Title :
Receding Horizon Control With Numerical Solution for Nonlinear Parabolic Partial Differential Equations
Author :
Hashimoto, Toshikazu ; Yoshioka, Yoshio ; Ohtsuka, Toshiyuki
Author_Institution :
Dept. of Syst. Innovation, Osaka Univ., Toyonaka, Japan
Abstract :
The optimal control of nonlinear partial differential equations (PDEs) is an open problem with applications that include fluid, thermal, biological, and chemical systems. Receding horizon control is a kind of optimal feedback control, and its performance index has a moving initial time and a moving terminal time. In this study, we develop a design method of receding horizon control for systems described by nonlinear parabolic PDEs. The objective of this study is to develop a novel algorithm for numerically solving the receding horizon control problem for nonlinear parabolic PDEs. The effectiveness of the proposed method is verified by numerical simulations.
Keywords :
feedback; nonlinear differential equations; numerical analysis; optimal control; parabolic equations; partial differential equations; biological system; chemical system; fluid system; moving initial time; moving terminal time; nonlinear parabolic PDE; nonlinear parabolic partial differential equations; numerical simulation; numerical solution; optimal feedback control; performance index; receding horizon control design method; thermal system; Boundary conditions; Equations; Mathematical model; Optimal control; Optimization; Performance analysis; Computational algorithm; distributed systems; nonlinear systems; optimal control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2208318
