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---
license: mit
language:
- en
tags:
- reinforcement-learning
- pytorch
- ppo
- aerospace
- flight-control
- boeing-747
- continuous-control
- gymnasium
library_name: tensoraerospace
pipeline_tag: reinforcement-learning
model-index:
- name: PPO-B747-PitchControl
results:
- task:
type: reinforcement-learning
name: Pitch Angle Tracking Control
dataset:
type: custom
name: Boeing 747 Longitudinal Dynamics Simulation
metrics:
- type: eval_reward
value: 0.9137
name: Best Evaluation Reward
- type: overshoot
value: 0.49
name: Overshoot (%)
- type: settling_time
value: 0.60
name: Settling Time (s)
- type: rise_time
value: 0.30
name: Rise Time (s)
- type: static_error
value: 0.0046
name: Static Error
---
# PPO Agent for Boeing 747 Pitch Angle Control
<div align="center">

**Proximal Policy Optimization (PPO) for Longitudinal Aircraft Control**
[](https://github.com/TensorAeroSpace/TensorAeroSpace)
[](https://opensource.org/licenses/MIT)
[](https://pytorch.org/)
</div>
## Model Description
This model is a **Proximal Policy Optimization (PPO)** agent trained to control the pitch angle (θ) of a **Boeing 747** aircraft in a longitudinal flight dynamics simulation. The agent receives normalized state observations and outputs continuous elevator deflection commands to track reference pitch angle signals.


### Intended Uses
- **Primary Use**: Automatic pitch angle tracking and stabilization for Boeing 747 aircraft simulation
- **Research Applications**: Benchmarking RL algorithms for aerospace control systems
- **Educational**: Learning reinforcement learning concepts in aerospace applications
- **Hybrid Control**: Can be combined with PID/MPC controllers for robust flight control
### Model Architecture
The PPO agent consists of separate **Actor** and **Critic** neural networks:
#### Actor Network (Policy)
| Layer | Configuration |
|-------|--------------|
| Input | 4 (observation dim) |
| Hidden 1 | Linear(4, 256) + ReLU |
| Hidden 2 | Linear(256, 256) + ReLU |
| Output (μ) | Linear(256, 1) + Tanh |
| Output (log σ) | Linear(256, 1), clamped to [-5.0, -1.5] |
#### Critic Network (Value Function)
| Layer | Configuration |
|-------|--------------|
| Input | 4 (observation dim) |
| Hidden 1 | Linear(4, 256) + ReLU |
| Hidden 2 | Linear(256, 256) + ReLU |
| Output | Linear(256, 1) |
### State Space
The observation vector consists of 4 normalized states representing the longitudinal dynamics:
| Index | State | Description | Units |
|-------|-------|-------------|-------|
| 0 | u | Forward velocity perturbation | normalized |
| 1 | w | Vertical velocity perturbation | normalized |
| 2 | q | Pitch rate | normalized |
| 3 | θ | Pitch angle (tracking target) | normalized |
### Action Space
| Dimension | Description | Range |
|-----------|-------------|-------|
| 1 | Elevator deflection | [-1.0, 1.0] (normalized) |
The normalized action is scaled to physical elevator deflection in degrees by the environment.
## Training Details
### Training Configuration
| Hyperparameter | Value |
|----------------|-------|
| Algorithm | PPO (Clip) |
| Max Episodes | 90,000 |
| Rollout Length | 256 steps |
| Batch Size | 16,384 |
| Epochs per Update | 2 |
| Clip Parameter (ε) | 0.15 |
| Discount Factor (γ) | 0.995 |
| GAE Lambda (λ) | 0.95 |
| Actor Learning Rate | 1e-4 |
| Critic Learning Rate | 2e-4 |
| Entropy Coefficient | 0.01 |
| Max Gradient Norm | 0.5 |
| Target KL | 0.01 |
| Normalize Observations | False |
| Normalize Rewards | True |
### Environment Configuration
| Parameter | Value |
|-----------|-------|
| Environment | `ImprovedB747VecEnvTorch` |
| Number of Parallel Envs | 64 |
| Time Step (dt) | 0.1 s |
| Episode Duration | 20 s |
| Initial State | [0, 0, 0, 0] |
| Reference Signal | Step function |
| Step Amplitude Range | 1.0° |
| Step Time Range | 5.0 s |
### Training Infrastructure
- **Hardware**: NVIDIA GPU with CUDA support
- **Framework**: PyTorch 2.0+
- **Training Time**: ~7,510 episodes to best checkpoint
- **Best Episode**: 7,510
## Evaluation Results
### Performance Metrics
| Metric | Value |
|--------|-------|
| **Best Evaluation Reward** | 0.9137 |
| **Overshoot** | 0.49% |
| **Settling Time** | 0.60 s |
| **Rise Time** | 0.30 s |
| **Peak Time** | 0.80 s |
| **Static Error** | -0.0046 |
| **Oscillation Count** | 1 |
| **Performance Index** | 3.06 |
### Integral Criteria
| Criterion | Value |
|-----------|-------|
| IAE (Integral Absolute Error) | 4.08 |
| ISE (Integral Squared Error) | 2.64 |
| ITAE (Integral Time-weighted Absolute Error) | 4.77 |
### Step Response Characteristics
The agent demonstrates excellent step tracking performance with:
- ✅ Minimal overshoot (<1%)
- ✅ Fast settling time (0.6s)
- ✅ Quick rise time (0.3s)
- ✅ Near-zero static error
- ✅ Minimal oscillations (1 cycle)
## Usage
### Installation
```bash
pip install tensoraerospace
```
### Quick Start
```python
import numpy as np
import torch
from tensoraerospace.agent.ppo.model import PPO
from tensoraerospace.envs.b747 import ImprovedB747Env
from tensoraerospace.signals.standart import unit_step
from tensoraerospace.utils import generate_time_period, convert_tp_to_sec_tp
# Load pretrained agent
agent = PPO.from_pretrained("TensorAeroSpace/ppo-b747-pitch-control")
# Setup environment
dt = 0.1
tp = generate_time_period(tn=20, dt=dt)
tps = convert_tp_to_sec_tp(tp, dt=dt)
# Create step reference signal (1 degree step at t=5s)
reference = unit_step(tp=tps, degree=1.0, time_step=5.0, output_rad=True).reshape(1, -1)
env = ImprovedB747Env(
initial_state=np.array([0.0, 0.0, 0.0, 0.0], dtype=np.float32),
reference_signal=reference,
number_time_steps=len(tp),
dt=dt,
)
# Run evaluation
obs, _ = env.reset()
done = False
while not done:
action, mean_action, _ = agent.act(obs, deterministic=True)
action_scalar = float(np.asarray(mean_action).flatten()[0])
obs, reward, terminated, truncated, info = env.step(action_scalar)
done = terminated or truncated
```
### Load from Local Checkpoint
```python
from tensoraerospace.agent.ppo.model import PPO
# Load from local directory
agent = PPO.from_pretrained("./path/to/checkpoint")
```
## Limitations
- **Fixed Aircraft Model**: Trained specifically on Boeing 747 longitudinal dynamics; may not generalize to other aircraft
- **Step Reference Only**: Optimized for step reference tracking; performance on other signal types (sine, ramp) may vary
- **Simulation Gap**: Trained in simulation; real-world deployment would require additional validation
- **State Observability**: Assumes all 4 longitudinal states are observable
- **Linear Dynamics**: Based on linearized aircraft model around trim conditions
## Ethical Considerations
- **Not for Real Flight Control**: This model is for research and educational purposes only. It should NOT be used for actual aircraft control systems without extensive testing, certification, and regulatory approval.
- **Simulation Only**: All training and evaluation performed in simulation environments.
## Citation
If you use this model in your research, please cite:
```bibtex
@software{tensoraerospace2024,
title = {TensorAeroSpace: Advanced Aerospace Control Systems \& Reinforcement Learning Framework},
author = {TensorAeroSpace Team},
year = {2024},
url = {https://github.com/TensorAeroSpace/TensorAeroSpace},
license = {MIT}
}
```
## Model Card Authors
TensorAeroSpace Team
## Model Card Contact
- **GitHub**: [TensorAeroSpace/TensorAeroSpace](https://github.com/TensorAeroSpace/TensorAeroSpace)
- **Documentation**: [tensoraerospace.readthedocs.io](https://tensoraerospace.readthedocs.io/)
- **Hugging Face**: [TensorAeroSpace](https://huggingface.co/TensorAeroSpace)
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