Hi, dear friends,

here is a question in model reference adaptive control

plant: y(t) = a
control: u(t) = -theta(t)*y(t) + u_m(t-1)

adaptation: y(t-1)*e(t) theta(t)=theta(t-1)+ ----------------- 1+y(t-1)^2 where e(t) is the equation error

the question is to show

|e(t)| ------------------------ is uniformly bounded and tends to zero (1+y(t-1)^2)^(1/2)

I dont have even a clue for this question. Plz give me a hint. Thanks

here is a question in model reference adaptive control

plant: y(t) = a

***y(t-1)+u(t-1) model: y_m(t) = a_m***y_m(t-1) + u_m(t-1)adaptation: y(t-1)*e(t) theta(t)=theta(t-1)+ ----------------- 1+y(t-1)^2 where e(t) is the equation error

the question is to show

|e(t)| ------------------------ is uniformly bounded and tends to zero (1+y(t-1)^2)^(1/2)

I dont have even a clue for this question. Plz give me a hint. Thanks