Question

Consider the characteristic equation of the system as Chw= 84+ As3 +Bs2 +C.s+D, where A=a+b+c+3d B=a6+3d(a-l-b+c)d-c(a+b). C=K-F3d(ab+c(a+b))+abc, D= Kd+ 3abcd. Use the Routh-Hurwitz criterion to find the maximum value of K for the system to be stable,for a= 3.6, 6= 17, c = -2.7, and d= 5.1​

Answer 1

Answer:

Explanation: Solving Routh Hurwitz table whenever row of zero occurs, the roots are located symmetrically on the imaginary axis then the system response oscillates, a =1+K/2+K. If K =2 is consider then a =0.75.

Answer 2

Consider the characteristic equation of the system as Chw= 84+ As3 +Bs2 +C.s+D, where A=a+b+c+3d B=a6+3d(a-l-b+c)d-c(a+b). C=K-F3d(ab+c(a+b))+abc, D= Kd+ 3abcd. Use the Routh-Hurwitz criterion to find the maximum value of K for the s