9 papers
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…
Unifying Sequential Quadratic Programming and Linear-Parameter-Varying Algorithms for Real-Time Model Predictive Control
Kristóf Floch, Amon Lahr, Roland Tóth +1
This paper presents a unified framework that connects sequential quadratic programming (SQP) and the iterative linear-parameter-varying model predictive control (LPV-MPC) technique…
Direct data-driven interpolation and approximation of linear parameter-varying system trajectories
Chris Verhoek, Ivan Markovsky, Roland Tóth
We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine…
Tensor-based reduction of linear parameter-varying state-space models
Bogoljub Terzin, E. Javier Olucha, Amritam Das +2
The Linear Parameter-Varying (LPV) framework is a powerful tool for controlling nonlinear and complex systems, but the conversion of nonlinear models into LPV forms often results i…
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,…
Nonlinear Bandwidth and Bode Diagrams based on 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 (NL) systems. In this paper, we restrict the SRG to particular input s…
On-the-fly Surrogation for Complex Nonlinear Dynamics
E. Javier Olucha, Rajiv Singh, Amritam Das +1
High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their…