LQ/MPC/Model Predictive Control examples

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Homework Statement


Do you have any idea where i can find (basic) examples of how to derive the cost function
when controlling a system with MPC? Thats it, i feel lost


Homework Equations


MPC



The Attempt at a Solution


Books and google
 
Being unfamiliar with MPC (linear quadratic or otherwise), I just checked wiki and it said that you use Euler-Lagrange equations to find the cost-minimizing function. Hope this helps.