Question

The following is the open loop transfer function of a unity feedback system. G(s)= k/s(1+0.1s)(1+0.01s)

(a) Find the limiting range of k for stability.

Answer 1

To ensure stability, the limiting range of k for the given transfer function is when k is greater than zero.

Step-by-step explanation:

To determine the limiting range of k for stability, we need to examine the poles of the transfer function. A system is stable if all the poles have negative real parts. In this case, the transfer function has three poles: 0, -10, and -100. To ensure stability, the real part of all the poles should be negative.

The limiting range of k for stability is when the transfer function poles are on the left-hand side of the complex plane. In other words, k should be greater than zero to ensure stability.