- 5 Consider The Dynamical System Below Same As Problem 3 20 Zi T Z1 T 3z2 T Zz T U T Z2 T Zz T 1 (25.66 KiB) Viewed 46 times
= 5. Consider the dynamical system below (same as problem 3): [20] ži(t) +z1(t) + 3z2(t) – zz(t) = u(t) -z2(t) + żz(t) =
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= 5. Consider the dynamical system below (same as problem 3): [20] ži(t) +z1(t) + 3z2(t) – zz(t) = u(t) -z2(t) + żz(t) =
= 5. Consider the dynamical system below (same as problem 3): [20] ži(t) +z1(t) + 3z2(t) – zz(t) = u(t) -z2(t) + żz(t) = u(t) + 2z1(t) (a) After you find the A,B,C,D matrices (Same as part 3(a)), find all the eigenvectors of A, Vi (b) Construct the basis transformation T = [V1 V2. Vn]-1 and define a new state #(t) =Tx(t). What are the new state space matrices A,B,C,D? (C) What do you observe about Ā? (d) What is the transfer function for this system? How does it relate to Problem 3(C)?