We know that a system must be stable if all of the closed loop poles are located exclusively in the LHP (of the s-plane). As a means of determining this numerically on paper, one way this can be achieved is through the use of a Routh array. For the system below with transfer function Y(s)/X(s), complete the following questions:
Y(s)/X(s) = (s + 1.39) / (10s^4 + 4s^3 + 2s^2 + 4s - 8)
a) Using a Routh Array, confirm if the system is either stable, critically stable, or unstable.
b) State the locations (LHP, IA, or RHP) of all system poles (s1, s2, s3, and s4).
c) Using MATLAB, verify your answer to part (b) by using the function pzplot(sys).
Note: for MATLAB questions, you must complete the work on a computer and have the tutor check your results and sign your group of two off, once all MATLAB questions for the tutorial are completed. No written answers for submission are required for any MATLAB questions in this course.