Solution of finite time linear quadratic optimal control problem (time-invariant)
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Can any body help me for solving finite time linear quadratic optimal control problem (time-invariant) both open loop and close loop in MATLAB? for open loop we must solve a linear system (TPBVP) are there any suggestion for the solution in MATLAB? I think "lqr" matlab doesnt solve finite time regulator.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/216708/image.png)
subject to
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/216709/image.png)
for my problem matrices F,Q and R are positive diagonal matrices. for open loop case I must solve a linear system (TPBVP) for x and p (co-state) which x(0) is known and p(t_f) is known.
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