Graphical Nonlinear System Analysis
Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
Abstract
We use the recently introduced concept of a scaled relative graph (SRG) to develop a graphical analysis of input–output properties of feedback systems. The SRG of a nonlinear operator generalizes the Nyquist diagram of an LTI system. In the spirit of classical control theory, important robustness indicators of nonlinear feedback systems are measured as distances between SRGs.
Topics & Concepts
Nonlinear systemRobustness (evolution)Control theory (sociology)Computer scienceNonlinear controlGraphLinear systemControl systemNyquist plotFeedback controlGraph theoryAutomatic controlMathematicsControl engineeringTheoretical computer scienceControl (management)EngineeringMathematical analysisArtificial intelligencePhysicsCombinatoricsDielectric spectroscopyElectrochemistryGeneElectrodeQuantum mechanicsBiochemistryElectrical engineeringChemistryControl and Stability of Dynamical SystemsStability and Control of Uncertain SystemsControl Systems and Identification