Linearize winch+tether model

[ufechner7]

For designing a robust controller a linearized model would be an advantage.

• linearize winch + simple kite
• linearize winch + tether + simple kite
• linearize winch + tether + advanced kite

[ufechner7]

Possibly also linearize?

Possible inputs for linearization:

• wind speed
• cross-wind kite speed
• set torque

Possible output:

• reel-out speed

See: https://www.perplexity.ai/search/i-have-a-nonlinear-numeric-mod-u4.TdW.MQdG099VtnSmPsQ

[ufechner7]

Bart wrote: I think the inputs should be the set torque, wind speed, kite speed and optionally ground speed (for if the winches are on a moving platform).

[1-Bart-1]

An example on how to linearize using AutoFiniteDiff and customizable inputs:
https://github.com/Albatross-Kite-Transport/VortexStepMethod.jl/blob/81a402d16204ac9fab65383cdb101b576d96e189/src/solver.jl#L637C1-L751C4

[ufechner7]

Linearizing the simple winch and kite model is implemented, see example stability_ufc.jl.