Question: Write a MATLAB program that can be used to find the range of sampling time, T, for stability. The program will be used for systems

Write a MATLAB program that can be used to find the range of sampling time, T, for stability. The program will be used for systems of the type represented in Figure P13.5 and should meet the following requirements:

a. MATLAB will convert G₁(s) cascaded with a sample-and-hold to G(z).

b. The program will calculate the z-plane roots of the closed-loop system for a range of T and determine the value of T, if any, below which the system will be stable. MATLAB will display this value of T along with the z-plane poles of the closed-loop transfer function. Test the program on

20(s+ 6) (s+ 1)(s+ 3)(s+ 4)(s+ 8) G1(s) =

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