Type-1 and Type-2 effective Takagi-Sugeno fuzzy models for decentralized control of multi-input-multi-output processes. (April 2017)

• Record Type: Journal Article
• Authors: Liao, Qian-Fang; Sun, Da; Cai, Wen-Jian; Li, Shao-Yuan; Wang, You-Yi
• Is Part Of: Journal of process control. Volume 52(2017)
• Page Start: 26
• Page End: 44
• Publication Date: 2017-04
• Subjects: Interactions -- Loop pairing -- Effective Takagi-Sugeno (T-S) fuzzy model -- Type-2 fuzzy system -- Decentralized control; Process control -- Periodicals; Fabrication -- Contrôle -- Périodiques; Process control; Periodicals; Electronic journals; 660.281
• DOI: 10.1016/j.jprocont.2017.01.004
• Languages: English
• ISSNs: 0959-1524

Abstract

Highlights: ETSM is a practical method to simplify decentralized controller design. ETSM describes interacting effects without using extra terms. Simple calculations are given to build ETSMs using a loop pairing criterion. ETSM method can achieve better performance than its ETF counterpart. Type-1 and Type-2 ETSM control performances are compared. Abstract: Effective model is a novel tool for decentralized controller design to handle the interconnected interactions in a multi-input-multi-output (MIMO) process. In this paper, Type-1 and Type-2 effective Takagi-Sugeno fuzzy models (ETSM) are investigated. By means of the loop pairing criterion, simple calculations are given to build Type-1/Type-2 ETSMs which are used to describe a group of non-interacting equivalent single-input-single-output (SISO) systems to represent an MIMO process, consequently the decentralized controller design can be converted to multiple independent single-loop controller designs, and enjoy the well-developed linear control algorithms. The main contributions of this paper are: i) Compared to the existing T-S fuzzy model based decentralized control methods using extra terms to characterize interactions, ETSM is a simple feasible alternative; ii) Compared to the existing effective model methods using linear transfer functions, ETSM can be carried out without requiring exact mathematical process functions, and lays a basis to develop robust controllers since fuzzy system is powerful to handle uncertainties; iii) Type-1 and Type-2 ETSMs are presented under a unified framework to provide objective comparisons. A nonlinear MIMO process is used to demonstrate the ETSMs' superiority over the effective transfer function (ETF) counterparts as well as the evident advantage of Type-2 ETSMs in terms of robustness. A multi-evaporator refrigeration system is employed to validate the practicability of the proposed methods.