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/* | ||
DemoTimedPID.ino | ||
Source: https://github.com/DrGFreeman/TimedPID | ||
MIT License | ||
Copyright (c) 2017 Julien de la Bruere-Terreault <[email protected]> | ||
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 | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. | ||
*/ | ||
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/* | ||
This example demonstrates how to use the TimedPID class to control the speed of | ||
a mass subject to inertial and drag forces by controlling the force applied to | ||
the mass. The controller reacts to changes in the desired speed. | ||
The getCmdStep() is used as the time step is calculated in the main loop and | ||
used to calculate the speed of the mass. | ||
*/ | ||
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#include <TimedPID.h> | ||
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// Define the PID controller proportional, integral and derivative gains | ||
float Kp = 10.0; | ||
float Ki = 0.15; | ||
float Kd = 5.0; | ||
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// Create a TimedPID object instance | ||
TimedPID pid(Kp, Ki, Kd); | ||
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float speed = 0; | ||
float accel = 0; | ||
float force = 0; | ||
float fDrag = 0; | ||
float mass = 0.2; | ||
// Initialize the mass system variables | ||
float speed = 0; // the speed of the mass | ||
float accel = 0; // the acceleration of the mass | ||
float fDrag = 0; // the drag force on the mass | ||
float mass = 0.2; // the mass value | ||
float force; // the force applied to the mass by the control system | ||
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// Define the maximum force the system can apply | ||
float fMax = 300; | ||
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// Variables used for set point control and time step calculation | ||
unsigned long initialTime; | ||
unsigned long lastTime; | ||
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void setup() { | ||
// Open Serial communication and wait for monitor to be opened | ||
Serial.begin(9600); | ||
while(!Serial); | ||
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// Set the PID controller command range | ||
pid.setCmdRange(-fMax, fMax); | ||
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// Initialize time variables | ||
initialTime = micros(); | ||
lastTime = initialTime; | ||
delay(1); | ||
} | ||
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void loop() { | ||
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// Calculate the time step between passes of the main loop | ||
// Get current time | ||
unsigned long currentTime = micros(); | ||
// Calculate time step in seconds (micro seconds / 1 000 000) | ||
float timeStep = float(currentTime - lastTime) / 1E6; | ||
// Store current time as last time for next pass of the loop | ||
lastTime = currentTime; | ||
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// Define the target speed as function of time | ||
float targetSpeed = 0; | ||
if (currentTime - initialTime > 8E6){ | ||
// Reset initial time | ||
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@@ -48,22 +99,30 @@ void loop() { | |
else if (currentTime - initialTime > 3E6) { | ||
targetSpeed = 200; | ||
} | ||
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// Add continuous variation of the target speed | ||
targetSpeed += 5 * sin(micros() / 2.5E5); | ||
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// Calculate drag force proportional to speed squared | ||
fDrag = .003 * speed * speed; | ||
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// Get the system command from the PID based on target speed and current speed | ||
force = pid.getCmd(targetSpeed, speed); | ||
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// Calculate mass acceleration using Newton's third law (f=ma -> a=f/m) | ||
accel = (force - fDrag) / mass; | ||
// Update mass speed based on acceleration and time step | ||
speed += accel * timeStep; | ||
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// Print target speed, force command and mass speed to Serial port | ||
Serial.print(targetSpeed); | ||
Serial.print("\t"); | ||
//Serial.print(force); | ||
//Serial.print("\t"); | ||
Serial.print(force); | ||
Serial.print("\t"); | ||
Serial.println(speed); | ||
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// Ensure a constant time step of the main loop (10 milliseconds) | ||
while (micros() - currentTime < 10000) | ||
{ | ||
// Wait until time step is reached | ||
} | ||
} | ||
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