8 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…
Amplitude Dependent Bode Diagrams via Scaled Relative Graphs
Julius P. J. Krebbekx, Roland Tóth, Amritam Das +1
Scaled Relative Graphs (SRGs) provide an intuitive graphical frequency-domain method for the analysis of Nonlinear (NL) systems, generalizing the Nyquist diagram. In this paper, we…
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…
Scaled Relative Graph Analysis of General Interconnections of SISO Nonlinear Systems
Julius P. J. Krebbekx, Roland Tóth, Amritam Das
Scaled Relative Graphs (SRGs) provide a novel graphical frequency-domain method for the analysis of nonlinear systems. However, we show that the current SRG analysis suffers from a…
Analysis of Non-Square Nonlinear MIMO Systems using Scaled Relative Graphs
Julius P. J. Krebbekx, Roland Tóth, Amritam Das
Scaled Relative Graphs (SRGs) provide a novel graphical frequency-domain method for the analysis of nonlinear systems. There have been recent efforts to generalize SRG analysis to…
Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs
Julius P. J. Krebbekx, Roland Tóth, Amritam Das
In this technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis,…