标题：Multilinear-model Dynamic Matrix Control: A Normalized-eigenvalue-based Fuzzy Weighting Method
作者：Luo Yunhui; Liu Hongbo; Jia Zhiping; Song Ruifu
作者机构：[Luo Yunhui; Jia Zhiping] Shandong Univ, Sch Comp Sci & Technol, Jinan 250100, Peoples R China.; [Luo Yunhui] Shandong Polytech Univ, Sch Light Chem 更多
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：Multi-model; Dynamic Matrix Control (DMC); Takagi-Sugeno Fuzzy Model;; Nonlinear Processes
摘要：Multi-model based scheme provides a valid methodology for the control problem of nonlinear systems, which uses the philosophy of Divide and Conquer. Operation space division determines which local model gets active or how all local models (/controllers) are weighted for control implementing in the current instant. This paper presents a novel fuzzy weighting method embedding in multilinear-model dynamic matrix control (DMC). Fuzzy weights of local models, calculated by Takagi-Sugeno (TS) fuzzy modeling for controlled systems, are relative to a type of nonlinear measures - normalized eigenvalues, derived from state-space representatives of the local models at different operation points. Then, an overall weighted model is integrated into the conventional DMC framework, and disturbances and input/output constraints can be dealt with. The proposed multi-model control method is a combination of DMC and TS modeling, thus it inherits advantages of both techniques. Case studies of two classic nonlinear systems illustrate the effectiveness of the proposed approach.