Inverting control, a new strategy on time delayed systems

In this paper we introduce a new control strategy for linear time invariant (LTI) systems with a single time delay. The delay appears within the feedback control logic. Earlier research on this class of systems determines the delay intervals for stable operations, exhaustively, exactly and completely. The newly developed inverting control logic suggests a very practical procedure of reversing the sign of the feedback control gain, in order to enlarge the stable delay intervals. This gives some additional capabilities to control system designer. The sign inversion idea is based on a critical mathematical feature of LTI-TDS (Time Delay Systems) which was first recognized under a paradigm called the Cluster Treatment of Characteristic Roots (CTCR). Several example case studies demonstrate the practicality and the advantages of the new control law.