Second Order Systems and State Feedback Design: Thus far, we have largely focused on stability as our performance metric of choice. Yet once stability is assured, we can focus on finer details. A few classes ago, we discussed other system properties, such as rise time, overshoot, and settling time. In this exercise, we will explore how controlling eigenvalues through Eigenvalue assignment is important beyond just placing them in the OLHP to insure stability. Read the beginning of Section 6.3 on second order systems. Replicate the computations in Example 6.6 exploring the tradeoff of overshoot and rise time by plotting the curves for smaller values of ζ (the book shows the curve for ζ = 0.9). 4. We introduced the notion of an observable system (see also Chapter 7.1). Which of the following is observable:
Attachment:- problemset4.pdf