#!/usr/bin/env python3 # # Copyright (c) FIRST and other WPILib contributors. # Open Source Software; you can modify and/or share it under the terms of # the WPILib BSD license file in the root directory of this project. # import math import wpilib import wpimath.units import wpimath kMotorPort = 0 kEncoderAChannel = 0 kEncoderBChannel = 1 kJoystickPort = 0 kRaisedPosition = wpimath.units.degreesToRadians(90.0) kLoweredPosition = wpimath.units.degreesToRadians(0.0) # Moment of inertia of the arm, in kg * m^2. Can be estimated with CAD. If finding this constant # is difficult, LinearSystem.identifyPositionSystem may be better. kArmMOI = 1.2 # Reduction between motors and encoder, as output over input. If the arm spins slower than # the motors, this number should be greater than one. kArmGearing = 10.0 class MyRobot(wpilib.TimedRobot): """This is a sample program to demonstrate how to use a state-space controller to control an arm.""" def __init__(self) -> None: super().__init__() self.profile = wpimath.TrapezoidProfile( wpimath.TrapezoidProfile.Constraints( wpimath.units.degreesToRadians(45), wpimath.units.degreesToRadians( 90 ), # Max arm velocity and acceleration. ) ) self.lastProfiledReference = wpimath.TrapezoidProfile.State() # The plant holds a state-space model of our arm. This system has the following properties: # # States: [position, velocity], in radians and radians per second. # Inputs (what we can "put in"): [voltage], in volts. # Outputs (what we can measure): [position], in radians. self.armPlant = wpimath.Models.singleJointedArmFromPhysicalConstants( wpimath.DCMotor.NEO(2), kArmMOI, kArmGearing, ).slice(0) # The observer fuses our encoder data and voltage inputs to reject noise. self.observer = wpimath.KalmanFilter_2_1_1( self.armPlant, # How accurate we think our model is, in radians and radians/sec. ( 0.015, 0.17, ), # How accurate we think our encoder position data is. In this case we very highly trust our encoder position reading. (0.01,), 0.020, ) # A LQR uses feedback to create voltage commands. self.controller = wpimath.LinearQuadraticRegulator_2_1( self.armPlant, # qelms. Velocity error tolerance, in radians and radians per second. # Decrease this to more heavily penalize state excursion, or make the # controller behave more aggressively. ( wpimath.units.degreesToRadians(1.0), wpimath.units.degreesToRadians(10.0), ), # relms. Control effort (voltage) tolerance. Decrease this to more # heavily penalize control effort, or make the controller less # aggressive. 12 is a good starting point because that is the # (approximate) maximum voltage of a battery. (12.0,), # Nominal time between loops. 20ms for TimedRobot, but can be lower if # using notifiers. 0.020, ) # The state-space loop combines a controller, observer, feedforward and plant for easy control. self.loop = wpimath.LinearSystemLoop_2_1_1( self.armPlant, self.controller, self.observer, 12.0, 0.020 ) # An encoder set up to measure flywheel velocity in radians per second. self.encoder = wpilib.Encoder(kEncoderAChannel, kEncoderBChannel) self.motor = wpilib.PWMSparkMax(kMotorPort) # A joystick to read the trigger from. self.joystick = wpilib.Joystick(kJoystickPort) # We go 2 pi radians in 1 rotation, or 4096 counts. self.encoder.setDistancePerPulse(math.tau / 4096) def teleopInit(self) -> None: # Reset our loop to make sure it's in a known state. self.loop.reset([self.encoder.getDistance(), self.encoder.getRate()]) # Reset our last reference to the current state. self.lastProfiledReference = wpimath.TrapezoidProfile.State( self.encoder.getDistance(), self.encoder.getRate() ) def teleopPeriodic(self) -> None: # Sets the target position of our arm. This is similar to setting the setpoint of a # PID controller. if self.joystick.getTrigger(): # the trigger is pressed, so we go to the high goal. goal = wpimath.TrapezoidProfile.State(kRaisedPosition, 0.0) else: # Otherwise, we go to the low goal goal = wpimath.TrapezoidProfile.State(kLoweredPosition, 0.0) # Step our TrapezoidalProfile forward 20ms and set it as our next reference self.lastProfiledReference = self.profile.calculate( 0.020, self.lastProfiledReference, goal ) self.loop.setNextR( [self.lastProfiledReference.position, self.lastProfiledReference.velocity] ) # Correct our Kalman filter's state vector estimate with encoder data. self.loop.correct([self.encoder.getDistance()]) # Update our LQR to generate new voltage commands and use the voltages to predict the next # state with out Kalman filter. self.loop.predict(0.020) # Send the new calculated voltage to the motors. # voltage = duty cycle * battery voltage, so # duty cycle = voltage / battery voltage nextVoltage = self.loop.U(0) self.motor.setVoltage(nextVoltage)