I. Determine how many closed-loop poles lie in the right half-plane, in the left
ID: 2304981 • Letter: I
Question
I. Determine how many closed-loop poles lie in the right half-plane, in the left half-plane, and on the jw-axis for the following closed-loop transfer functions: S+8 a. T(s) - 3+2s2+7s+21 s5-2s4 +3s3-6s2+2s-4 Verify your answer using MATLAB Consider the following Routh table. Notice that the s5 row was originally all zeros. Tell how many roots of the original polynomial were in the right half-plane, in the left half-plane, and on the jw-axis. 2. 0 8 0 0 0 0 3. Consider the unity feedback system, Fig.I Cls) G(s) Fig.I Using the Routh-Hurwitz criterion, find the region of the s-plane where the poles of the closed- loop system are located if b. G(s) s(s6-2s5-s+2s3+4s2-8s-4) Verify your answer using MATLAB.Explanation / Answer
Answer : 2 the given table is Routh Stability table which is used for finding weather the given function is stable or not . And also gives the number of poles right and left side of jw axis. To understand this table only one thing keep in mind that how many times the sign of first coloumn will be change and the number of change sign will give the number of pole which exist on right side of jw axis and which leads to unstablity . So here in this question only sign change one time hence there is one pole which exist on right side of jw axis and the system is unstable.