Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) iz(t) = -1,(t) + u(t) %3D (1) Ym (t) = 11(t) e(t) = r1(t) – t – 10 where r(t) = (r,(t), r2(t))" € R² is the...

Extracted text: Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) iz(t) = -1,(t) + u(t) %3D (1) Ym (t) = 11(t) e(t) = r1(t) – t – 10 where r(t) = (r,(t), r2(t))" € R² is the system state; u(t) ER is the control input; Ym (t), e(t) E R denote the measurement outpu nd regulated output, respectively. 1. Examine the existence of u(t) such that lim e(t) = 0. (2) %3D 2. If u(t) exists, give a specific design of u(t).