Update bot3 drivetrain and get defense bot working.

Change-Id: I0e3d5c0e768ee77eaeaf0a963f15c3172389ea6e
diff --git a/y2014_bot3/control_loops/python/drivetrain.py b/y2014_bot3/control_loops/python/drivetrain.py
index 4231887..b0555a0 100755
--- a/y2014_bot3/control_loops/python/drivetrain.py
+++ b/y2014_bot3/control_loops/python/drivetrain.py
@@ -4,10 +4,16 @@
 from frc971.control_loops.python import controls
 import numpy
 import sys
+import argparse
 from matplotlib import pylab
 
+import gflags
 import glog
 
+FLAGS = gflags.FLAGS
+
+gflags.DEFINE_bool('plot', False, 'If true, plot the loop response.')
+
 class CIM(control_loop.ControlLoop):
   def __init__(self):
     super(CIM, self).__init__("CIM")
@@ -22,10 +28,10 @@
     # Moment of inertia of the CIM in kg m^2
     self.J = 0.0001
     # Resistance of the motor, divided by 2 to account for the 2 motors
-    self.R = 12.0 / self.stall_current
+    self.resistance = 12.0 / self.stall_current
     # Motor velocity constant
     self.Kv = ((self.free_speed / 60.0 * 2.0 * numpy.pi) /
-              (12.0 - self.R * self.free_current))
+              (12.0 - self.resistance * self.free_current))
     # Torque constant
     self.Kt = self.stall_torque / self.stall_current
     # Control loop time step
@@ -33,9 +39,9 @@
 
     # State feedback matrices
     self.A_continuous = numpy.matrix(
-        [[-self.Kt / self.Kv / (self.J * self.R)]])
+        [[-self.Kt / self.Kv / (self.J * self.resistance)]])
     self.B_continuous = numpy.matrix(
-        [[self.Kt / (self.J * self.R)]])
+        [[self.Kt / (self.J * self.resistance)]])
     self.C = numpy.matrix([[1]])
     self.D = numpy.matrix([[0]])
 
@@ -54,36 +60,34 @@
 class Drivetrain(control_loop.ControlLoop):
   def __init__(self, name="Drivetrain", left_low=True, right_low=True):
     super(Drivetrain, self).__init__(name)
+    # Number of motors per side
+    self.num_motors = 2
     # Stall Torque in N m
-    self.stall_torque = 2.42
+    self.stall_torque = 2.42 * self.num_motors * 0.60
     # Stall Current in Amps
-    self.stall_current = 133.0
+    self.stall_current = 133.0 * self.num_motors
     # Free Speed in RPM. Used number from last year.
-    self.free_speed = 4650.0
+    self.free_speed = 5500.0
     # Free Current in Amps
-    self.free_current = 2.7
+    self.free_current = 4.7 * self.num_motors
     # Moment of inertia of the drivetrain in kg m^2
-    # Just borrowed from last year.
-    self.J = 10
+    self.J = 1.8
     # Mass of the robot, in kg.
-    self.m = 68
-    # Radius of the robot, in meters (from last year).
-    self.rb = 0.9603 / 2.0
+    self.m = 37
+    # Radius of the robot, in meters (requires tuning by hand)
+    self.rb = 0.601 / 2.0
     # Radius of the wheels, in meters.
     self.r = 0.0508
     # Resistance of the motor, divided by the number of motors.
-    self.R = 12.0 / self.stall_current / 2
+    self.resistance = 12.0 / self.stall_current
     # Motor velocity constant
     self.Kv = ((self.free_speed / 60.0 * 2.0 * numpy.pi) /
-               (12.0 - self.R * self.free_current))
+               (12.0 - self.resistance * self.free_current))
     # Torque constant
     self.Kt = self.stall_torque / self.stall_current
     # Gear ratios
-    self.G_const = 18.0 / 44.0 * 18.0 / 60.0
-
-    self.G_low = self.G_const
-    self.G_high = self.G_const
-
+    self.G_low = 28.0 / 60.0 * 19.0 / 50.0
+    self.G_high = 28.0 / 48.0 * 19.0 / 50.0
     if left_low:
       self.Gl = self.G_low
     else:
@@ -101,10 +105,10 @@
     self.msp = 1.0 / self.m + self.rb * self.rb / self.J
     self.msn = 1.0 / self.m - self.rb * self.rb / self.J
     # The calculations which we will need for A and B.
-    self.tcl = -self.Kt / self.Kv / (self.Gl * self.Gl * self.R * self.r * self.r)
-    self.tcr = -self.Kt / self.Kv / (self.Gr * self.Gr * self.R * self.r * self.r)
-    self.mpl = self.Kt / (self.Gl * self.R * self.r)
-    self.mpr = self.Kt / (self.Gr * self.R * self.r)
+    self.tcl = -self.Kt / self.Kv / (self.Gl * self.Gl * self.resistance * self.r * self.r)
+    self.tcr = -self.Kt / self.Kv / (self.Gr * self.Gr * self.resistance * self.r * self.r)
+    self.mpl = self.Kt / (self.Gl * self.resistance * self.r)
+    self.mpr = self.Kt / (self.Gr * self.resistance * self.r)
 
     # State feedback matrices
     # X will be of the format
@@ -124,17 +128,16 @@
     self.D = numpy.matrix([[0, 0],
                            [0, 0]])
 
-    #glog.debug('THE NUMBER I WANT %s', str(numpy.linalg.inv(self.A_continuous) * -self.B_continuous * numpy.matrix([[12.0], [12.0]])))
     self.A, self.B = self.ContinuousToDiscrete(
         self.A_continuous, self.B_continuous, self.dt)
 
-    # Poles from last year.
-    self.hp = 0.65
-    self.lp = 0.83
-    self.PlaceControllerPoles([self.hp, self.lp, self.hp, self.lp])
-    glog.info('K %s', str(self.K))
-    q_pos = 0.07
-    q_vel = 1.0
+    if left_low or right_low:
+      q_pos = 0.12
+      q_vel = 1.0
+    else:
+      q_pos = 0.14
+      q_vel = 0.95
+
     self.Q = numpy.matrix([[(1.0 / (q_pos ** 2.0)), 0.0, 0.0, 0.0],
                            [0.0, (1.0 / (q_vel ** 2.0)), 0.0, 0.0],
                            [0.0, 0.0, (1.0 / (q_pos ** 2.0)), 0.0],
@@ -143,10 +146,10 @@
     self.R = numpy.matrix([[(1.0 / (12.0 ** 2.0)), 0.0],
                            [0.0, (1.0 / (12.0 ** 2.0))]])
     self.K = controls.dlqr(self.A, self.B, self.Q, self.R)
-    glog.info('A %s', str(self.A))
-    glog.info('B %s', str(self.B))
-    glog.info('K %s', str(self.K))
-    glog.info('Poles are %s', str(numpy.linalg.eig(self.A - self.B * self.K)[0]))
+
+    glog.debug('DT q_pos %f q_vel %s %s', q_pos, q_vel, name)
+    glog.debug(str(numpy.linalg.eig(self.A - self.B * self.K)[0]))
+    glog.debug('K %s', repr(self.K))
 
     self.hlp = 0.3
     self.llp = 0.4
@@ -154,11 +157,102 @@
 
     self.U_max = numpy.matrix([[12.0], [12.0]])
     self.U_min = numpy.matrix([[-12.0], [-12.0]])
+
     self.InitializeState()
 
+
+class KFDrivetrain(Drivetrain):
+  def __init__(self, name="KFDrivetrain", left_low=True, right_low=True):
+    super(KFDrivetrain, self).__init__(name, left_low, right_low)
+
+    self.unaugmented_A_continuous = self.A_continuous
+    self.unaugmented_B_continuous = self.B_continuous
+
+    # The states are
+    # The practical voltage applied to the wheels is
+    #   V_left = U_left + left_voltage_error
+    #
+    # [left position, left velocity, right position, right velocity,
+    #  left voltage error, right voltage error, angular_error]
+    #
+    # The left and right positions are filtered encoder positions and are not
+    # adjusted for heading error.
+    # The turn velocity as computed by the left and right velocities is
+    # adjusted by the gyro velocity.
+    # The angular_error is the angular velocity error between the wheel speed
+    # and the gyro speed.
+    self.A_continuous = numpy.matrix(numpy.zeros((7, 7)))
+    self.B_continuous = numpy.matrix(numpy.zeros((7, 2)))
+    self.A_continuous[0:4,0:4] = self.unaugmented_A_continuous
+    self.A_continuous[0:4,4:6] = self.unaugmented_B_continuous
+    self.B_continuous[0:4,0:2] = self.unaugmented_B_continuous
+    self.A_continuous[0,6] = 1
+    self.A_continuous[2,6] = -1
+
+    self.A, self.B = self.ContinuousToDiscrete(
+        self.A_continuous, self.B_continuous, self.dt)
+
+    self.C = numpy.matrix([[1, 0, 0, 0, 0, 0, 0],
+                           [0, 0, 1, 0, 0, 0, 0],
+                           [0, -0.5 / self.rb, 0, 0.5 / self.rb, 0, 0, 0]])
+
+    self.D = numpy.matrix([[0, 0],
+                           [0, 0],
+                           [0, 0]])
+
+    q_pos = 0.05
+    q_vel = 1.00
+    q_voltage = 10.0
+    q_encoder_uncertainty = 2.00
+
+    self.Q = numpy.matrix([[(q_pos ** 2.0), 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
+                           [0.0, (q_vel ** 2.0), 0.0, 0.0, 0.0, 0.0, 0.0],
+                           [0.0, 0.0, (q_pos ** 2.0), 0.0, 0.0, 0.0, 0.0],
+                           [0.0, 0.0, 0.0, (q_vel ** 2.0), 0.0, 0.0, 0.0],
+                           [0.0, 0.0, 0.0, 0.0, (q_voltage ** 2.0), 0.0, 0.0],
+                           [0.0, 0.0, 0.0, 0.0, 0.0, (q_voltage ** 2.0), 0.0],
+                           [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, (q_encoder_uncertainty ** 2.0)]])
+
+    r_pos =  0.0001
+    r_gyro = 0.000001
+    self.R = numpy.matrix([[(r_pos ** 2.0), 0.0, 0.0],
+                           [0.0, (r_pos ** 2.0), 0.0],
+                           [0.0, 0.0, (r_gyro ** 2.0)]])
+
+    # Solving for kf gains.
+    self.KalmanGain, self.Q_steady = controls.kalman(
+        A=self.A, B=self.B, C=self.C, Q=self.Q, R=self.R)
+
+    self.L = self.A * self.KalmanGain
+
+    unaug_K = self.K
+
+    # Implement a nice closed loop controller for use by the closed loop
+    # controller.
+    self.K = numpy.matrix(numpy.zeros((self.B.shape[1], self.A.shape[0])))
+    self.K[0:2, 0:4] = unaug_K
+    self.K[0, 4] = 1.0
+    self.K[1, 5] = 1.0
+
+    self.Qff = numpy.matrix(numpy.zeros((4, 4)))
+    qff_pos = 0.005
+    qff_vel = 1.00
+    self.Qff[0, 0] = 1.0 / qff_pos ** 2.0
+    self.Qff[1, 1] = 1.0 / qff_vel ** 2.0
+    self.Qff[2, 2] = 1.0 / qff_pos ** 2.0
+    self.Qff[3, 3] = 1.0 / qff_vel ** 2.0
+    self.Kff = numpy.matrix(numpy.zeros((2, 7)))
+    self.Kff[0:2, 0:4] = controls.TwoStateFeedForwards(self.B[0:4,:], self.Qff)
+
+    self.InitializeState()
+
+
 def main(argv):
+  argv = FLAGS(argv)
+  glog.init()
+
   # Simulate the response of the system to a step input.
-  drivetrain = Drivetrain()
+  drivetrain = Drivetrain(left_low=False, right_low=False)
   simulated_left = []
   simulated_right = []
   for _ in xrange(100):
@@ -166,26 +260,37 @@
     simulated_left.append(drivetrain.X[0, 0])
     simulated_right.append(drivetrain.X[2, 0])
 
-  #pylab.plot(range(100), simulated_left)
-  #pylab.plot(range(100), simulated_right)
-  #pylab.show()
+  if FLAGS.plot:
+    pylab.plot(range(100), simulated_left)
+    pylab.plot(range(100), simulated_right)
+    pylab.suptitle('Acceleration Test')
+    pylab.show()
 
   # Simulate forwards motion.
-  drivetrain = Drivetrain()
+  drivetrain = Drivetrain(left_low=False, right_low=False)
   close_loop_left = []
   close_loop_right = []
+  left_power = []
+  right_power = []
   R = numpy.matrix([[1.0], [0.0], [1.0], [0.0]])
-  for _ in xrange(100):
+  for _ in xrange(300):
     U = numpy.clip(drivetrain.K * (R - drivetrain.X_hat),
                    drivetrain.U_min, drivetrain.U_max)
     drivetrain.UpdateObserver(U)
     drivetrain.Update(U)
     close_loop_left.append(drivetrain.X[0, 0])
     close_loop_right.append(drivetrain.X[2, 0])
+    left_power.append(U[0, 0])
+    right_power.append(U[1, 0])
 
-  #pylab.plot(range(100), close_loop_left)
-  #pylab.plot(range(100), close_loop_right)
-  #pylab.show()
+  if FLAGS.plot:
+    pylab.plot(range(300), close_loop_left, label='left position')
+    pylab.plot(range(300), close_loop_right, label='right position')
+    pylab.plot(range(300), left_power, label='left power')
+    pylab.plot(range(300), right_power, label='right power')
+    pylab.suptitle('Linear Move')
+    pylab.legend()
+    pylab.show()
 
   # Try turning in place
   drivetrain = Drivetrain()
@@ -200,9 +305,11 @@
     close_loop_left.append(drivetrain.X[0, 0])
     close_loop_right.append(drivetrain.X[2, 0])
 
-  #pylab.plot(range(100), close_loop_left)
-  #pylab.plot(range(100), close_loop_right)
-  #pylab.show()
+  if FLAGS.plot:
+    pylab.plot(range(100), close_loop_left)
+    pylab.plot(range(100), close_loop_right)
+    pylab.suptitle('Angular Move')
+    pylab.show()
 
   # Try turning just one side.
   drivetrain = Drivetrain()
@@ -217,25 +324,75 @@
     close_loop_left.append(drivetrain.X[0, 0])
     close_loop_right.append(drivetrain.X[2, 0])
 
-  #pylab.plot(range(100), close_loop_left)
-  #pylab.plot(range(100), close_loop_right)
-  #pylab.show()
+  if FLAGS.plot:
+    pylab.plot(range(100), close_loop_left)
+    pylab.plot(range(100), close_loop_right)
+    pylab.suptitle('Pivot')
+    pylab.show()
 
   # Write the generated constants out to a file.
-  glog.info('Output one')
-  drivetrain_low_low = Drivetrain(name="DrivetrainLowLow", left_low=True, right_low=True)
-  drivetrain_low_high = Drivetrain(name="DrivetrainLowHigh", left_low=True, right_low=False)
-  drivetrain_high_low = Drivetrain(name="DrivetrainHighLow", left_low=False, right_low=True)
-  drivetrain_high_high = Drivetrain(name="DrivetrainHighHigh", left_low=False, right_low=False)
+  drivetrain_low_low = Drivetrain(
+      name="DrivetrainLowLow", left_low=True, right_low=True)
+  drivetrain_low_high = Drivetrain(
+      name="DrivetrainLowHigh", left_low=True, right_low=False)
+  drivetrain_high_low = Drivetrain(
+      name="DrivetrainHighLow", left_low=False, right_low=True)
+  drivetrain_high_high = Drivetrain(
+      name="DrivetrainHighHigh", left_low=False, right_low=False)
 
-  if len(argv) != 3:
-    glog.fatal('Expected .h file name and .cc file name')
+  kf_drivetrain_low_low = KFDrivetrain(
+      name="KFDrivetrainLowLow", left_low=True, right_low=True)
+  kf_drivetrain_low_high = KFDrivetrain(
+      name="KFDrivetrainLowHigh", left_low=True, right_low=False)
+  kf_drivetrain_high_low = KFDrivetrain(
+      name="KFDrivetrainHighLow", left_low=False, right_low=True)
+  kf_drivetrain_high_high = KFDrivetrain(
+      name="KFDrivetrainHighHigh", left_low=False, right_low=False)
+
+  if len(argv) != 5:
+    print "Expected .h file name and .cc file name"
   else:
+    namespaces = ['y2014_bot3', 'control_loops', 'drivetrain']
     dog_loop_writer = control_loop.ControlLoopWriter(
         "Drivetrain", [drivetrain_low_low, drivetrain_low_high,
                        drivetrain_high_low, drivetrain_high_high],
-        namespaces=['y2014_bot3', 'control_loops', 'drivetrain'])
+        namespaces = namespaces)
+    dog_loop_writer.AddConstant(control_loop.Constant("kDt", "%f",
+          drivetrain_low_low.dt))
+    dog_loop_writer.AddConstant(control_loop.Constant("kStallTorque", "%f",
+          drivetrain_low_low.stall_torque))
+    dog_loop_writer.AddConstant(control_loop.Constant("kStallCurrent", "%f",
+          drivetrain_low_low.stall_current))
+    dog_loop_writer.AddConstant(control_loop.Constant("kFreeSpeedRPM", "%f",
+          drivetrain_low_low.free_speed))
+    dog_loop_writer.AddConstant(control_loop.Constant("kFreeCurrent", "%f",
+          drivetrain_low_low.free_current))
+    dog_loop_writer.AddConstant(control_loop.Constant("kJ", "%f",
+          drivetrain_low_low.J))
+    dog_loop_writer.AddConstant(control_loop.Constant("kMass", "%f",
+          drivetrain_low_low.m))
+    dog_loop_writer.AddConstant(control_loop.Constant("kRobotRadius", "%f",
+          drivetrain_low_low.rb))
+    dog_loop_writer.AddConstant(control_loop.Constant("kWheelRadius", "%f",
+          drivetrain_low_low.r))
+    dog_loop_writer.AddConstant(control_loop.Constant("kR", "%f",
+          drivetrain_low_low.resistance))
+    dog_loop_writer.AddConstant(control_loop.Constant("kV", "%f",
+          drivetrain_low_low.Kv))
+    dog_loop_writer.AddConstant(control_loop.Constant("kT", "%f",
+          drivetrain_low_low.Kt))
+    dog_loop_writer.AddConstant(control_loop.Constant("kLowGearRatio", "%f",
+          drivetrain_low_low.G_low))
+    dog_loop_writer.AddConstant(control_loop.Constant("kHighGearRatio", "%f",
+          drivetrain_high_high.G_high))
+
     dog_loop_writer.Write(argv[1], argv[2])
 
+    kf_loop_writer = control_loop.ControlLoopWriter(
+        "KFDrivetrain", [kf_drivetrain_low_low, kf_drivetrain_low_high,
+                         kf_drivetrain_high_low, kf_drivetrain_high_high],
+        namespaces = namespaces)
+    kf_loop_writer.Write(argv[3], argv[4])
+
 if __name__ == '__main__':
   sys.exit(main(sys.argv))