Limit Cycles in Sampled-Data Relay Feedback Systems

摘要

Analysis of limit cycles in relay feedback systems is usually performed in continuous time, even though most such systems are implemented digitally. In this paper, we discuss the limitations of the continuous-time analysis, showing that even for standard plants with reasonable sampling rates its results can be considerably far from the truth. Then, we present a discrete-time analysis of relay feedback systems, providing analytical tools that overcome the limitations of their continuous-time counterparts.