Simulation of state-space models, trajectories and controllers using C++ and/or MATLAB/Simulink

Objectives:
1. Simulate trajectories of moving objects (e.g., cars, people, aircraft) in MATLAB/Simulink/C++ based on linear and nonlinear state-space models.

2. Implement controllers (e.g., MPC, SMC, FC) and guidance algorithms in MATLAB/Simulink/C++.

Skills:
1. Good understanding of linear algebra, state-space models and control algorithms

2. Solid programming skills in C++ (preferred), MATLAB and Simulink to implement the above algorithms

Note:
1. There are multiple algorithms from research papers to implement.

2. There is no need for any GUI. Only a class with algorithm and a test program are needed.