ECE486 Homework # 2 Solution

Reading: FPE (Franklin, Powell, Emami-Naeini, 6th or 7th edition), Sections Sections 3.1 and 3.2.
Sections 3.3–3.6.
Problems:
1. Using techniques for block diagram reduction discussed in class, find the transfer functions of the systems shown below (p156 from the textbook, 3rd edition)

(a) (b)
2. Consider the following state-space model (so-called “observer canonical form”):
.
Build an all-integrator diagram for this system.
3. Consider the plant with transfer function where K is a positive parameter you can tune.
a) Consider the settling time spec ts ≤ 4. Give some value (or range of values) of K for which the
system meets this spec. Justify your choice.
b) Consider the rise time spec tr ≤ 1. Give some value (or range of values) of K for which the system
meets this spec.
c) Consider the overshoot spec Mp ≤ 0.1. Give some value (or range of values) of K for which the system meets this spec. Justify your choice.