Relay-Stabilization and Identification of Unstable Processes

Abstract: A set of conditions are found for stabilization of unstable processes using relay feedback. The relay-stabilized process will exhibit limit cycles which can then be used to obtain parameters of the process. In this paper, we explore the solution of firstand secondorder processes containing one unstable eigenvalue and time delay. The resulting necessary conditions found turn out to be very tight. Simulations are given to show the identification process as well as how the limit cycle conditions apply.