Shunyaya Symbolic Mathematical Hardware – Operational Playbooks: Automotive, EV & Robotics (4.1–4.3)

4.1 — Automotive (braking and traction)

  • Scenario. Smooth braking on mixed surfaces; stable traction on patchy grip.
  • Inputs. Wheel/vehicle signals with alignments from estimator health; slip ratio of interest.
  • Behavior. Slip value remains as-is; a bounded confidence shows when it is fragile. Controllers temper aggressiveness only when confidence dips.
  • Week-1 pilot. Add the lane to slip and speed ratios; band dashboards; do not touch actuator code.
  • KPIs & acceptance. Fewer oscillations and re-entries, equal or shorter stop distance, zero new NaN/Inf in logs.
  • Calculator-fast example.
    Given a_f = +0.5, a_g = +0.2
    u_f = atanh(0.5) = 0.5493061443340549
    u_g = atanh(0.2) = 0.2027325540540821
    u_div = u_f - u_g = 0.3465735902799728
    a_div = tanh(u_div) = 0.3333333333333334
    Effect. Slip value stays classical; band near a_div ≈ +0.33 flags fragile evidence for gentle integrator / widened guards.

4.2 — EV battery systems (range steadiness and life)

  • Scenario. Calm state-of-charge estimates; gentler charge/discharge boundaries when evidence is weak.
  • Inputs. Coulomb count, OCV, impedance — each with alignment.
  • Behavior. Fusion confidence is order-invariant; policies ease back only when confidence drops, extending life without hurting range.
  • Week-1 pilot. Publish lane next to SoC and time-remaining; band alarms; leave charge limits unchanged.
  • KPIs & acceptance. Lower ETA variance, fewer nuisance alarms, identical collapsed SoC.
  • Calculator-fast example.
    Given a1 = +0.6 (w1 = 2), a2 = +0.4 (w2 = 1)
    u1 = atanh(0.6) = 0.6931471805599453
    u2 = atanh(0.4) = 0.42364893019360184
    U = 2*u1 + 1*u2 = 1.8099432913134925
    W = 3
    a_out = tanh(U/W) = tanh(0.6033144304378308) = 0.5394038427298947

4.3 — Motor drives & robotics (observer sanity and singularities)

  • Scenario. Avoid limit cycles and jerky motion near kinematic or sensing edges.
  • Inputs. Phase currents, angle observers, Jacobian metrics — each with alignment.
  • Behavior. Observers keep classical numbers; bandwidth/jerk shaping follow bands from the lane.
  • Week-1 pilot. Add lanes to observer outputs; schedule bandwidth by bands in advisory mode.
  • KPIs & acceptance. Reduced limit cycles, smoother step responses, unchanged steady-state error.
  • Calculator-fast example.
    Given a = {+0.6, +0.6, -0.2}, equal weights
    u = {0.6931471806, 0.6931471806, -0.2027325541}
    U = 1.1835618070658085, W = 3
    a_out = tanh(U/W) = tanh(0.3945206023552695) = 0.3752508431504078

Navigation
Back: Shunyaya Symbolic Mathematical Hardware – Fixed-Point & Invariance Guards (3.17–3.19)
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Directory of Pages
SSMH – Table of Contents

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https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Hardware

Disclaimer
The contents in the Shunyaya Symbolic Mathematical Hardware (SSMH) materials are research/observation material. They are not engineering advice, not a safety standard or certification, and not operational guidance. Do not use for safety-critical, medical, legal, or financial decisions. Use at your own discretion; no warranties are provided; results depend on correct implementation and inputs.