English

A Polynomial Chaos Framework for Designing Linear Parameter Varying Control Systems

Systems and Control 2015-05-15 v2

Abstract

Here we use polynomial chaos framework to design controllers for linear parameter varying (LPV) dynamical systems. We assume the scheduling variable to be random and use polynomial chaos approach to synthesize the controller for the resulting linear stochastic dynamical system. The stability of the LPV system is formulated as an exponential mean-square (EMS) stability problem. Two algorithms are presented that guarantee EMS stability of the stochastic system and correspond to parameter dependent and independent Lyapunov functions, respectively. LPV controllers from the polynomial chaos based framework is shown to outperform LPV controller from classical design for an example nonlinear system.

Keywords

Cite

@article{arxiv.1503.07943,
  title  = {A Polynomial Chaos Framework for Designing Linear Parameter Varying Control Systems},
  author = {Raktim Bhattacharya},
  journal= {arXiv preprint arXiv:1503.07943},
  year   = {2015}
}

Comments

Published in ACC 2015

R2 v1 2026-06-22T09:03:23.790Z