Title :
Reduced order model-based sliding mode control of dynamic systems governed by Burgers´ equation
Author :
Farshid Abbasi;Javad Mohammadpour
Author_Institution :
The University of Georgia, Athens, GA 30602, United States
Abstract :
In this paper, we use the reduced-order nonlinear model of dynamic systems governed by Burgers´ equation with Neumann boundary conditions - recently developed by the authors in [4] - to define low order sliding mode surfaces. While keeping the system states moving on the defined surface, the imposed control law guarantees the stability of the full-order model obtained using a finite element (FE) approximation of the Burgers´ equation. The accuracy of the applied reduced-order model obtained from proper orthogonal decomposition (POD) method compared to the FE model is investigated by determining an adequate number of basis functions for the approximating subspace. The reduced-order model is then used to design a sliding mode controller, which is implemented on the FE model demonstrating that the obtained reduced model is suitable for both stabilization of the full-order model and trajectory tracking.
Keywords :
"Mathematical model","Reduced order systems","Iron","Computational modeling","Finite element analysis","Yttrium","Sliding mode control"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7402490