From ac7ab11fa0da9e3b1973e592f61a955c54f3358b Mon Sep 17 00:00:00 2001 From: Shunichi09 Date: Thu, 2 Apr 2020 17:37:09 +0900 Subject: [PATCH] Add: two wheeled model and environment --- .travis.yml | 14 ++ .../configs/first_order_lag.py | 2 - .../configs/make_configs.py | 5 +- .../configs/two_wheeled.py | 86 ++++++++++++ .../envs/first_order_lag.py | 12 +- .../envs/make_envs.py | 5 +- .../envs/two_wheeled.py | 125 ++++++------------ .../models/make_models.py | 3 + .../models/two_wheeled.py | 53 ++++++++ README.md | 31 +++-- assets/concept.png | Bin 0 -> 216364 bytes scripts/simple_run.py | 4 +- setup.py | 4 +- tests/models/test_two_wheeled.py | 42 ++++++ 14 files changed, 277 insertions(+), 109 deletions(-) create mode 100644 .travis.yml create mode 100644 PythonLinearNonlinearControl/configs/two_wheeled.py create mode 100644 PythonLinearNonlinearControl/models/two_wheeled.py create mode 100644 assets/concept.png create mode 100644 tests/models/test_two_wheeled.py diff --git a/.travis.yml b/.travis.yml new file mode 100644 index 0000000..99e1756 --- /dev/null +++ b/.travis.yml @@ -0,0 +1,14 @@ +language: python + +python: + - 3.7 + +install: + - pip install --upgrade pip setuptools wheel + - pip install coveralls + +script: + - coverage run --source=PythonLinearNonlinearControl setup.py test + +after_success: + - coveralls \ No newline at end of file diff --git a/PythonLinearNonlinearControl/configs/first_order_lag.py b/PythonLinearNonlinearControl/configs/first_order_lag.py index 18f86c9..166b3d0 100644 --- a/PythonLinearNonlinearControl/configs/first_order_lag.py +++ b/PythonLinearNonlinearControl/configs/first_order_lag.py @@ -23,8 +23,6 @@ class FirstOrderLagConfigModule(): def __init__(self): """ - Args: - save_dit (str): save directory """ # opt configs self.opt_config = { diff --git a/PythonLinearNonlinearControl/configs/make_configs.py b/PythonLinearNonlinearControl/configs/make_configs.py index fb54981..87e3709 100644 --- a/PythonLinearNonlinearControl/configs/make_configs.py +++ b/PythonLinearNonlinearControl/configs/make_configs.py @@ -1,4 +1,5 @@ from .first_order_lag import FirstOrderLagConfigModule +from .two_wheeled import TwoWheeledConfigModule def make_config(args): """ @@ -6,4 +7,6 @@ def make_config(args): config (ConfigModule class): configuration for the each env """ if args.env == "FirstOrderLag": - return FirstOrderLagConfigModule() \ No newline at end of file + return FirstOrderLagConfigModule() + elif args.env == "TwoWheeledConst" or args.env == "TwoWheeled": + return TwoWheeledConfigModule() \ No newline at end of file diff --git a/PythonLinearNonlinearControl/configs/two_wheeled.py b/PythonLinearNonlinearControl/configs/two_wheeled.py new file mode 100644 index 0000000..f8f2692 --- /dev/null +++ b/PythonLinearNonlinearControl/configs/two_wheeled.py @@ -0,0 +1,86 @@ +import numpy as np + +class TwoWheeledConfigModule(): + # parameters + ENV_NAME = "TwoWheeled-v0" + TYPE = "Nonlinear" + TASK_HORIZON = 1000 + PRED_LEN = 10 + STATE_SIZE = 3 + INPUT_SIZE = 2 + DT = 0.01 + # cost parameters + R = np.eye(INPUT_SIZE) + Q = np.eye(STATE_SIZE) + Sf = np.eye(STATE_SIZE) + # bounds + INPUT_LOWER_BOUND = np.array([-1.5, 3.14]) + INPUT_UPPER_BOUND = np.array([1.5, 3.14]) + + def __init__(self): + """ + """ + # opt configs + self.opt_config = { + "Random": { + "popsize": 5000 + }, + "CEM": { + "popsize": 500, + "num_elites": 50, + "max_iters": 15, + "alpha": 0.3, + "init_var":1., + "threshold":0.001 + }, + "MPPI":{ + "beta" : 0.6, + "popsize": 5000, + "kappa": 0.9, + "noise_sigma": 0.5, + }, + "iLQR":{ + }, + "NMPC-CGMRES":{ + }, + "NMPC-Newton":{ + }, + } + + @staticmethod + def input_cost_fn(u): + """ input cost functions + Args: + u (numpy.ndarray): input, shape(input_size, ) + or shape(pop_size, input_size) + Returns: + cost (numpy.ndarray): cost of input, none or shape(pop_size, ) + """ + return (u**2) * np.diag(TwoWheeledConfigModule.R) * 0.1 + + @staticmethod + def state_cost_fn(x, g_x): + """ state cost function + Args: + x (numpy.ndarray): state, shape(pred_len, state_size) + or shape(pop_size, pred_len, state_size) + g_x (numpy.ndarray): goal state, shape(state_size, ) + or shape(pop_size, state_size) + Returns: + cost (numpy.ndarray): cost of state, none or shape(pop_size, ) + """ + return ((x - g_x)**2) * np.diag(TwoWheeledConfigModule.Q) + + @staticmethod + def terminal_state_cost_fn(terminal_x, terminal_g_x): + """ + Args: + terminal_x (numpy.ndarray): terminal state, + shape(state_size, ) or shape(pop_size, state_size) + terminal_g_x (numpy.ndarray): terminal goal state, + shape(state_size, ) or shape(pop_size, state_size) + Returns: + cost (numpy.ndarray): cost of state, none or shape(pop_size, ) + """ + return ((terminal_x - terminal_g_x)**2) \ + * np.diag(TwoWheeledConfigModule.Sf) \ No newline at end of file diff --git a/PythonLinearNonlinearControl/envs/first_order_lag.py b/PythonLinearNonlinearControl/envs/first_order_lag.py index 0348ee0..8d0588d 100644 --- a/PythonLinearNonlinearControl/envs/first_order_lag.py +++ b/PythonLinearNonlinearControl/envs/first_order_lag.py @@ -70,13 +70,13 @@ class FirstOrderLagEnv(Env): self.curr_x = init_x # goal - self.goal_state = np.array([0., 0, -2., 3.]) + self.g_x = np.array([0., 0, -2., 3.]) # clear memory self.history_x = [] self.history_g_x = [] - return self.curr_x, {"goal_state": self.goal_state} + return self.curr_x, {"goal_state": self.g_x} def step(self, u): """ @@ -99,15 +99,17 @@ class FirstOrderLagEnv(Env): # cost cost = 0 cost = np.sum(u**2) - cost += np.sum((self.curr_x-g_x)**2) + cost += np.sum((self.curr_x - self.g_x)**2) # save history self.history_x.append(next_x.flatten()) - self.history_g_x.append(self.goal_state.flatten()) + self.history_g_x.append(self.g_x.flatten()) # update self.curr_x = next_x.flatten() # update costs self.step_count += 1 - return next_x.flatten(), cost, self.step_count > self.config["max_step"], {"goal_state" : self.goal_state} \ No newline at end of file + return next_x.flatten(), cost, \ + self.step_count > self.config["max_step"], \ + {"goal_state" : self.g_x} \ No newline at end of file diff --git a/PythonLinearNonlinearControl/envs/make_envs.py b/PythonLinearNonlinearControl/envs/make_envs.py index aedd299..debbf29 100644 --- a/PythonLinearNonlinearControl/envs/make_envs.py +++ b/PythonLinearNonlinearControl/envs/make_envs.py @@ -1,8 +1,11 @@ from .first_order_lag import FirstOrderLagEnv +from .two_wheeled import TwoWheeledConstEnv def make_env(args): if args.env == "FirstOrderLag": return FirstOrderLagEnv() + elif args.env == "TwoWheeledConst": + return TwoWheeledConstEnv() - raise NotImplementedError("There is not {} Env".format(name)) \ No newline at end of file + raise NotImplementedError("There is not {} Env".format(args.env)) \ No newline at end of file diff --git a/PythonLinearNonlinearControl/envs/two_wheeled.py b/PythonLinearNonlinearControl/envs/two_wheeled.py index 55f08f6..0d99874 100644 --- a/PythonLinearNonlinearControl/envs/two_wheeled.py +++ b/PythonLinearNonlinearControl/envs/two_wheeled.py @@ -1,8 +1,30 @@ import numpy as np -import scipy -from scipy import integrate + from .env import Env +def step_two_wheeled_env(curr_x, u, dt, method="Oylar"): + """ step two wheeled enviroment + + Args: + curr_x (numpy.ndarray): current state, shape(state_size, ) + u (numpy.ndarray): input, shape(input_size, ) + dt (float): sampling time + Returns: + next_x (numpy.ndarray): next state, shape(state_size. ) + + Notes: + TODO: deal with another method, like Runge Kutta + """ + B = np.array([[np.cos(curr_x[-1]), 0.], + [np.sin(curr_x[-1]), 0.], + [0., 1.]]) + + x_dot = np.matmul(B, u[:, np.newaxis]) + + next_x = x_dot.flatten() * dt + curr_x + + return next_x + class TwoWheeledConstEnv(Env): """ Two wheeled robot with constant goal Env """ @@ -12,15 +34,16 @@ class TwoWheeledConstEnv(Env): self.config = {"state_size" : 3,\ "input_size" : 2,\ "dt" : 0.01,\ - "max_step" : 500,\ + "max_step" : 1000,\ "input_lower_bound": [-1.5, -3.14],\ "input_upper_bound": [1.5, 3.14], } - super(TwoWheeledEnv, self).__init__(self.config) + super(TwoWheeledConstEnv, self).__init__(self.config) def reset(self, init_x=None): """ reset state + Returns: init_x (numpy.ndarray): initial state, shape(state_size, ) info (dict): information @@ -33,16 +56,17 @@ class TwoWheeledConstEnv(Env): self.curr_x = init_x # goal - self.goal_state = np.array([0., 0, -2., 3.]) + self.g_x = np.array([5., 5., 0.]) # clear memory self.history_x = [] self.history_g_x = [] - return self.curr_x, {"goal_state": self.goal_state} + return self.curr_x, {"goal_state": self.g_x} def step(self, u): - """ + """ step environments + Args: u (numpy.ndarray) : input, shape(input_size, ) Returns: @@ -54,92 +78,25 @@ class TwoWheeledConstEnv(Env): # clip action u = np.clip(u, self.config["input_lower_bound"], - self.config["input_lower_bound"]) + self.config["input_upper_bound"]) # step - next_x = np.matmul(self.A, self.curr_x[:, np.newaxis]) \ - + np.matmul(self.B, u[:, np.newaxis]) + next_x = step_two_wheeled_env(self.curr_x, u, self.config["dt"]) - # TODO: implement costs + # TODO: costs + costs = 0. + costs += 0.1 * np.sum(u**2) + costs += np.sum((self.curr_x - self.g_x)**2) # save history self.history_x.append(next_x.flatten()) - self.history_g_x.append(self.goal_state.flatten()) + self.history_g_x.append(self.g_x.flatten()) # update self.curr_x = next_x.flatten() # update costs self.step_count += 1 - return next_x.flatten(), 0., self.step_count > self.config["max_step"], {"goal_state" : self.goal_state} - -class TwoWheeledEnv(Env): - """ Two wheeled robot Env - """ - def __init__(self): - """ - """ - self.config = {"state_size" : 3,\ - "input_size" : 2,\ - "dt" : 0.01,\ - "max_step" : 500,\ - "input_lower_bound": [-1.5, -3.14],\ - "input_upper_bound": [1.5, 3.14], - } - - super(TwoWheeledEnv, self).__init__(self.config) - - def reset(self, init_x=None): - """ reset state - Returns: - init_x (numpy.ndarray): initial state, shape(state_size, ) - info (dict): information - """ - self.step_count = 0 - - self.curr_x = np.zeros(self.config["state_size"]) - - if init_x is not None: - self.curr_x = init_x - - # goal - self.goal_state = np.array([0., 0, -2., 3.]) - - # clear memory - self.history_x = [] - self.history_g_x = [] - - return self.curr_x, {"goal_state": self.goal_state} - - def step(self, u): - """ - Args: - u (numpy.ndarray) : input, shape(input_size, ) - Returns: - next_x (numpy.ndarray): next state, shape(state_size, ) - cost (float): costs - done (bool): end the simulation or not - info (dict): information - """ - # clip action - u = np.clip(u, - self.config["input_lower_bound"], - self.config["input_lower_bound"]) - - # step - next_x = np.matmul(self.A, self.curr_x[:, np.newaxis]) \ - + np.matmul(self.B, u[:, np.newaxis]) - - # TODO: implement costs - - # save history - self.history_x.append(next_x.flatten()) - self.history_g_x.append(self.goal_state.flatten()) - - # update - self.curr_x = next_x.flatten() - # update costs - self.step_count += 1 - - return next_x.flatten(), 0., self.step_count > self.config["max_step"], {"goal_state" : self.goal_state} - + return next_x.flatten(), costs, \ + self.step_count > self.config["max_step"], \ + {"goal_state" : self.g_x} \ No newline at end of file diff --git a/PythonLinearNonlinearControl/models/make_models.py b/PythonLinearNonlinearControl/models/make_models.py index 73c3987..7688f93 100644 --- a/PythonLinearNonlinearControl/models/make_models.py +++ b/PythonLinearNonlinearControl/models/make_models.py @@ -1,8 +1,11 @@ from .first_order_lag import FirstOrderLagModel +from .two_wheeled import TwoWheeledModel def make_model(args, config): if args.env == "FirstOrderLag": return FirstOrderLagModel(config) + elif args.env == "TwoWheeledConst" or args.env == "TwoWheeled": + return TwoWheeledModel(config) raise NotImplementedError("There is not {} Model".format(args.env)) diff --git a/PythonLinearNonlinearControl/models/two_wheeled.py b/PythonLinearNonlinearControl/models/two_wheeled.py new file mode 100644 index 0000000..babb86f --- /dev/null +++ b/PythonLinearNonlinearControl/models/two_wheeled.py @@ -0,0 +1,53 @@ +import numpy as np + +from .model import Model + +class TwoWheeledModel(Model): + """ two wheeled model + """ + def __init__(self, config): + """ + """ + super(TwoWheeledModel, self).__init__() + self.dt = config.DT + + def predict_next_state(self, curr_x, u): + """ predict next state + + Args: + curr_x (numpy.ndarray): current state, shape(state_size, ) or + shape(pop_size, state_size) + u (numpy.ndarray): input, shape(input_size, ) or + shape(pop_size, input_size) + Returns: + next_x (numpy.ndarray): next state, shape(state_size, ) or + shape(pop_size, state_size) + """ + if len(u.shape) == 1: + B = np.array([[np.cos(curr_x[-1]), 0.], + [np.sin(curr_x[-1]), 0.], + [0., 1.]]) + # calc dot + x_dot = np.matmul(B, u[:, np.newaxis]) + # next state + next_x = x_dot.flatten() * self.dt + curr_x + + return next_x + + elif len(u.shape) == 2: + (pop_size, state_size) = curr_x.shape + (_, input_size) = u.shape + # B.shape = (pop_size, state_size, input_size) + B = np.zeros((pop_size, state_size, input_size)) + # insert + B[:, 0, 0] = np.cos(curr_x[:, -1]) + B[:, 1, 0] = np.sin(curr_x[:, -1]) + B[:, 2, 1] = np.ones(pop_size) + + # x_dot.shape = (pop_size, state_size, 1) + x_dot = np.matmul(B, u[:, :, np.newaxis]) + # next state + next_x = x_dot[:, :, 0] * self.dt + curr_x + + return next_x + \ No newline at end of file diff --git a/README.md b/README.md index e4381d4..5e6c523 100644 --- a/README.md +++ b/README.md @@ -1,20 +1,25 @@ [![MIT licensed](https://img.shields.io/badge/license-MIT-blue.svg)](LICENSE) +[![Coverage Status](https://coveralls.io/repos/github/Shunichi09/PythonLinearNonlinearControl/badge.svg?branch=master)](https://coveralls.io/github/Shunichi09/PythonLinearNonlinearControl?branch=master) +[![Build Status](https://travis-ci.org/Shunichi09/PythonLinearNonlinearControl.svg?branch=master)](https://travis-ci.org/Shunichi09/PythonLinearNonlinearControl) # PythonLinearNonLinearControl PythonLinearNonLinearControl is a library implementing the linear and nonlinear control theories in python. +![Concepts](assets/concepts.png) + # Algorithms | Algorithm | Use Linear Model | Use Nonlinear Model | Need Gradient (Hamiltonian) | Need Gradient (Model) | -|:----------|:---------------:|:----------------:|:----------------:| +|:----------|:---------------: |:----------------:|:----------------:|:----------------:| | Linear Model Predictive Control (MPC) | ✓ | x | x | x | | Cross Entropy Method (CEM) | ✓ | ✓ | x | x | | Model Preidictive Path Integral Control (MPPI) | ✓ | ✓ | x | x | | Random Shooting Method (Random) | ✓ | ✓ | x | x | -| Iterative LQR (iLQR) | ✓ | ✓ | x | ✓ | -| Nonlinear Model Predictive Control -CGMRES- (NMPC-CGMRES) | ✓ | ✓ | ✓ | x | -| Nonlinear Model Predictive Control -Newton- (NMPC-Newton) | ✓ | ✓ | x | x | +| Iterative LQR (iLQR) | x | ✓ | x | ✓ | +| Unconstrained Nonlinear Model Predictive Control (NMPC) | x | ✓ | ✓ | x | +| Constrained Nonlinear Model Predictive Control CGMRES (NMPC-CGMRES) | x | ✓ | ✓ | x | +| Constrained Nonlinear Model Predictive Control Newton (NMPC-Newton) | x | ✓ | x | x | "Need Gradient" means that you have to implement the gradient of the model or the gradient of hamiltonian. This library is also easily to extend for your own situations. @@ -35,24 +40,24 @@ Following algorithms are implemented in PythonLinearNonlinearControl - [script]() - [Iterative LQR (iLQR)](https://ieeexplore.ieee.org/document/6386025) - Ref: Tassa, Y., Erez, T., & Todorov, E. (2012, October). Synthesis and stabilization of complex behaviors through online trajectory optimization. In 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems (pp. 4906-4913). IEEE. and [Study Wolf](https://github.com/studywolf/control) - - [script]() -- [Unconstrained Nonlinear Model Predictive Control](https://www.sciencedirect.com/science/article/pii/S0005109897000058) + - [script (Coming soon)]() +- [Unconstrained Nonlinear Model Predictive Control (NMPC)](https://www.sciencedirect.com/science/article/pii/S0005109897000058) - Ref: Ohtsuka, T., & Fujii, H. A. (1997). Real-time optimization algorithm for nonlinear receding-horizon control. Automatica, 33(6), 1147-1154. - - [script]() + - [script (Coming soon)]() - [Constrained Nonlinear Model Predictive Control -CGMRES- (NMPC-CGMRES)](https://www.sciencedirect.com/science/article/pii/S0005109897000058) - Ref: Ohtsuka, T., & Fujii, H. A. (1997). Real-time optimization algorithm for nonlinear receding-horizon control. Automatica, 33(6), 1147-1154. - - [script]() + - [script (Coming soon)]() - [Constrained Nonlinear Model Predictive Control -Newton- (NMPC-Newton)](https://www.sciencedirect.com/science/article/pii/S0005109897000058) - Ref: Ohtsuka, T., & Fujii, H. A. (1997). Real-time optimization algorithm for nonlinear receding-horizon control. Automatica, 33(6), 1147-1154. - - [script]() + - [script (Coming soon)]() # Environments | Name | Linear | Nonlinear | State Size | Input size | -|:----------|:---------------:|:----------------:|:----------------:| +|:----------|:---------------:|:----------------:|:----------------:|:----------------:| | First Order Lag System | ✓ | x | 4 | 2 | -| Auto Cruse Control System | x | ✓ | 4 | 2 | -| Two wheeled System | x | ✓ | 4 | 2 | +| Two wheeled System (Constant Goal) | x | ✓ | 3 | 2 | +| Two wheeled System (Moving Goal) (Coming soon) | x | ✓ | 3 | 2 | All environments are continuous. **It should be noted that the algorithms for linear model could be applied to nonlinear enviroments if you have linealized the model of nonlinear environments.** @@ -98,6 +103,8 @@ python scripts/simple_run.py --model "first-order_lag" --controller "CEM" When we design control systems, we should have **Model**, **Planner**, **Controller** and **Runner** as shown in the figure. It should be noted that **Model** and **Environment** are different. As mentioned before, we the algorithms for linear model could be applied to nonlinear enviroments if you have linealized model of nonlinear environments. In addition, you can use Neural Network or any non-linear functions to the model, although this library can not deal with it now. +![Concepts](assets/concepts.png) + ## Model System model. 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