6 papers
Scaled Graph Bounding Techniques for Reset Systems
Timo de Groot, Maurice Heemels, Tom Oomen +1
Reset systems can overcome fundamental limitations of linear time-invariant control. The recently introduced notion of scaled (relative) graphs provides a promising framework for d…
Scaled Relative Graphs and Dynamic Integral Quadratic Constraints: Connections and Computations for Nonlinear Systems
Timo de Groot, Tom Oomen, W. P. M. H. Heemels +1
Scaled relative graphs (SRGs) enable graphical analysis and design of nonlinear systems. In this paper, we present a systematic approach for computing both soft and hard SRGs of no…
Continuity Conditions for Piecewise Quadratic Functions on Simplicial Conic Partitions are Equivalent
Magne Erlandsen, Tomas Meijer, W. P. M. H. Heemels +1
Analysis of continuous-time piecewise linear systems based on piecewise quadratic (PWQ) Lyapunov functions typically requires continuity of these functions over a partition of the…
A Dissipativity Framework for Constructing Scaled Graphs
Timo de Groot, Maurice heemels, Sebastiaan van den Eijnden
Scaled relative graphs have been originally introduced in the context of convex optimization and have recently gained attention in the control systems community for the graphical a…
On phase in scaled graphs
Sebastiaan van den Eijnden, Chao Chen, Koen Scheres +2
The scaled graph has been introduced recently as a nonlinear extension of the classical Nyquist plot for linear time-invariant systems. In this paper, we introduce a modified defin…
Exploiting Structure in MIMO Scaled Graph Analysis
Timo de Groot, Tom Oomen, Sebastiaan van den Eijnden
Scaled graphs offer a graphical tool for analysis of nonlinear feedback systems. Although recently substantial progress has been made in scaled graph analysis, at present their use…