CDS 212 - Solutions to Final Exam
نویسنده
چکیده
Problem 1 (a) We will compute theH2 norm ofG using state-space methods (see Section 2.6 in DFT). We begin by finding a minimal state-space representation of the system with transfer function G(s). Assuming u(0) = y(0) = 0 as usual, we have: sy(s) + 2sy(s) + sy(s) + y(s) = u(s) ⇔ ... y (t) + 2ÿ(t) + ẏ(t) + y(t) = u(t) Defining x1 = y, x2 = ẏ, x3 = ÿ, the corresponding state-space representation is given by:
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