Question

Find range of values of Kp and Ki for BIBO stability of the system T(s) where: T(s)=G(s)/[1+G(s)*H(s)] and G(s)= 10/([s*(s+5)] and H(s)= Kp+ Ki/s.

Answer 1

The range of values for Kp and Ki that ensures BIBO stability is Kp > 0 and Ki > 0.

Step-by-step explanation:

The range of values for Kp and Ki for BIBO stability of the system T(s) can be found by analyzing the transfer function T(s) = G(s) / [1 + G(s) * H(s)], where G(s) = 10 / [s * (s + 5)] and H(s) = Kp + Ki/s.

To ensure BIBO stability, the poles of the closed-loop transfer function should all have negative real parts. This requires that the gain Kp is greater than zero and the integral gain Ki is also greater than zero.

Therefore, the range of values for Kp and Ki that ensures BIBO stability is Kp > 0 and Ki > 0.