Question

Given the characteristic equation s⁴+10s³+s²+10s+20, use the RH method to determine if the system is stable and if not, how many poles are in the right hand half plane.

Answer 1

The system is stable since all the coefficients in the first column of the Routh array are positive.

Step-by-step explanation:

The characteristic equation of the system is given as s⁴+10s³+s²+10s+20. To determine if the system is stable using the Routh-Hurwitz (RH) method, we need to check if all the coefficients of the first column in the Routh array are positive. In this case, the coefficients of the first column are 1, 1, and 20, which are all positive. Therefore, we can conclude that the system is stable since all the coefficients in the first column are positive.