Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design | Zendy

Benner Peter | Zendy; Hein Sabine | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Model Predictive Control for Nonlinear Parabolic Differential Equations Based on a Linear Quadratic Gaussian Design

Author(s) -

Benner Peter,

Hein Sabine

Publication year - 2009

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200910278

Subject(s) - linear quadratic gaussian control , model predictive control , nonlinear system , control theory (sociology) , mathematics , optimal control , gaussian , quadratic equation , optimal projection equations , gaussian process , linear quadratic regulator , mathematical optimization , control (management) , computer science , physics , geometry , quantum mechanics , artificial intelligence

We consider optimal control problems for semilinear parabolic partial differential equations where process and measurement noise can occur. If we apply a Model Predictive Control (MPC) scheme we obtain optimal control problems on small time intervals. The resulting “smaller problems” can be linearized around a reference and solved by using a Linear Quadratic Gaussian (LQG) design. We present some theoretical background of the strategy above as well as results of a numerical implementation for a 3D problem. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research