Question control system The characteristic equation of a system is a(s) = s5 + 2s*+ 2s³ + 4s2 + 11s + 10, which one of the following statement is false?А.The values in first coloumn of Routh-Hurwitz stability array are 1, 2,0, E,, 6 and 10.В.The system unstable.С.There are two sign is change in the first coloumn of Routh-Hurwitz array.D.The system is stable because no one of the poles of the system in right side of s-plane.Е.The system is a five order system.

SSXMRX The Asker · Electrical Engineering

control system

Transcribed Image Text: The characteristic equation of a system is a(s) = s5 + 2s*+ 2s³ + 4s2 + 11s + 10, which one of the following statement is false?А.The values in first coloumn of Routh-Hurwitz stability array are 1, 2,0, E,, 6 and 10.В.The system unstable.С.There are two sign is change in the first coloumn of Routh-Hurwitz array.D.The system is stable because no one of the poles of the system in right side of s-plane.Е.The system is a five order system.

More

Community Answer

Honor Code

Solved 1 Answer

Step 1In this question, choose the correct optionGiven characteristic equation is given, solve the using the routh Hurthwiz. Step 2Characteristic equations-\alpha(s)=s^{5}+2 s^{4}+2 s^{3}+4 s^{2}+11 s+10Routh Hurthuiz -5 order system\begin{array}{cccc}s^{5} & 1 & 2 & 11 \\ s^{4} & 2 & 4 & 10\end{array}s^{3} \quad \frac{4-4}{2}=0 \quad \frac{2 \times 11-10}{2}\xi \quad=6s^{2} \frac{4 \xi-n}{\xi} \quad 10s^{1} \quad 6 \quad 05 \quad 10values of first coloumn \rightarrow 1,2, \xi, \frac{4 \xi-12}{\xi}, 6,10\rightarrow 1,2, \xi, 4-\frac{12}{\xi}, 6,10\xi \rightarrow very small so 4-\frac{12}{\xi} \approx Negatine.\text { No. of sign Chyrye }=2 \text { (unstable) }False statement The system is stable because no one of the poles of the system in right side of s-plane.Correet option \rightarrow D ...