All zero row cases: Two same magnitude real roots In mirror location in s plane 0 Complex imaginary roots Two pairs of complex roots 米-- -a0
All zero row cases: In mirror location in s plane Two same magnitude real roots Complex imaginary roots Two pairs of complex roots
Application to Control Design Example #1 Find the range of K for stable closed-loop control system K Step 1:find closed-loop characteristic equation K Y(s) (s+1)3 K R(s) K 1+ s3+3s2+3s+(1+K) (+1)3 日96
Application to Control Design – Example #1 Find the range of K for stable closed-loop control system r u y - + K 1 ( s 1) 3 Step 1: find closed-loop characteristic equation Y ( s ) R ( s ) K ( s 1) 3 1 K ( s 1) 3 K s 3 3 s 2 3 s (1 K )