6 papers
Scaled Graph Containment for Feedback Stability: Soft-Hard Equivalence and Conic Regions
Eder Baron-Prada, Julius P. J. Krebbekx, Adolfo Anta +1
Scaled graphs (SGs) offer a geometric framework for feedback stability analysis. This paper develops containment conditions for SGs within multiplier-defined regions, addressing bo…
On the Impact of Operating Points on Small-Signal Stability: Decentralized Stability Sets via Scaled Relative Graphs
Eder Baron-Prada, Adolfo Anta, Florian Dörfler
This paper presents a decentralized frequency-domain framework to characterize the influence of the operating point on the small-signal stability of converter-dominated power syste…
Stability results for MIMO LTI systems via Scaled Relative Graphs
Eder Baron-Prada, Alberto Padoan, Adolfo Anta +1
This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs…
Stability Analysis of Power-Electronics-Dominated Grids Using Scaled Relative Graphs
Eder Baron-Prada, Adolfo Anta, Florian Dörfler
This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter…
Computing the Hard Scaled Relative Graph of LTI Systems
Julius P. J. Krebbekx, Eder Baron-Prada, Roland Tóth +1
Scaled Relative Graphs (SRGs) provide a novel graphical frequency-domain method for the analysis of nonlinear systems, where Linear Time-Invariant (LTI) systems are the fundamental…
Mixed Small Gain and Phase Theorem: A new view using Scale Relative Graphs
Eder Baron-Prada, Adolfo Anta, Alberto Padoan +1
We introduce a novel approach to feedback stability analysis for linear time-invariant (LTI) systems, overcoming the limitations of the sectoriality assumption in the small phase t…