class RTErgodicControl(object):
def __init__(self,
model,
target_dist,
weights=None,
horizon=100,
num_basis=5,
capacity=100000,
batch_size=20):
self.model = model
self.target_dist = target_dist
self.horizon = horizon
self.replay_buffer = ReplayBuffer(capacity)
self.batch_size = batch_size
self.basis = Basis(self.model.explr_space, num_basis=num_basis)
# self.lamk = 1.0/(np.linalg.norm(self.basis.k, axis=1) + 1)**(3.0/2.0)
self.lamk = np.exp(-0.8 * np.linalg.norm(self.basis.k, axis=1))
self.barr = Barrier(self.model.explr_space)
# initialize the control sequence
# self.u_seq = [np.zeros(self.model.action_space.shape)
# for _ in range(horizon)]
self.u_seq = [
0.0 * self.model.action_space.sample() for _ in range(horizon)
]
if weights is None:
weights = {'R': np.eye(self.model.action_space.shape[0])}
self.Rinv = np.linalg.inv(weights['R'])
self._phik = None
self.ck = None
def reset(self):
self.u_seq = [
0.0 * self.model.action_space.sample() for _ in range(self.horizon)
]
self.replay_buffer.reset()
@property
def phik(self):
return self._phik
@phik.setter
def phik(self, phik):
assert len(
phik
) == self.basis.tot_num_basis, 'phik does not have the same number as ck'
self._phik = phik
def __call__(self,
state,
ck_list=None,
agent_num=None,
seq=False,
turtle_mode=True):
assert self.phik is not None, 'Forgot to set phik, use set_target_phik method'
self.u_seq[:-1] = self.u_seq[1:]
self.u_seq[-1] = np.zeros(self.model.action_space.shape)
x = self.model.reset(state)
pred_traj = []
dfk = []
fdx = []
fdu = []
dbar = []
for t in range(self.horizon):
# collect all the information that is needed
pred_traj.append(x[self.model.explr_idx])
dfk.append(self.basis.dfk(x[self.model.explr_idx]))
fdx.append(self.model.fdx(x, self.u_seq[t]))
fdu.append(self.model.fdu(x))
dbar.append(self.barr.dx(x[self.model.explr_idx]))
# step the model forwards
x = self.model.step(self.u_seq[t] * 0.)
# sample any past experiences
# print('replay_buffer.shape: {}, batch_size.shape{}'.format(len(self.replay_buffer), self.batch_size))
if len(self.replay_buffer) > self.batch_size:
past_states = self.replay_buffer.buffer[-self.batch_size:]
pred_traj = pred_traj + past_states
else:
past_states = self.replay_buffer.buffer[0:]
pred_traj = pred_traj + past_states
# past_states = self.replay_buffer.sample(self.batch_size)
# pred_traj = pred_traj + past_states
# else:
# past_states = self.replay_buffer.sample(len(self.replay_buffer))
# pred_traj = pred_traj + past_states
# calculate the cks for the trajectory *** this is also in the utils file
N = len(pred_traj)
ck = np.sum([self.basis.fk(xt) for xt in pred_traj], axis=0) / N
self.ck = ck.copy()
if ck_list is not None:
ck_list[agent_num] = ck
ck = np.mean(ck_list, axis=0)
fourier_diff = self.lamk * (ck - self.phik)
fourier_diff = fourier_diff.reshape(-1, 1)
# backwards pass
rho = np.zeros(self.model.observation_space.shape)
for t in reversed(range(self.horizon)):
edx = np.zeros(self.model.observation_space.shape)
edx[self.model.explr_idx] = np.sum(dfk[t] * fourier_diff, 0)
bdx = np.zeros(self.model.observation_space.shape)
bdx[self.model.explr_idx] = dbar[t]
rho = rho - self.model.dt * (-edx - bdx - np.dot(fdx[t].T, rho))
self.u_seq[t] = -np.dot(np.dot(self.Rinv, fdu[t].T), rho)
if (np.abs(self.u_seq[t]) > 1.0).any():
self.u_seq[t] /= np.linalg.norm(self.u_seq[t])
if turtle_mode is True:
self.u_seq[t][0] = np.clip(self.u_seq[t][0], -0.2, 0.2)
self.u_seq[t][1] = np.clip(self.u_seq[t][1], -2.8, 2.8)
self.replay_buffer.push(state[self.model.explr_idx])
if seq is False:
return self.u_seq[0].copy()
else:
return self.u_seq[0].copy(), self.u_seq.copy()
import numpy as np
import numpy.random as npr
from basis import Basis
from gym.spaces import Box
# define the exploration space as gym.Box
explr_space = Box(np.array([0.0, 0.0]), np.array([1.0, 1.0]), dtype=np.float32)
# define the basis object
basis = Basis(explr_space=explr_space, num_basis=5)
# simulate/randomize a trajectory
xt = [explr_space.sample() for _ in range(10)]
# print indices for all basis functions
print('indices for all basis functions: ')
print(basis.k) # amount is square of num_basis
# test basis function, the input is a pose
print(basis.fk(xt[0]))
# test derivative of basis function wrt a pose
print(basis.dfk(xt[0]))
# hk, even computed in the source code, is not
# used in the end, so we temporarily ignore it
###########################################
# compute trajectory to ck using basis function
from utils import convert_traj2ck
ck = convert_traj2ck(basis, xt)
print('ck: ')
print(ck)
###########################################
# barrier function test
from barrier import Barrier
class DErgControl(object):
def __init__(self, agent_name, model,
weights=None, t_horizon=10, num_basis=5,
capacity=100000, batch_size=20):
self._agent_name = agent_name
self._model = model
self._t_horizon = t_horizon
self._replay_buffer = ReplayBuffer(capacity)
self._batch_size = batch_size
self._basis = Basis(self._model.explr_space, num_basis=num_basis)
self._lamk = np.exp(-0.8*np.linalg.norm(self._basis.k, axis=1))
self._barr = Barrier(self._model.explr_space)
self._targ_dist = TargetDist(basis=self._basis)
self._u = [0.0*np.zeros(self._model.action_space.shape[0])
for _ in range(t_horizon)]
# TODO: implement more weights
if weights is None:
weights = {'R' : np.eye(self._model.action_space.shape[0])}
self._Rinv = np.linalg.inv(weights['R'])
self._phik = None
self._ck_mean = None
self._ck_msg = Ck()
self._ck_msg.name = self._agent_name
self._ck_dict = {}
self.pred_path = []
# set up the eos stuff last
rospy.Subscriber('ck_link', Ck, self._ck_link_callback)
self._ck_pub = rospy.Publisher('ck_link', Ck, queue_size=1)
def _ck_link_callback(self, msg):
if msg.name != self._agent_name:
if self._ck_dict.has_key(msg.name):
self._ck_dict[msg.name] = np.array(msg.ck)
else:
self._ck_dict.update({msg.name : np.array(msg.ck)})
def reset(self):
self._u = [0.0*np.zeros(self._model.action_space.shape[0])
for _ in range(self._t_horizon)]
self._replay_buffer.reset()
def __call__(self, state):
assert self._targ_dist.phik is not None, 'Forgot to set phik'
if self._targ_dist.has_update==True:
self._replay_buffer.reset()
self._targ_dist.has_update = False
self._u[:-1] = self._u[1:]
self._u[-1] = np.zeros(self._model.action_space.shape[0])
x = self._model.reset(state.copy())
pred_traj = []
dfk = []
fdx = []
fdu = []
dbar = []
for t in range(self._t_horizon):
# collect all the information that is needed
pred_traj.append(
x[self._model.explr_idx]
)
dfk.append(
self._basis.dfk(x[self._model.explr_idx])
)
dbar.append(
self._barr.dx(x[self._model.explr_idx])
)
# step the model forwards
x = self._model.step(self._u[t])
fdx.append(self._model.A)
fdu.append(self._model.B)
self.pred_path = deepcopy(pred_traj)
# sample any past experiences
if len(self._replay_buffer) > self._batch_size:
past_states = self._replay_buffer.sample(self._batch_size)
pred_traj = pred_traj + past_states
else:
past_states = self._replay_buffer.sample(len(self._replay_buffer))
pred_traj = pred_traj + past_states
# calculate the cks for the trajectory
# *** this is also in the utils file
N = len(pred_traj)
ck = np.sum([self._basis.fk(xt) for xt in pred_traj], axis=0) / N
self._ck_msg.ck = ck.copy()
self._ck_pub.publish(self._ck_msg)
if len(self._ck_dict.keys()) > 1:
self._ck_dict[self._agent_name] = ck
cks = []
for key in self._ck_dict.keys():
cks.append(self._ck_dict[key])
ck = np.mean(cks, axis=0)
# print('sharing and make sure first ck is 0 ', ck[0])
self._ck_mean = ck
fourier_diff = self._lamk * (ck - self._targ_dist.phik)
fourier_diff = fourier_diff.reshape(-1,1)
# backwards pass
rho = np.zeros(self._model.observation_space.shape[0])
for t in reversed(range(self._t_horizon)):
edx = np.zeros(self._model.observation_space.shape[0])
edx[self._model.explr_idx] = np.sum(dfk[t] * fourier_diff, 0)
bdx = np.zeros(self._model.observation_space.shape[0])
bdx[self._model.explr_idx] = dbar[t]
rho = rho - self._model.dt * (-edx-bdx-np.dot(fdx[t].T, rho))
self._u[t] = -np.dot(np.dot(self._Rinv, fdu[t].T), rho)
if (np.abs(self._u[t]) > 1.0).any():
self._u[t] /= np.linalg.norm(self._u[t])
self._replay_buffer.push(state[self._model.explr_idx].copy())
return self._u[0].copy()