Abstract

This paper presents a method of computer support for teaching the Routh-Hurwitz criterion in two different undergraduate junior level Electrical Engineering courses at the United States Coast Guard Academy. Software Engineering (SWE) and Computer Control Systems (CCS) are two courses that students use C# programming and MATLAB® software to learn about the Routh-Hurwitz principle and its applications. In SWE the objectives are to apply the Routh-Hurwitz criterion to the procedural and object-oriented C# programming skills in order to implement code with a user-friendly Graphical User Interface (GUI). In this laboratory the GUI allows the user to enter the values that represent the coefficients of a polynomial. The results of the GUI return whether the polynomial represents a stable or unstable system. In CCS the objectives are modeling the physical system and applying the Routh-Hurwitz criterion to analyze the closed loop system performance. In this lab students determine the mathematical model for an antenna azimuth position control system. They then apply the Routh-Hurwitz criterion to find all proportional gains for the controllers that meet certain performance requirements for the antenna position control system. The modeling and system performance are achieved via calculation by hand, programming, and simulation using MATLAB® and its Control System Toolbox. Students in these two particular labs demonstrate achievement of numerous a-k ABET criteria.

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