Control System (ECE411) Lectures 13 & 14
Transient Response of 2nd-Order Control System Consider a control system with closed-loop transfer function, M(s) = C(s) R(s) =!2 n s2 +2˘! n s+!2; M(0) = 1 Characteristic Equation : ˆ(s) = s2 +2˘! n s+!2 = 0 has the following roots, s 1;2 = ˘! n j! n p 1 ˘2 = j! These are depicted in the following gure. cos = ˘, tan = p 1 ˘2 ˘ M.R ...
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