Stability Analysis of a Dynamically Tuned Gyroscope

Abstract

Using energy and state space methods, the characteristic equation for a dynamically tuned gyroscope (DTG) is determined and subsequently used in a stability analysis of the system. The stability analysis assumes an ideal system and operation of the DTG within small angles of the nominal position. Finally, stable and unstable configurations of the DTG are demonstrated. The analysis shows that for practical configurations of a DTG, the device is inherently stable.