Options
Observer-based LPV control of a nonlinear PDE
Publikationstyp
Conference Paper
Date Issued
2011
Sprache
English
Author(s)
Hashemi, Seyed Mahdi
Institut
Start Page
2010
End Page
2015
Citation
2011 50th IEEE Conference on Decision and Control and European Control Conference : (CDC-ECC 2011) ; Orlando, Florida, USA, 12 - 15 December 2011. - Piscataway, NJ. - Vol. 3 : art. no. 6161232 = pp. 2010-2015 (2011)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
IEEE
In this paper, observer-based linear parameter-varying (LPV) control of the one-dimensional nonlinear Burgers' equation is presented. The partial differential equation is discretized using a finite difference scheme and the boundary conditions are taken as control inputs. A nonlinear high-order state space model is generated and proper orthogonal decomposition based Galerkin projection is used for model order reduction. A discrete-time quasi-LPV model that is affine in scheduling parameters is derived based on the reduced model and a polytopic dynamic output feedback LPV controller is synthesized. Since the scheduling parameters are linear combinations of system states, the synthesized output-feedback controller is converted to an observer-based state feedback controller which provides an estimate of the scheduling parameters. Simulation results demonstrate that the designed observer-based LPV controller has almost the same level of disturbance and measurement noise rejection capability compared to an output feedback LPV controller combined with a nonlinear observer. Moreover, both of the LPV controllers outperform an LQG controller based on a linearized model.
DDC Class
600: Technik
620: Ingenieurwissenschaften