Week 4 · Build: Bounded motion programs
Session 2 of 4 · Motors and motion · Phase 1
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 much can a timed motor command tell you about actual motion? This session focuses on bounded motion programs.
Before you start
The previous week’s recorded baseline and Week 3, 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
Bounded motion programs
Open-loop motion specifies a command and a duration, then stops without measuring whether the goal was achieved. It is useful for characterization if every run has a timeout and a reachable stop. Do not assume stopping occurs instantly: inertia and friction determine the coast after power is removed. The supplied bounded-pulse file uses verified library names, but the course has not been physically piloted on your robot. First test with wheels raised, calibrate bump sensors released, and confirm button C stops before floor use. A finally block is cleanup, not protection against power failure or a frozen processor.
Worked example — illustrative values
For illustrative 0.5 s trials at command 300 and 600 travelling 0.04 and 0.10 m, speeds are 0.08 and 0.20 m/s. The local slope is (0.20 − 0.08)/(600 − 300) = 0.0004 m/s per command unit. It predicts 0.14 m/s at 450. These are fictional values, not a safe command recommendation.
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/w04.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.
command = [300, 600]
speed_m_s = [0.08, 0.20] # fictional
slope = (speed_m_s[1] - speed_m_s[0]) / (command[1] - command[0])
intercept = speed_m_s[0] - slope * command[0]
print("predicted_m_s", slope * 450 + intercept)
Run the example on desktop Python before adapting it. Change one valid input and check the result; keep device-only calls in a separate adapter. 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 two-point slope is rise in measured speed divided by rise in command: its units are m/s per command unit. The intercept makes the straight line pass through the first point. With the illustrative points the model predicts 0.14 m/s at command 450. This is interpolation between measured settings. Extrapolating to zero or a very large command is unjustified because friction creates a dead zone and the motor/battery imposes limits. Plot raw points beside the fitted segment. A two-point fit has no spare evidence to assess its own quality, so reserve another setting for validation.
Practical instructions
- Download bounded-pulse.py and read the hardware guide before transferring.
- Keep defaults at a short low pulse; press A to arm only after verifying wheels-raised behaviour.
- Confirm C aborts, motor direction, automatic timeout and bump stop before a floor pilot.
- Record actual pulse duration/counts and the floor distance; do not increase drive when a motor is obstructed.
Experiment
Run three bounded pilots with unchanged settings; compare the printed software duration with floor observations and stop behaviour.
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
Verified stop controls and three recorded pilots; no floor run before the raised-wheel checks pass.
Save notebook/w04-s2.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 bounded motion programs in your own words using this session’s example and its units/assumptions.
- Produce the specific evidence above: Verified stop controls and three recorded pilots; no floor run before the raised-wheel checks pass.
- 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: Pololu: motors and motor examples. Study task: Explain why a motor command is not a measured wheel speed.
- Video/lecture option: CS50 Python: loops. Study task: Connect bounded repetition to a repeatable motor-command plan. 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.