Curve Fitting

See a model fit

A natural cubic spline, refit live — the same kind of curve-fitting behind every model this practice builds.

Click to place a measurement. The curve refits every time.


State-Space Models

Multidomain state-space

Different physics, same governing form: $$\dot{x}(t) = Ax(t) + Bu(t), \quad y(t) = Cx(t) + Du(t)$$

u(t) R L C v_C i →

State: capacitor voltage v_C (V) and current i (A) — response to a 1 V step.

m k c x

State: displacement x (m) and velocity ẋ (m/s) — response to a 1 N step. Stiffer k → smaller steady-state x.

T_amb R C T

State: temperature T (°C), driven by heat flow through R — response to a 1°C ambient step.

Time (s)

      

Our Approach

Philosophy

Nous Engineering treats complexity as something to eliminate, not manage. A model that's actually right tends to look deceptively simple once it's finished — the redundant terms are the first thing to go. That standard holds whether the system is electrical, mechanical, thermal, or structural, because the underlying discipline is the same.

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Capabilities

Where we help

Control Systems — LQR, MPC, state estimation
Energy — wind, battery, thermal systems
Oil & Gas — ESP, mooring, riser mechanics
Dynamic Systems — rotating machinery, multibody mechanics
Robotics — manipulation, magnetic navigation, healthcare robotics
Multidomain Modeling — coupled physics, FMU export
Agentic Frameworks — LLM-driven simulation tools

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Get Started

Have a system to model?

Tell us what you're working on — we'll tell you if we're a fit.

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