Investigation of Periodic Modes of Sampled-Data Control Systems Containing a Saturating Element

A discrete sequence approach is presented in this paper for investigating the possible modes of sampled-data control systems containing a saturating element. This method enables the investigator (a) to determine whether or not a control system has certain periodic modes, and (b) if it does, to identify them exactly. This approach is applicable to a sampled-data control system of any order. It is extended to the cases where the form of feedback is other than unity.