Engine Cruise Control Modelling

I’m putting together the first technical milestone for a car cruise-control study and need a solid, textbook-quality model of the engine control system. The scope is limited to the open-loop stage, yet everything has to be neat enough to drop straight into a later feedback-design task.

Here’s what I need from you:

• System definition: a concise description of the cruise-control engine subsystem, highlighting the throttle actuator’s role only where it affects the single selected sensor signal—engine speed.
• Inputs & outputs table plus the governing equations that connect throttle position to engine rpm.
• Transfer function derivation in the Laplace domain, clearly showing assumptions and simplifications.
• Open-loop analysis: step and impulse responses plotted, poles and zeros located, rise time, settling time, peak overshoot, and steady-state gain calculated and briefly interpreted.
• Schematic: a simple, well-labelled block diagram (vector PDF or high-resolution PNG) that places the engine speed sensor in context.
• A short paragraph on modelling choices and any data sources you referenced.

MATLAB/Simulink, Python (control & matplotlib), or similar tools are all fine as long as the code is commented and reproducible. Deliver everything in a single report (Word or PDF) plus the raw script files.

If anything in the brief is unclear, tell me early—I’d rather clarify up front than revise later.