Section 2.1 Process Dynamic Responses Models of Unstable Plants K G(s)= (-T1s+1)(-25+1)(-Tms+1)× (Tm+1s+1).(Tn5+1) K-Real constant denoting the static gain 0-Positive real constant denoting the time delay Ti(i =1,2,...m,...,n)-Have positive real parts and denote time constants The first-order model frequently used in practice: G(s= 4口：4@424色定90C Zhang.W.D..CRC Press.2011 Version 1.0 8/64Section 2.1 Process Dynamic Responses Models of Unstable Plants G(s) = K (−τ1s + 1)(−τ2s + 1)...(−τms + 1)× (τm+1s + 1)...(τns + 1) e −θs K—Real constant denoting the static gain θ—Positive real constant denoting the time delay τi(i = 1, 2, ..., m, ..., n)—Have positive real parts and denote time constants The first-order model frequently used in practice: G(s) = K τ s − 1 e −θs Zhang, W.D., CRC Press, 2011 Version 1.0 8/64