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In finite time regulator:(a) There is no restriction on the controllability of the plant(b) Performance index is infinite(c) Instability imposes problem in finite-interval control(d) No restriction on controllability and performance indexThis question was posed to me in a national level competition.This question is from The Infinite Time Regulator Problem topic in portion Optimal Control Systems of Control Systems

Answer»

Correct answer is (a) There is no RESTRICTION on the CONTROLLABILITY of the plant

Best EXPLANATION: In finite time regulator there is no restriction on the controllability of the plant. This is because is always finite and instability does not impose any PROBLEMS in finite-time control.



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