Electrical Power Assisted Steering System Simulation

I'm in need of a skilled engineer who can model and simulate an Electrical Power Assisted Steering System (EPAS). I expect the simulation results to be highly detailed, with comprehensive analysis presented in the form of graphs and charts.

1) Derive a set of non-linear governing equations that describes the dynamics of the
system.
2) Determine the equilibrium points of the system and derive the
linearized models of the system around the equilibrium points.
3) Represent the linearized model in state-space form:
? = ? ? + ? ?
? = ? ? + ? ?
4) Obtain the transfer functions associated with state-space model (find the
transfer function associated with each input-output pair).
4) obtain analogous system representation in mechanical and electrical
format.
5) Simulate and plot the open-loop state variables in response to
different initial conditions and external inputs. (Solution of state and
output equations using Matlab software).
6) Simulate and plot the closed-loop state variables in response to
different feedback Gain K Vector (you may use Matlab software).
7) Study the effect of fluctuation in system parameters (parameters of
your mathematical model) on the stability of the system. (you may use
Matlab software)

Key Responsibilities:
- Develop a model for the EPAS system
- Conduct simulations to ensure accuracy
- Provide detailed analysis of the system's performance through graphs and charts

The ideal candidate for this project should:
- Have a strong background in electrical engineering and system simulation
- Demonstrate the ability to provide comprehensive, detailed analysis of their work