Model predictive control based on adaptive hinging hyperplanes model

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• 作者：Jun Xu ; ^{yun-xu05@mails.tsinghua.edu.cn} ; Xiaolin Huang ^{huangxl06@mails.tsinghua.edu.cn} ; Xiaomu Mu ^{mxm09@mails.tsinghua.edu.cn} ; Shuning Wang ^{swang@mail.tsinghua.edu.cn}
• 关键词：Model predictive control ; Adaptive hinging hyperplanes ; Piecewise affine ; Local optimum
• 刊名：Journal of Process Control
• 出版年：2012
• 出版时间：December, 2012
• 年：2012
• 卷：22
• 期：10
• 页码：1821-1831
• 全文大小：655 K

文摘

The model of adaptive hinging hyperplanes (AHH) is used in model predictive control (MPC). The nonlinear dynamic system is approximated by the continuous piecewise affine (CPWA) model AHH and the controller design problem becomes a continuous piecewise quadratic programming. The necessary and sufficient conditions for a point to be locally optimal for such a problem are established, based on which, a descent algorithm is developed to find a local optimum. Issues concerning feasibility and stability are also discussed. Simulations are conducted to confirm the effectiveness of the proposed MPC strategy.