An Analytical Structure of the Simplest Takagi-Sugeno TITO PI/PD Controller. Issue 1 (2018)

• Record Type: Journal Article
• Authors: Raj, Ritu; Mohan, B.M.
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 1(2018)
• Page Start: 19
• Page End: 24
• Publication Date: 2018
• Subjects: Fuzzy control -- Takagi-Sugeno controller -- Variable gain controller -- Mathematical model -- TITO controller; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.05.004
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: An analytical structure of the simplest Takagi-Sugeno (TS) fuzzy two-input two-output (TITO) PI/PD controller is presented in this paper. A mathematical model is derived using two fuzzy sets on each input, five control rules, algebraic product (AP) triangular norm, bounded sum (BS) triangular co-norm, different universes of discourse (UoD) for different inputs, and center of gravity (CoG) defuzzifier. The controller is termed as 'the simplest' since minimum number (two) of fuzzy sets is employed on each of the inputs. The structure of the controller reveals that it is a (nonlinear) variable gain/structure controller. Also, it is shown that each output of the simplest TS fuzzy TITO PI/PD controller is the sum of two individual PI/PD controllers with nonlinear gains. Simulation results are presented to validate the controller model.