title: Robust fuzzy output feedback controller for affine nonlinear systems via T-S fuzzy bilinear model: CSTR benchmark.
abstract: In this paper, a robust H∞ fuzzy output feedback controller is designed for a class of affine nonlinear systems with disturbance via Takagi-Sugeno (T-S) fuzzy bilinear model. The parallel distributed compensation (PDC) technique is utilized to design a fuzzy controller. The stability conditions of the overall closed loop T-S fuzzy bilinear model are formulated in terms of Lyapunov function via linear matrix inequality (LMI). The control law is robustified by H∞ sense to attenuate external disturbance. Moreover, the desired controller gains can be obtained by solving a set of LMI. A continuous stirred tank reactor (CSTR), which is a benchmark problem in nonlinear process control, is discussed in detail to verify the effectiveness of the proposed approach with a comparative study.
authors.affiliation: Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt. Electronic address: mhamdy72@hotmail.com.
authors.forename: M
authors.initials: M
authors.lastname: Hamdy
authors.affiliation: Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt.
authors.forename: I
authors.initials: I
authors.lastname: Hamdan
keywords: Affine nonlinear system; CSTR benchmark; Fuzzy output feedback control; LMI; Lyapunov stability analysis; PDC; Robust H∞ control; T–S fuzzy bilinear model