Integrated uncertainty model identification and robust control synthesis for linear time-invariant systems

Gábor Rödönyi, József Bokor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Given a nominal model, an integrated uncertainty model identification and μ-synthesis algorithm is presented for linear time-invariant (LTI) systems. The goal is 1) to construct an uncertainty model set characterized by parameterized weighting functions of dynamic perturbations and disturbances in the general linear fractional transformation (LFT) form -customary representation in modern robust control and 2) to select from this set according to closed-loop control objectives. The motivation is the simultaneous model validation and model optimization with respect to closed-loop requirements. The algorithm works on sampled, bounded-energy experimental data on the frequency-domain and integrates nominal model invalidation, uncertainty model construction and control synthesis in order to achieve robust performance. Standard D-K iteration steps are combined with an optimization step on a group of selected data. The method is demonstrated on a simple numerical example, where the results are comparable with analytic computations.

Original languageEnglish
Title of host publication14th Mediterranean Conference on Control and Automation, MED'06
DOIs
Publication statusPublished - Dec 1 2006
Event14th Mediterranean Conference on Control and Automation, MED'06 - Ancona, Italy
Duration: Jun 28 2006Jun 30 2006

Publication series

Name14th Mediterranean Conference on Control and Automation, MED'06

Other

Other14th Mediterranean Conference on Control and Automation, MED'06
CountryItaly
CityAncona
Period6/28/066/30/06

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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    Rödönyi, G., & Bokor, J. (2006). Integrated uncertainty model identification and robust control synthesis for linear time-invariant systems. In 14th Mediterranean Conference on Control and Automation, MED'06 [1700809] (14th Mediterranean Conference on Control and Automation, MED'06). https://doi.org/10.1109/MED.2006.328815