English

Robust State Feedback Control Design with Probabilistic System Parameters

Systems and Control 2015-03-30 v1

Abstract

In this paper, a new polynomial chaos based framework for analyzing linear systems with probabilistic parameters is presented. Stability analysis and synthesis of optimal quadratically stabilizing controllers for such systems are presented as convex optimization problems, with exponential mean square stability guarantees. A Monte-Carlo approach for analysis and synthesis is also presented, which is used to benchmark the polynomial chaos based approach. The computational advantage of the polynomial chaos approach is shown with an example based on the design of an optimal EMS-stabilizing controller, for an F-16 aircraft model.

Keywords

Cite

@article{arxiv.1503.07939,
  title  = {Robust State Feedback Control Design with Probabilistic System Parameters},
  author = {Raktim Bhattacharya},
  journal= {arXiv preprint arXiv:1503.07939},
  year   = {2015}
}

Comments

Published in CDC 2014

R2 v1 2026-06-22T09:03:23.169Z