Title :
A numerical solution method to receding horizon control for nonlinear diffusion systems
Author :
Yoshioka, Yusuke ; Hashimoto, Tomoaki ; Ohtsuka, Toshiyuki
Author_Institution :
Grad. Sch. of Eng. Sci., Osaka Univ., Toyonaka, Japan
Abstract :
In this paper, we study the optimal control problem of nonlinear parabolic partial differential equations (PDEs) with applications that include fluid and thermal system. Receding horizon control is a kind of optimal feedback control in which the control performance over a finite future is optimized. As described herein, we present a receding horizon control design method for a class of nonlinear parabolic PDEs. Our approach is a direct infinite-dimensional extension of the finite-dimensional receding horizon control method. We also propose a fast algorithm for numerically solving the stationary conditions that must be satisfied for optimality. Results of numerical simulations verified the effectiveness of the proposed method.
Keywords :
diffusion; feedback; nonlinear differential equations; nonlinear systems; optimal control; parabolic equations; partial differential equations; nonlinear diffusion systems; nonlinear parabolic partial differential equations; optimal feedback control; receding horizon control; Equations; Mathematical model; Numerical simulation; Optimal control; Optimization; Performance analysis; Partial differential equation; optimal control; receding horizon control;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8