Statistical information based two-layer model predictive control with dynamic economy and control performance for non-Gaussian stochastic process. Issue 4 (March 2021)

• Record Type: Journal Article
• Authors: Ren, Mifeng; Chen, Junghui; Shi, Peng; Yan, Gaowei; Cheng, Lan
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 4(2021)
• Page Start: 2279
• Page End: 2300
• Publication Date: 2021-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2021.01.007
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: In this paper, a two-layer model predictive control (MPC) hierarchical architecture of dynamic economic optimization (DEO) and reference tracking (RT) is proposed for non-Gaussian stochastic process in the framework of statistical information. In the upper layer, with state feedback and dynamic economic information, the economically optimal trajectories are estimated by entropy and mean based dynamic economic MPC, which uses the nonlinear dynamic model instead of the steady-state model. These estimated optimal trajectories from the upper layer are then employed as the reference trajectories of the lower layer control system. A survival information potential based MPC algorithm is used to maintain the controlled variables at their reference trajectories in the nonlinear system with non-Gaussian disturbances. The stability condition of closed-loop system dynamics is proved using the statistical linearization method. Finally, a numerical example and a continuous stirred-tank reactor are used to illustrate the merits of the proposed economic optimization and control method.