05 / APPLIED RESEARCHINVENTOR'S NOTEBOOK / METHOD 001

QUESTION.
MODEL.
EVIDENCE.

Engineering begins when an idea becomes a testable model. The work is in making assumptions visible, then investigating where they fail.

OPEN THE RESEARCH NOTEBOOK ↘

Illustrative engineering workbench and technical apparatus — BADGER WORKS / ILLUSTRATIVE RESEARCH VISUALIZATION

EXODUS / APPLIED RESEARCH

BADGER
WORKS.

WHERE THEORY MEETS ENGINEERING.

Badger Works is the experimental research and development initiative within Exodus Industries, focused on investigating concepts, developing engineering methods, and progressing ideas toward physical validation.

BADGER WORKS / RESEARCH & EXPERIMENTAL ENGINEERINGEXODUS INDUSTRIES

01INVESTIGATE

02MODEL

03EXPERIMENT

04REFINE

Conceptual engineering workbench with test instruments

MOVE TO REVEAL THE PROCESSRESEARCH / VISUAL STUDY

BADGER WORKS / ENGINEERING METHODSMODEL → TEST → REASSESS

BADGER WORKS / INVESTIGATION LOG 001

THE MODEL
IS THE TEST.

RESEARCH ARTIFACT / 2026

Four-wheel X-drive geometry, motion feasibility, and a constrained feedback law. An analytical study with numerical integrations, not a record of completed physical robot testing.

Concept diagram for geometric robot control

PROJECT / FOUR-WHEEL X-DRIVEMATHEMATICAL MODEL

01 / QUESTION

WHAT MOTIONS ARE FEASIBLE?

Which planar movements remain achievable when all four wheel speeds are bounded?

02 / MODEL

GEOMETRY + ACTUATOR LIMITS

Wheel-speed kinematics, an SE(2) pose-error formulation, and a polyhedral feasible-twist constraint.

03 / ANALYTICAL RESULT

EXPLICIT BOUNDS

Derived the ideal wheel-speed map and local controller behavior; illustrated the equations through numerical integration.

04 / LIMITATIONS & NEXT STEP

CALIBRATION BEFORE CLAIMS

Real traction, sensor errors and hardware behavior still require measurement. Next: calibrate wheel geometry and compare observed motion with the model.

READ THE ORIGINAL 2026 MANUSCRIPT ↗

METHOD / NOT A CLAIM OF VALIDATION

FROM HYPOTHESIS
TO EVIDENCE.

Investigation begins with physical constraints, followed by modeling and instrumented experiments when resources and supervision permit. Each iteration should narrow the gap between a concept and a verifiable result.

OUR ENGINEERING PRINCIPLES ↗