For more than 10 years, Dr. Nejat Olgac from the University of Connecticut has focused his research on time delayed systems and specifically on a unique paradigm called the Cluster Treatment of Characteristic Roots (CTCR). Using key mathematical features of Linear Time Invariant Time Delayed Systems (LTI-TDS) first recognized under a CTCR paradigm, Dr. Olgac and his team can now identify stability islands of multiple-delay structures in the time-delay domain. Basically, if a linear time invariant time delayed system is contaminated with multiple, rationally independent delays, the researchers from the University of Connecticut can tell what delay composition will cause stability of the system.Linear Inverted Pendulum (IP02) system. With four patents already issued and a fifth one on the way, the research of Dr. Olgac and his team from ALARM Laboratory has a wide range of applications that extend from the machine tool industry to high speed milling and jet engine design.
At the 2012 American Controls Conference, Quanser hosted Dr. Olgac and his colleague Dr. Rudy Cepeda-Gomez, who presented their Inverted Pendulum Stabilization with Two-Delays and CTCR Paradigm research. Watch the video below to learn more.