About finite horizon discrete-time LQ optimization problem?

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Are there any good simple systems or platforms to recommend?

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Swimming/space travel depends on the proprioceptive muscle spindles?

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Are current regulations effective in preventing cancer caused by toxins?

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How to make a Lateral flow control line more uniform?

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What does an additional peak in FTIR between 3100 and 3300 nm affect the quality of the material, benzethonium chloride USP??

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Xingyu Zhou

For finite-horizon LQ, you basically apply dynamic programming (back backpropagation) to find the optimal control policy. See Chapter 11 of the book: Digital Control System Analysis & Design 4th Edition.

For the infinite-horizon counterpart, it reduces to the H2 optimization problem where you can use LMI or algebraic Ricatti equation to solve the optimal steady-state control gain.

Tahia Mohamed Zerizer

If we let the final state be free, i. e., open-loop control, we find a TPBVP. How to solve this TPBVP?

Aman Parkash

This solved problem is given in the Book i.e., "Optimal Control System" by D Naidu, Page-203.
Also, please find the attachment (Page number-5).