ransferРC(S) E(S)?C(S )Рfunction ,?,?.?(12%)РR(S) R (S)?P (S)РРРThe characteristic equation is given 1 + GH (S) = S 3 + 3S 2 + 2S + 20 = 0. Discuss the distribution of the closed-loop poles. (16%)РSketch the root-locus plot for the system GH(S)=斎 了. (The gain K is assumed to be positive.)РDetermine the breakaway point and K value.РDetermine the value of K at which root loci cross the imaginary axis.РDiscuss the stability.?(14%)РР6. The system block diagram is shown Fig.3.Р”1_ S + 2Р4РS (S + 3)Р. SupposeРr = (2 +1),Р(15%)Рn 二1- Determine the value of K to ensure ess < 1-РР7. Consider the system with the following open-loop transfer function:РGH (S)=?.① Draw Nyquist diagrams.② Determine theРS (TS + 1)(TS +1)Р12Рstability of the system for two cases, ⑴ the gain K is small, ⑵ K is large. (15%)
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