New lead compensator designs for control education and engineering

The lead compensator is one of the most import topics in any undergraduate control engineering courses owing to its wide industrial applications. Traditionally the lead compensator was designed in a trial and error manner. This gives rise to difficulties not only in achieving precise compensation, but also in class teaching. In this paper, a new lead compensator design algorithm is first presented by using computation technology, which is precise, simple and non-trial-and-error. Hence the new design algorithm overcomes the difficulties in the traditional design. Next, two lead compensator design algorithms, either with the maximum phase margin or maximum bandwidth, are proposed. For practical applications, the new design based on Bode plots is also exploited. Design examples are provided to facilitate the course teaching and implementation.