Week 20 · Improve: Validate the route as a system
Session 4 of 4 · Follow waypoints · Phase 5
Plan about 15 minutes for explanation, 30 minutes for practical work and 10–15 minutes for documentation. A longer build may continue into the next session: stop safely, commit the current state and record the next check. Desktop simulations count as software evidence; label them clearly and record physical validation separately.
Engineering challenge
How can a planned position become reliable, bounded physical motion? This session focuses on validate the route as a system.
Before you start
The previous week’s recorded baseline and Week 19, Improve. For later sessions this week, retain the preceding session’s files and predictions.
Equipment: Desktop Python, editor, paper and ruler; for physical work, the configured 3pi+ 2040, clear floor mat and hardware checklist. Week 3 additionally uses the separate low-voltage LED circuit described in its procedure.
For any motion, verify the stop button, short time limit and clear floor area first. Keep the wheels raised for a new device program until its commands and stop behaviour are checked. A hazard or uncertain input is a reason to stop and document, not to force the trial to finish.
Theory and mathematics
Validate the route as a system
Compare endpoint position measured by a ruler with the estimated endpoint. Also measure cross-track deviation where practical. A waypoint controller needs tolerances that fit the actual floor map; too-wide tolerances can cut corners, while too-tight ones can oscillate indefinitely. Freeze tolerances before validation. If a failure reveals a defect, repair it and start a new validation batch with the new version. Do not combine results from incompatible versions into one success percentage.
Worked example — illustrative values
For pose (0,0,170°) and a target bearing −170°, the shortest heading error is +20°, not −340°. With b = 0.10 m, v = 0.10 m/s and ω = 0.50 rad/s, vL = 0.075 m/s and vR = 0.125 m/s. These are wheel-speed targets requiring calibrated device conversion.
Write the calculation in your notebook before running code. State which values you measured, which you assumed and which the program calculates. A correct numerical calculation cannot rescue an incorrect physical assumption.
Run and explain the model
The following is desktop Python, not a ready-to-run motor program. Download this week’s example, save it in your student repository and run python3 code/w20.py from the repository root. The same small model is reused across the week so you can learn it, build with it, test it and revise it.
# Desktop Python teaching example. Numerical inputs are illustrative.
from math import atan2, sin, cos, hypot, radians
def waypoint_action(pose, target, tolerance_m=0.03):
x, y, theta = pose
dx, dy = target[0] - x, target[1] - y
if hypot(dx, dy) <= tolerance_m:
return "arrived", 0.0, 0.0
error = atan2(sin(atan2(dy, dx) - theta), cos(atan2(dy, dx) - theta))
if abs(error) > radians(8):
return "turn", 0.0, max(-0.5, min(0.5, 2 * error))
return "advance", min(0.1, hypot(dx, dy)), max(-0.3, min(0.3, error))
print(waypoint_action((0, 0, radians(170)), (-1, -0.1763)))
print(waypoint_action((0, 0, 0), (0.02, 0)))
Compare the unchanged baseline and your proposed change on the same inputs. Keep the original files so another reader can reproduce the comparison. If an exception appears, read its final line, identify the input or assumption that caused it and make the smallest explained correction. Do not delete validation merely to obtain output.
Understanding the model and its limits
The function first checks arrival distance, then computes a wrapped heading error. Large error selects a turn with zero forward target; a small error permits a slow advance with bounded correction. The returned values are desired centre speed and turn rate, not raw motor commands. The integration layer must apply validity/hazard priority before translating them to calibrated wheel control. Test a target behind the robot and targets across the ±π seam. An odometry arrival can disagree with measured endpoint, so retain independent truth and examine tolerance-related corner cutting on the mapped route.
Practical instructions
- Choose one change to tolerance or turn gain from the development evidence.
- Freeze planner/map/controller settings and validate on a fresh three-waypoint route.
- Write a system report separating planner, estimate, controller and sensor failures.
- Archive exact settings and source revision as the Phase 5 baseline.
Experiment
Validate three fresh runs after freezing settings; report mean error, range and failures without selecting only successes.
Before testing, record your prediction, changed factor, measured response, fixed conditions and stopping rule. Save every attempted run, including failures, with a condition and source version. If hardware is unavailable, use an explicitly labelled synthetic/replay dataset and list the physical question it cannot answer. Do not invent completed trials.
Deliverable
A reproducible route validation report and an explicit qualified operating area.
Save notebook/w20-s4.md, the relevant code revision, raw CSV or test-case records, and one labelled diagram/plot/table. Link the files relatively from your notebook. Use the entry template and report guide.
Completion criteria
- Explain validate the route as a system in your own words using this session’s example and its units/assumptions.
- Produce the specific evidence above: A reproducible route validation report and an explicit qualified operating area.
- Keep predictions and raw outcomes, distinguish observations from interpretation, and explain one limitation or unresolved failure.
- Review the Git diff, commit the session’s intended files and state the next experiment or safe continuation point.
A documented failed prediction can meet the learning criteria. A missing physical trial must remain marked untested; software success alone does not validate the robot.
Reading and video
- Focused reading: Amit Patel: graph search introduction. Study task: Explain why a graph edge still needs a physical motion controller.
- Video/lecture option: MIT OpenCourseWare: Macro ME robot demonstration. Study task: Compare its sensors with your robot; do not copy hardware assumptions. Watch a relevant 5–10 minute excerpt or use the linked notes if video is inaccessible. This is supporting conceptual material; hardware in a demonstration may differ from yours.
- Practical reference: Engineering handbook and hardware setup. Manufacturer/API references and video metadata were checked on 2026-10-09; recheck the actual firmware before transferring code.
Reflection and next step
Which assumption most affected your result? Point to one observation that supports your explanation and one alternative explanation the evidence has not ruled out. Write a specific next test with a changed factor and measurable outcome, then proceed through the week’s Learn → Build → Experiment → Improve cycle.