English

Structured linear fractional parametric controller design with $\mathcal{H}_\infty$ performances

Systems and Control 2017-04-12 v1 Dynamical Systems

Abstract

This paper proposes an simple but yet effective approach to structured parametric controller design in a linear fractional form. The main contribution consists in using structured H\mathcal{H}_\infty oriented optimization tools in an original manner to either (i) construct a parametric controller or (ii) a family of controllers with varying performances. Practical and numerical issues are also discussed to provide readers and practitioners a simple way to deploy the proposed process. The overall approach is illustrated through two numerical academical (but still complex) examples illustrating two applications: first, a parametric controller design adapted to a parameter dependent model of a clamped beam and, second, a controller with parameter dependent performance applied on a building model.

Keywords

Cite

@article{arxiv.1704.03247,
  title  = {Structured linear fractional parametric controller design with $\mathcal{H}_\infty$ performances},
  author = {C. Poussot-Vassal},
  journal= {arXiv preprint arXiv:1704.03247},
  year   = {2017}
}

Comments

Submitted to IEEE CDC 2017

R2 v1 2026-06-22T19:14:00.334Z