A Polynomial Chaos Framework for Designing Linear Parameter Varying Control Systems Conference Paper

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 meansquare (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.

name of conference

• 2015 AMERICAN CONTROL CONFERENCE (ACC)

authors

• Bhattacharya, Raktim

author list (cited authors)

• IEEE, .., & Bhattacharya, R.

complete list of authors

• Bhattacharya, R

publication date

• 2015

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

International Standard Book Number (ISBN) 13

• 978-1-4799-8684-2

start page

• 409

end page

• 414

volume

• American Control Conference