Analysis of SSOD and RQH Systems with Tsypkin Method

Robustness in SSOD-C(s) loops is analyzed in this chapter through Tsypkin method. This method bypasses the Describing Function (DF) high order harmonic attenuation hypothesis, and allows obtaining a new robustness measure, the Tsypkin margin ( \(M_T\) ). This measure quantifies the robustness against limit cycle oscillations. Grounded on the same analysis basis, multi-leveled oscillations are demonstrated to be avoided by fulfilling the Tsypkin margin. Well-known classical tuning rules are evaluated with the proposed robustness margin. The extension of the analysis method to the RQH-C(s) is addressed.