Question

Q2 (25) State NCF Consider the system *₁ = X2 *₂ asin(x₁) bucos(x2) in which a, b are positive constants. (i) Show the system is NCSF enabled. (ii) Find a nonlinearity cancelling state feedback control law. (iii) Show that in the closed loop system, 1(t), 2(t) both converge to 0.

Fig: 1