Analytical expression of explicit MPC solution via lattice piecewise-affine function
Analytical expression of explicit MPC solution via lattice piecewise-affine function
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DOI：
10.1016/j.automatica.2008.11.023
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发表时间：
2009-04
期刊：
影响因子：
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通讯作者：
Chengtao Wen;Xiaoyan Ma;B. Ydstie
中科院分区：
文献类型：
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作者：
Chengtao Wen;Xiaoyan Ma;B. Ydstie
通过引入点阵分段仿射（PWA）函数，给出了线性模型预测控制（MPC）显式解的解析表达式。利用多参数程序得到的连续显式MPC解，建立了点阵PWA表示的系统程序。提出了一种去除MPC控制律格表达式中冗余参数的简单方法。通过对三个基准MPC问题的研究，验证了该方法的有效性。所提出的解析表达式为实现显式MPC解的在线计算和内存空间要求提供了一种非常有效和切实可行的方法。
An analytical expression of the explicit solution to linear model predictive control (MPC) is proposed by the introduction of a lattice piecewise-affine (PWA) function. A systematic procedure is developed for building a lattice PWA representation from a continuous explicit MPC solution obtained by a multi-parametric program. A simple method is presented to remove the redundant parameters in the lattice expression of MPC control laws. The effectiveness of this approach is supported by the study of three benchmark MPC problems. The proposed analytical expression provides a very efficient and practically viable method for implementing the explicit MPC solutions regarding its online calculation and memory space requirements.