Probabilistic Robustness Analysis of Uncertain LTV Systems in Linear Fractional Representation

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

This letter quantifies the effect of random model uncertainty on finite horizon linear time-varying (LTV) systems. Mean and standard deviation field are approximated with high accuracy and efficiency by a Hilbert space technique called polynomial chaos expansion (PCE). The deterministic expansion coefficients of the generalized Fourier series are determined via orthogonal projection, also known as Galerkin projection. We propose the projection of uncertain systems in linear fractional representation (LFR), which can have computational benefits. The technique is benchmarked on a two-link robotic manipulator.

Details

Original languageEnglish
Pages (from-to)428-433
Number of pages6
JournalIEEE Control Systems Letters
Volume6
Publication statusPublished - 10 May 2021
Peer-reviewedYes

External IDs

unpaywall 10.1109/lcsys.2021.3078881
ORCID /0000-0001-6734-704X/work/142235715

Keywords

Keywords

  • Robust control, time-varying systems, uncertain systems