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Found 9 papers, 1 papers with code
A Tunable Universal Formula for Safety-Critical Control
Finally, we demonstrate the efficacy of our method through a collision avoidance example, investigating the essential properties including safety, robustness, and smoothness under various tunable scaling terms.
Convex Equilibrium-Free Stability and Performance Analysis of Discrete-Time Nonlinear Systems
Namely, the universal shifted concept, which considers stability and performance w. r. t.
Learning Reduced-Order Linear Parameter-Varying Models of Nonlinear Systems
In this paper, we consider the learning of a Reduced-Order Linear Parameter-Varying Model (ROLPVM) of a nonlinear dynamical system based on data.
Equilibrium-Independent Control of Continuous-Time Nonlinear Systems via the LPV Framework -- Extended Version
Additionally, we compare the proposed method to a standard LPV control design, demonstrating the improved stability and performance guarantees of the new approach.
Direct data-driven state-feedback control of general nonlinear systems
Through the use of the Fundamental Lemma for linear systems, a direct data-driven state-feedback control synthesis method is presented for a rather general class of nonlinear (NL) systems.
Nonlinear Tracking and Rejection using Linear Parameter-Varying Control
The Linear Parameter-Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems via convex methods.
LPV Modeling of Nonlinear Systems: A Multi-Path Feedback Linearization Approach
In the SISO case, all nonlinearities of the original system are embedded into one NL function, which is factorized, based on a proposed algorithm, to construct an LPV representation of the original NL system.
Incremental Stability and Performance Analysis of Discrete-Time Nonlinear Systems using the LPV Framework
By embedding nonlinear systems in an LPV representation, the convex tools of the LPV framework can be applied to nonlinear systems for convex dissipativity based analysis and controller synthesis.
Convex Incremental Dissipativity Analysis of Nonlinear Systems - Extended version
We investigate how stability and performance characterizations of nonlinear systems in the incremental framework are linked to dissipativity, and how general performance characterization beyond the $\mathcal{L}_2$-gain concept can be understood in this framework.
