Note: ORAC-NT stands for Autonomous Recovery Controller — Neural Telemetry. This is unrelated to the ORAC (Oxygen Radical Absorbance Capacity) antioxidant measurement method.
Autonomous Fault Detection, Isolation, and Recovery (FDIR) architecture for spacecraft and critical embedded systems.
ORAC-NT introduces a Lyapunov-guided autonomous recovery architecture driven by a scalar health metric:
W = Q · D − T
where:
- Q = subsystem quality score (1 − fault score)
- D = operational diversity (1 − workload ratio)
- T = thermal/stress factor
Recovery stability is guaranteed via the Lyapunov function:
V = (W* − W)²
The planner selects actions that monotonically decrease V, providing formal stability guarantees — not just heuristic recovery.
| Test | Missions | Detection Rate | False Alarms | Avg Latency |
|---|---|---|---|---|
| Silent Drift | 1,000 | 100% | 0 | 30.4 steps |
| Byzantine | 1,000 | 100% | 0 | 24.8 steps |
| Cascading | 2,000 | 100% | 0 | 13.2 steps |
| Final Boss | 5,000 | 100% | 0 | 16.6 steps |
| Total | 9,000 | DR = 100% | FA = 0 | — |
| Metric | Random Planner | Lyapunov Planner | Δ |
|---|---|---|---|
| Recovery Rate | 57.3% | 100% | +42.7 pp |
| Avg Steps to Recovery | 4.68 | 2.08 | 2.3× faster |
| Strategy | Avg Steps | Improvement |
|---|---|---|
| Random | 10.86 | — |
| ORAC Lyapunov | 2.30 | ~79% |
| Metric | Result |
|---|---|
| Correct isolations | 100% |
| False isolations | 0 |
| Metric | Result |
|---|---|
| Energy reduction | 16.1% vs baseline |
| Detection Rate maintained | 100% |
| Peak savings (SURVIVAL mode) | 66.7% |
| Metric | Value |
|---|---|
| Total steps | 10,000 (8.3 min @ 20 Hz) |
| Recovery rate under shocks | 95.7% |
| Mean detection latency | 3.2 ms |
| False positives | 0 |
┌─────────────────────────────────────────────────────┐
│ ORAC-NT v5.5 │
│ │
│ Sensors → Watchdog_v5 → OracController_v5 │
│ (CUSUM) (W = Q·D − T) │
│ │ │
│ LyapunovPlanner │
│ V = (W* − W)² │
│ argmin_a V(W_predicted) │
│ │ │
│ NORMAL / SURVIVAL / RECOVERY │
└─────────────────────────────────────────────────────┘
Watchdog_v5 — CUSUM-based fault detector with Byzantine majority voting (3 sensors). OracController_v5 — Computes W and switches operational mode. LyapunovPlanner — Greedy minimization of V; guarantees monotone recovery. DualSensorFusion — Isolates faulty sensor from two physical IMUs. GravOptController — Adaptive parameter freezing driven by W (16.1% energy savings). MicroSafe-RL — STM32F401 safety layer (~1.2 µs latency, 24 bytes RAM, MISRA-C compliant).
Tested on Arduino UNO Q (Qualcomm QRB2210 + STM32U585) with MPU-6050 IMU:
Board: Arduino UNO Q
Sensor: ZX-MPU6050 (GY-521), I²C
Wiring: VCC→3.3V GND→GND SDA→A4 SCL→A5
- Real gravity reading:
gz ≈ 1.034g✓ - Auto-calibration: 100-step per-axis baseline ✓
- Physical motion detection → SURVIVAL mode ✓
- Recovery to NORMAL after motion stops ✓
orac_core.py # Core — Watchdog_v5, OracController_v5, FaultGenerator
orac_final_proof.py # Full benchmark — 9,000 missions, DR 100%, FA 0
orac_lyapunov_dual.py # Lyapunov planner + dual sensor Byzantine test
orac_gravopt_phase1.py # GravOpt Phase 1 — 16.1% energy reduction
orac_hardware.py # Hardware — Arduino UNO Q + MPU-6050 (single sensor)
orac_hardware_dual.py # Hardware — dual MPU-6050 Byzantine isolation
orac_benchmark.py # Recovery benchmark — ~79% improvement vs random
ORAC_CubeSat.py # CubeSat orbital simulation
orac_visual_simulator.py # Visual simulator
pip install numpy matplotlib pyserial
# Run full benchmark (simulation)
python orac_final_proof.py
# Run Lyapunov planner + dual sensor test
python orac_lyapunov_dual.py
# Run recovery benchmark
python orac_benchmark.py
# Run hardware test (requires Arduino on COM4)
python orac_hardware.py
# Run dual sensor hardware test (requires 2x MPU-6050)
python orac_hardware_dual.pyC1 — Health Metric
Scalar vitality function W = Q·D − T for real-time spacecraft state estimation.
Derived from the principle of useful work: capacity minus dissipation.
C2 — Lyapunov-Guided Recovery Architecture Planner selects actions with ΔV ≤ 0, providing formal stability guarantees. Integrates: health metric + stochastic fault detection + real-time planning.
C3 — Empirical Validation 9,000 adversarial missions, DR 100%, FA 0. Hardware-validated on real IMU (TRL 4), 3.2 ms detection latency.
- FAAST — Facilitating Autonomy in Astrodynamics (CORDIS 101063274)
- LUMIO — ESA 12-U CubeSat lunar mission
- NASA Remote Agent — autonomous spacecraft control
- Google Project Suncatcher — orbital AI compute (TPU bit-flip fault context)
@misc{kretski2026oracnt,
author = {Kretski, Dimitar},
title = {ORAC-NT v5.x: Optimal and Stable FDIR Architecture for
Autonomous Spacecraft and Critical Systems},
year = {2026},
doi = {10.5281/zenodo.20248197},
publisher = {Zenodo}
}Dimitar Kretski — Independent researcher, Varna, Bulgaria GitHub: github.com/Kretski Zenodo: 10.5281/zenodo.20248197 Email: kretski1@gmail.com
ORAC-NT is a simulation and research prototype (TRL 4). Not yet qualified for flight use. Patent pending — Bulgarian Patent Office, filed 05.12.2025 (SynergyFF).