Modling system please answer this with accurate answer A B a

Modling system (please answer this with accurate answer)

A.

B.

a. Identify the dependent variable(s). b. What is the order of the model? c. Why is the model nonlinear? d. Assign state variables e. Place the system in general state space format. Identify the functions fi, fi, fe, and g in general state space representation, where n is the number of

Solution

A - a dependent variable is y(t) = z and u(t) ,as z = y (t ) and u(t) is dependent on t.so y (t) = z and u (t) is dependent variable.

b - order is the highest derivative in differential equation. so equation is second order differential equation.

c - because the model contains the term z³ so the model is nonlinear.

d - state variable y(t) =z and u(t).

B- a - Dependent variable are z₁  , z ₂     and u (t).

   b - order is 1.

c - nonlinear because containing the term z₁³ differential equation.

d - state variables are z₁ z₂ and u (t).