(a) Design the Model reference adaptive control (MRAC) controller by showing the sensitivity derivative with based on mi
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(a) Design the Model reference adaptive control (MRAC) controller by showing the sensitivity derivative with based on mi
(a) Design the Model reference adaptive control (MRAC) controller by showing the sensitivity derivative with based on minimizing the cost function, J=0.5e and explain the function of each block diagram of system, if the closed-loop system of the plant as below: (Rekabentuk sebuah pengawal Model reference adaptive control (MRAC) dengan memujukkan tindakan terbitan kepekaan berdasarkan fungsi kos minimum, J=0.5e dan terangkan fungsi setaip gambarajah blok jika sistem loji gelung tertutup bagi rekabentuk MRAC seperti berikut: (s+1)>(s)-(8) where dimana) u(s) Or(8) follows the reference model: mengikut model wukan: (s+1)ym(s)-27(3) where u(s) and y(s) are the input and output of the plant to be controlled, respectively. y.() is the output of the reference model, r(s) is the reference signal and e=y(s)-(s). [di mana (s) dan y(s) masing-masing adalah input dan output laji untuk dikawal y.(3) adalah keluaran model rujukan, r(s) adalah isyarat rujukan dan e=y(s)-=(8). (15 Marks / Markah) (b) Evaluate on the stability of the MARC system by showing a suitable adaptation gain, y. Justify your answer. [Nilaikan kestabilan ke atas sistem MRAC dengan menunjukkan nilai gandaan adaptasi yang sesuai, Y, bagi sistem ini Jelaskan jawapan anda)
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