Explicit model predictive control of gas-liquid separation plant via orthogonal search tree partitioning
Explicit model predictive control of gas-liquid separation plant via orthogonal search tree partitioning
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DOI：
10.1016/j.compchemeng.2004.06.010
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发表时间：
2004-11-15
影响因子：
4.3
通讯作者：
Kocijan, J
中科院分区：
文献类型：
--
作者：
Grancharova, A;Johansen, TA;Kocijan, J
约束线性模型预测控制（MPC）问题的解可以离线以显式形式预先计算为状态空间多面体划分上定义的分段线性状态反馈。这允许在实时系统中实现高采样频率，具有高可靠性和低软件复杂性。最近，通过在分区上施加正交搜索树结构来确定近似显式PWL状态反馈解的算法已经开发出来，并且已经证明它们可能提供计算优势。本文考虑将近似方法应用于双输入双输出实验室气液分离装置显式模型预测控制器的设计，包括实验评估。近似显式MPC控制器实现了接近传统MPC的性能，但只需要一小部分实时计算机器，从而实现了快速可靠的计算。(C) 2004 Elsevier Ltd.版权所有。
Solutions to constrained linear model predictive control (MPC) problems can be pre-computed off-line in an explicit form as a piecewise linear (PWL) state feedback defined on a polyhedral partition of the state space. This admits implementation at high sampling frequencies in real-time systems with high reliability and low software complexity. Recently, algorithms that determine an approximate explicit PWL state feedback solution by imposing an orthogonal search tree structure on the partition, have been developed, and it has been shown that they may offer computational advantages. This paper considers the application of an approximate approach to the design of an explicit model predictive controller for a two-input two-output laboratory gas-liquid separation plant, including experimental evaluation. The approximate explicit MPC controller achieves performance close to that of the conventional MPC, but requires only a fraction of the real-time computational machinery, thus leading to fast and reliable computations. (C) 2004 Elsevier Ltd. All rights reserved.