Analytical structures and analysis of the simplest fuzzy PI controllers |
| |
Authors: | Ambalal V PatelAuthor VitaeBM MohanAuthor Vitae |
| |
Affiliation: | a C/O. IFCS Directorate's office, Aeronautical Development Agency, Bangalore 560 017, India b Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721 302, India |
| |
Abstract: | This paper deals with simplest fuzzy PI controllers which employ two fuzzy numbers on the universe of discourse (UOD) of each input variable, and three fuzzy numbers on the UOD of output variable. Analytical structures of such controllers are derived using triangular membership functions for fuzzification, different combinations of T-norms and T-conorms, different inference methods, and center of area (COA) method for defuzzification. Properties of these controllers are investigated. A comparative study is made on (i) the fuzzy PI controllers derived, and (ii) on the fuzzy PI controllers and their counterpart—conventional PI controller. Moreover, sufficient conditions for bounded-input bounded-output (BIBO) stability of fuzzy PI control systems are established using the well-known small gain theorem. |
| |
Keywords: | Fuzzy PI control T-norms T-conorms Fuzzy implications Analytical structures BIBO stability |
本文献已被 ScienceDirect 等数据库收录! |
|