PID::SetMode(int Mode) +{ + bool newAuto = (Mode == AUTOMATIC); + if(newAuto == !inAuto) + { /*we just went from manual to auto*/ + PID::Initialize(); } - - //Perform the PID calculation. - controllerOutput_ = scaledBias + Kc_ * (error + (tauR_ * accError_) - (tauD_ * dMeas)); - - //Make sure the computed output is within output constraints. - if (controllerOutput_ < 0.0) { - controllerOutput_ = 0.0; - } else if (controllerOutput_ > 1.0) { - controllerOutput_ = 1.0; - } - - //Remember this output for the windup check next time. - prevControllerOutput_ = controllerOutput_; - //Remember the input for the derivative calculation next time. - prevProcessVariable_ = scaledPV; - - //Scale the output from percent span back out to a real world number. - return ((controllerOutput_ * outSpan_) + outMin_); - + inAuto = newAuto; } -float PID::getInMin() { - - return inMin_; - -} - -float PID::getInMax() { - - return inMax_; - -} - -float PID::getOutMin() { - - return outMin_; - -} - -float PID::getOutMax() { - - return outMax_; - -} - -float PID::getInterval() { - - return tSample_; - +/* Initialize()**************************************************************** + * does all the things that need to happen to ensure a bumpless transfer + * from manual to automatic mode. + ******************************************************************************/ +void PID::Initialize() +{ + ITerm = *myOutput; + lastInput = *myInput; + if(ITerm > outMax) ITerm = outMax; + else if(ITerm < outMin) ITerm = outMin; } - -float PID::getPParam() { - - return pParam_; - -} - -float PID::getIParam() { - - return iParam_; - + +/* SetControllerDirection(...)************************************************* + * The PID will either be connected to a DIRECT acting process (+Output leads + * to +Input) or a REVERSE acting process(+Output leads to -Input.) we need to + * know which one, because otherwise we may increase the output when we should + * be decreasing. This is called from the constructor. + ******************************************************************************/ +void PID::SetControllerDirection(int Direction) +{ + if(inAuto && Direction !=controllerDirection) + { + kp = (0 - kp); + ki = (0 - ki); + kd = (0 - kd); + } + controllerDirection = Direction; } - -float PID::getDParam() { - - return dParam_; - -} - - - - - - - +/* Status Funcions************************************************************* + * Just because you set the Kp=-1 doesn't mean it actually happened. these + * functions query the internal state of the PID. they're here for display + * purposes. this are the functions the PID Front-end uses for example + ******************************************************************************/ +float PID::GetKp(){ return dispKp; } +float PID::GetKi(){ return dispKi;} +float PID::GetKd(){ return dispKd;} +int PID::GetMode(){ return inAuto ? AUTOMATIC : MANUAL;} +int PID::GetDirection(){ return controllerDirection;} - - - -
diff -r 55bf0f813bb4 -r 316f974b7f98 PID.h --- a/PID.h Wed Jan 27 21:32:11 2016 +0000 +++ b/PID.h Sun Feb 07 19:06:37 2016 +0000 @@ -1,5 +1,5 @@ /** - * @author Aaron Berk + * @author Brett Beauregard * * @section LICENSE * @@ -30,7 +30,7 @@ * * This library is a port of Brett Beauregard's Arduino PID library: * - * http://www.arduino.cc/playground/Code/PIDLibrary + * https://github.com/br3ttb/Arduino-PID-Library * * The wikipedia article on PID controllers is a good place to start on * understanding how they work: @@ -44,8 +44,6 @@ * http://www.controlguru.com/ */ -#ifndef PID_H -#define PID_H /** * Includes @@ -55,172 +53,85 @@ /** * Defines */ -#define MANUAL_MODE 0 -#define AUTO_MODE 1 -/** - * Proportional-integral-derivative controller. - */ -class PID { - -public: - - /** - * Constructor. - * - * Sets default limits [0-3.3V], calculates tuning parameters, and sets - * manual mode with no bias. - * - * @param Kc - Tuning parameter - * @param tauI - Tuning parameter - * @param tauD - Tuning parameter - * @param interval PID calculation performed every interval seconds. - */ - PID(float Kc, float tauI, float tauD, float interval); - - /** - * Scale from inputs to 0-100%. - * - * @param InMin The real world value corresponding to 0%. - * @param InMax The real world value corresponding to 100%. - */ - void setInputLimits(float inMin , float inMax); - - /** - * Scale from outputs to 0-100%. - * - * @param outMin The real world value corresponding to 0%. - * @param outMax The real world value corresponding to 100%. - */ - void setOutputLimits(float outMin, float outMax); - - /** - * Calculate PID constants. - * - * Allows parameters to be changed on the fly without ruining calculations. - * - * @param Kc - Tuning parameter - * @param tauI - Tuning parameter - * @param tauD - Tuning parameter - */ - void setTunings(float Kc, float tauI, float tauD); - - /** - * Reinitializes controller internals. Automatically - * called on a manual to auto transition. - */ - void reset(void); - - /** - * Set PID to manual or auto mode. - * - * @param mode 0 -> Manual - * Non-zero -> Auto - */ - void setMode(int mode); - - /** - * Set how fast the PID loop is run. - * - * @param interval PID calculation peformed every interval seconds. - */ - void setInterval(float interval); - - /** - * Set the set point. - * - * @param sp The set point as a real world value. - */ - void setSetPoint(float sp); - - /** - * Set the process value. - * - * @param pv The process value as a real world value. - */ - void setProcessValue(float pv); - - /** - * Set the bias. - * - * @param bias The bias for the controller output. - */ - void setBias(float bias); - - /** - * PID calculation. - * - * @return The controller output as a float between outMin and outMax. - */ - float compute(void); - - //Getters. - float getInMin(); - float getInMax(); - float getOutMin(); - float getOutMax(); - float getInterval(); - float getPParam(); - float getIParam(); - float getDParam(); - -private: - - bool usingFeedForward; - bool inAuto; - - //Actual tuning parameters used in PID calculation. - float Kc_; - float tauR_; - float tauD_; - - //Raw tuning parameters. - float pParam_; - float iParam_; - float dParam_; - - //The point we want to reach. - float setPoint_; - //The thing we measure. - float processVariable_; - float prevProcessVariable_; - //The output that affects the process variable. - float controllerOutput_; - float prevControllerOutput_; - - //We work in % for calculations so these will scale from - //real world values to 0-100% and back again. - float inMin_; - float inMax_; - float inSpan_; - float outMin_; - float outMax_; - float outSpan_; - - //The accumulated error, i.e. integral. - float accError_; - //The controller output bias. - float bias_; - - //The interval between samples. - float tSample_; - - //Controller output as a real world value. - volatile float realOutput_; - -}; - -#endif /* PID_H */ - - +#ifndef PID_H +#define PID_H + +#define LIBRARY_VERSION 1.1.1 + +class PID +{ - + public: + + //Constants used in some of the functions below + #define AUTOMATIC 1 + #define MANUAL 0 + #define DIRECT 0 + #define REVERSE 1 + //commonly used functions ************************************************************************** + PID(float*, float*, float*, // * constructor. links the PID to the Input, Output, and + float, float, float, int); // Setpoint. Initial tuning parameters are also set here + + void SetMode(int Mode); // * sets PID to either Manual (0) or Auto (non-0) + bool Compute(); // * performs the PID calculation. it should be + // called every time loop() cycles. ON/OFF and + // calculation frequency can be set using SetMode + // SetSampleTime respectively + + void SetOutputLimits(float, float); //clamps the output to a specific range. 0-1.0 by default, but + //it's likely the user will want to change this depending on + //the application - + //available but not commonly used functions ******************************************************** + void SetTunings(float, float, // * While most users will set the tunings once in the + float); // constructor, this function gives the user the option + // of changing tunings during runtime for Adaptive control + void SetControllerDirection(int); // * Sets the Direction, or "Action" of the controller. DIRECT + // means the output will increase when error is positive. REVERSE + // means the opposite. it's very unlikely that this will be needed + // once it is set in the constructor. + void SetSampleTime(int); // * sets the frequency, in Milliseconds, with which + // the PID calculation is performed. default is 100 + + + + //Display functions **************************************************************** + float GetKp(); // These functions query the pid for interal values. + float GetKi(); // they were created mainly for the pid front-end, + float GetKd(); // where it's important to know what is actually + int GetMode(); // inside the PID. + int GetDirection(); // + private: + void Initialize(); + + float dispKp; // * we'll hold on to the tuning parameters in user-entered + float dispKi; // format for display purposes + float dispKd; // + + float kp; // * (P)roportional Tuning Parameter + float ki; // * (I)ntegral Tuning Parameter + float kd; // * (D)erivative Tuning Parameter + int controllerDirection; + + float *myInput; // * Pointers to the Input, Output, and Setpoint variables + float *myOutput; // This creates a hard link between the variables and the + float *mySetpoint; // PID, freeing the user from having to constantly tell us + // what these values are. with pointers we'll just know. + + unsigned long lastTime; + float ITerm, lastInput; + + unsigned long SampleTime; + float outMin, outMax; + bool inAuto; +}; +#endif +