CHE 4198 Chapter : 2011Tutorial6

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15 Mar 2019
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Problem 1: investigate each of the transfer functions below for bibo stability and asymptotic stability. sg. We shall find the roots and of the pole polynomial and judge stability accordingly. sg s. The pure imaginary roots indicate that the system is not asymptotically stable. Problem 1: now consider the second tf sg. Both are real and negative, implying stable system. There are two poles real and negative and one at the origin. First note that the pole at 1 will cancel with the zero in the numerator, but this does not create a problem since it is a stable pole. The pole at the origin indicates critical stability stability, A system is being studied for stability, and its characteristic equation is given as follows: sp. 1- apply the routh-array technique to this problem. What can you conclude about the system when. 2- determine the range of k that would maintain stability.

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