Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control
Multilinear model decomposition of MIMO nonlinear systems and its implication for multilinear model-based control
复制标题
MIMO 非线性系统的多线性模型分解及其对基于多线性模型的控制的影响
DOI：
10.1016/j.jprocont.2012.12.007
复制
发表时间：
2013-03-01
影响因子：
4.2
通讯作者：
Li, Ping
中科院分区：
文献类型：
--
作者：
Du, Jingjing;Song, Chunyue;Li, Ping
为了实现多变量MIMO非线性过程的多线性模型分解，以差距度量为度量工具，提出了一种基于间隙度量的系统划分算法和支持该算法的二分法网格划分算法.对于给定的距离水平，这种基于间隙度量的划分算法有效地将MIMO非线性系统分解为一组线性子系统，这些子系统为基于多线性模型的控制器设计提供了足够的模型信息，而没有线性模型冗余。基于线性模型，一组线性MPC控制器的设计和组合成一个全局控制器的设定点跟踪控制。两个基准非线性过程的研究表明，所提出的方法的有效性。(C)2012爱思唯尔有限公司保留所有权利。
In order to accomplish the multilinear model decomposition of MIMO nonlinear processes with multiple scheduling variables, a systematic division algorithm based on gap metric together with a supporting dichotomy gridding algorithm is proposed by using the gap metric as a measuring tool. For a prescribed distance level, this gap metric based division algorithm effectively decomposes a MIMO nonlinear system into a set of linear subsystems which provide enough model information for multilinear model-based controller design without linear model redundancy. Based on the linear models, a set of linear MPC controllers are designed and combined into a global controller for setpoint tracking control. Two benchmark nonlinear processes are studied to demonstrate the effectiveness of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.