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Receding Horizon Control With Numerical Solution for Nonlinear Parabolic Partial Differential Equations

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3 Author(s)
Tomoaki Hashimoto ; Dept. of Syst. Innovation, Osaka Univ., Toyonaka, Japan ; Yusuke Yoshioka ; Toshiyuki Ohtsuka

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.

Published in:

IEEE Transactions on Automatic Control  (Volume:58 ,  Issue: 3 )